
THEMATIC PROGRAMS 

February 10, 2016  
Conference on Quantum Information and Quantum Control IIIPoster AbstractsThe poster boards are 6 feet wide by 3 feet high, and they mount on poles that are 6 feet tall. Posters should be no more than 3 feet wide but can be as high as presenters wish. 33x44 portrait orientation is preferred.EXPLORATIONS IN ENTANGLEMENT SUDDEN DEATH We present the results of our studies [1,2] of the dynamics of entanglement in both qubit and continuous variable quantum systems (CVQS) undergoing decoherence. In particular, we consider the decay of quantum entanglement, quantified by the concurrence, of a pair of qubits, each of which is interacting with a reservoir at finite temperature T. For a broad class of initially entangled states, we demonstrate that the system always becomes disentangled in a finite time i.e. “entanglement sudden death” (ESD) occurs. Our class of states includes all states which previously had been found to have longlived entanglement in zero temperature reservoirs. Our general result is illustrated by an example.
[2] A. AlQasimi and D. F. V. James, “Nonexistence of Entanglement
Sudden Death in High NOON States,” Optics Letters 34, 268270
(2009); arXiv:0810.0550. __________________________________________________ Optimal entanglement generation in hybrid quantum repeaters We propose a realistic protocol to generate entanglement between quantum memories at neighboring nodes in hybrid quantum repeaters. Generated entanglement includes only one type of error, which enables efficient entanglement distillation. In contrast to the known protocols with such a property, our protocol with ideal detectors achieves the theoretical limit of the success probability and the fidelity to a Bell state, promising higher efficiencies in the repeaters. We also show that the advantage of our protocol remains even with realistic threshold detector Paper reference: arXiv:0811.3100 _______________________________________________ An infinite sequence of additive channels We introduce a new (infinite) class of channels for which the additivity of the Holevo capacity holds. The additivity of the simplest channel of the class induces the additivity of another one resulting in the domino effect. Moreover, for some of the channels we prove the existence of a singleletter formula for the quantum capacity and conjecture it holds for all of the channels. Finally, we prove the additivity of the classical capacity for an infinitedimensional channel for which a singleletter formula of the quantum capacity is already known and which appears in the context of quantum field theory in curved spacetime. ref: quantph/arXiv:0903.1638 ________________________________________________ HETEROMETALLIC RINGS FOR QUANTUM INFORMATION PROCESSING. Molecular nanomagnets have been recently proposed as a novel route to a spinbased implementation of quantuminformation processing. In this perspective, Cr7Ni antiferromagnetic (AF) rings [1] possess a number of appealing features: a level scheme suited for the qubit encoding and manipulation [2], stability of the magnetic core under chemical manipulation, and relatively long and chemically engineerable decoherence times [3]. By analyzing EPR, INS, magnetization and specific heat data, we show that Cr7Ni rings can be chemically linked to each other without altering their internal magnetic structure. We demonstrate that the interring magnetic coupling can be tuned by choosing the linker, and we present calculations showing how maximally entangled states could be generated in a tripartite system comprising two Cr7Ni rings and a Cu ion by realistic microwave pulse sequences [4]. In addition, pulse sequences allowing to perform single and twoqubit gates with these systems will be discussed. [1] S. Carretta, P. Santini, G. Amoretti, T. Guidi, J. R. D. Copley, Y. Qiu, R. Caciuffo, G. Timco, and R. E. P. Winpenny, Phys. Rev. Lett. 98 (2007) 167401. [2] F. Troiani, M. Affronte, S. Carretta, P. Santini, G. Amoretti, Phys. Rev. Lett. 94 (2005) 190501. [3] M. Affronte, S. Carretta, G. Timco, R. Winpenny, Chem. Commun., 2007, 1789. [4] G. A. Timco, S. Carretta, F. Troiani, F. Tuna, R. J. Pritchard, E. J. L. McInnes, A. Ghirri, A. Candini, P. Santini, G. Amoretti, M. Affronte and R. E. P. Winpenny, Nature Nanotechnology, 4 (2009) 173. Paper reference: Nature Nanotechnology 4, 173 (2009). _________________________________________________ Scattering: a viable resource for controllimited entanglement
distribution [1] A. T. Costa, S. Bose, and Y. Omar, Phys. Rev. Lett. 96, 230501 (2006). [2] F. Ciccarello, G. M.Palma, M. Zarcone, Y Omar & V. R. Vieira, New J. Phys 8,214 (2006); J. Phys. A 40, 7993 (2007), Las. Phys. 17, 889 (2007); F. Ciccarello, G. M.Palma & M. Zarcone, Phys. Rev. B 75, 205415 (2007) F.Ciccarello, G. M.Palma, M.Paternostro, M. Zarcone and Y Omar, to appear on Sol. Stat. Sci. (2008). [3] F. Ciccarello, M.Paternostro, M. S. Kim, and G. M. Palma, Phys. Rev. Lett. 100, 150501 (2008); Int. J. Quant. Inf. 6,759 (2008). [4] F. Ciccarello, M.Paternostro, G. M. Palma, M. Zarcone, arXiv:0812.0755v1
[quantph]. ________________________________________________ Decoherence effects in interacting qubits under the influence
of correlated envrionments It is now well understood that one needs entanglement for both quantum logic operations and computations. Numerous methods of producing qubitqubit entanglement have been investigated during the past decade. A method, which is of particular interest in the context of quantum logic gate operations with systems like iontraps and semiconductor nanostructures, relies on the coherent interactions among the qubits. However generation of entanglement does not alone serve the purpose. One also needs sustained entanglement among the qubits as a computation progress. Note that sustained entanglement can only be achieved if the quantum mechanical system under evolution is completely isolated from its surrounding. In practice though the system interacts with its environment and looses its coherence, thereby degrading entanglement. Thus the study of dynamical evolution of two entangled qubits coupled to environmental degrees of freedom is of fundamental importance in quantum information sciences. In recent years numerous studies have been done in this respect. One study in particular predicted a remarkable new behavior in the entanglement dynamics of a bipartite system. It reported that a mixed state of an initially entangled two qubit system, under the influence of a pure dissipative environment becomes completely disentangled in a finite time [1]. This was termed as Entanglement Sudden Death (ESD) and was recently observed [2]. Even though numerous investigations on ESD in a variety of systems have been done so far, the question of ESD in interacting qubits remains more or less open. In this paper we investigate the entanglement dynamics for a system of interacting qubits in contact with various correlated models of the environment. Note that correlated environments are known to be less harmful to entanglement and can be tailored to be decoherence free. Thus it is imperative to investigate the effect of coherent interaction among the qubits on the entanglement in correlated environments. We present explicit analytical results for the time dependence of concurrence by considering an initial mixed state of the qubits [1] with phase dependent coherence for correlated dissipative (T1 effect) and dephasing (T2 effect) models of the environment. For the case of noninteracting qubits and correlated dissipative environment, we find no ESD. The entanglement can show a substantial slower decay. However in presence of interqubit interactions entanglement exhibits dark and bright periodic features but no ESD. The dark periods signify the time interval during which the qubits remain disentangled. We attribute this feature to the competition between coherent and dissipative interactions. For the case of noninteracting qubits and correlated dephasing environment we find delayed ESD. The delay depends on the dephasing rates. However in presence of interaction among the qubits, we find that entanglement exhibits dark and bright periodic behavior which eventually leads to ESD. In addition we find that the onset of dark and bright periods is sensitive to the initial coherence. For both models we find that the frequency of dark and bright periods depends on the strength of interaction between the qubits as well as on the correlated decay and dephasing rates. 1. T. Yu, and J. H. Eberly, Phys. Rev. Lett. 93, 140404 (2004); J. H. Eberly, and T. Yu, Science 316, 579 (2007). 2. M. P. Almeida et. al., Science 316, 579 (2007); J. Laurat, et. al. Phys. Rev. Lett. 99, 180504 (2007). ________________________________________________ Highly efficient energy transfer in photosynthetic complexes
and quantum antiZeno effect Recently it has been confirmed experimentally that longlived electronic quantum coherence plays an importation role in the highly efficient energy transfer process in photosynthesis [1]. Then several investigations were conducted to understand the underlying mechanism leading to this high efficiency [2]. They revealed that environment induced decoherence can collaborate with coherence to enhance the energy transfer efficiency. Here we consider a simplified model of photosynthetic complexes and investigate the mechanism underlying the enhancement of the efficiency of energy transfer from a view point of quantum antiZeno effect. We also propose and analyze an experimentally feasible setup, which demonstrates the enhancement of energy transfer in an artificial physical system. We believe that understanding the mechanism underlying the enhancement of energy transfer in photosynthetic complexes gives a new way to optimize a control of quantum systems based on the sophisticated natural system, for example, to design optimized solar cells. [1] G. S. Engel, et al., Nature 446, 782 (2007). [2] M. B. Plenio, et al., New J Phys. 10, 113019 (2008); P. Rebentrost, et al., New J Phys. 11, 033003 (2009). ________________________________________________ Measurementinduced entanglement localization on a threephoton
system Quantum entanglement a key resource in quantum information tasks willingly interacts with surrounding systems. Due to this interaction the entangled system under interest couples to surrounding systems and the amount of entanglement is reduced or even lost and cannot serve to its application purpose. If the entanglement is completely destroyed by the coupling, distillation protocol does not work and other correcting protocols were suggested such as unlocking of hidden entanglement or entanglement localization. Entanglement localization can concentrate back redistributed entanglement at least partially from the surroundings just by measurement on the surrounding system and proper feedforward quantum correction. We deal with the situation when the input state is maximally entangled state of two qubits and another qubit serves as a surrounding system. Because the surrounding qubit is inaccessible before the coupling it is in an unknown state. The qubits in our case are represented by polarization states of single photons. In this presentation we extensively study the influence of coherence between the surrounding photon and one photon from the entangled pair on the localization protocol which is parametrized by the probability p that the surrounding photon is indistinguishable. After the coupling between photons, represented by transmissivity T of the beamsplitter, the entanglement of the input state is reduced and for some T entanglement is completely redirected to the surrounding photon. We theoretically prove that for any linear coupling it is possible to localize nonzero entanglement back to the pair just by proper polarization sensitive detection of photon in surrounding photon (after coupling the surrounding photon is accessible). After measurement on the surrounding photon we may use additional singlecopy filtration on both photons from the pair to further raise up the concurrence. Singlecopy filtration probabilistically attenuates one polarization relatively to an orthogonal one. Qualitatively this localization is independent on the level of coherence between coupling photons. Further we show that singlecopy filtration produces the state violating the Bell inequalities for any p and T (except point [0, 0]). The theoretical results were experimentally tested using polarization entangled photons created in SPDC process. An extension of the localization procedure was calculated for multiple consecutive couplings to the independent surrounding photons. Paper reference: Phys. Rev. A 79 060304 (2009) ________________________________________________ High Quality Source of Entangled Photons based on a Polarizing
Sagnac Interferometer Configuration We have built a compact source of entangled photon pairs based
on a polarizing Sagnac interferometer. This type of source can incorporate
very long nonlinear crystals, in our case a 25mm PPKTP crystal,
which was pumped using a 404 nm laser diode. The spectral brightness
has been measured to be approximately 50 000 pairs/(somWonm). Using
quantum state tomography, we have found the tangle of the two photon
state to be of T = 0.968. This kind of entangled photon source finds
applications in several key optical quantum technologies. One example
is quantum key distribution, as the key generation rates are currently
limited by the brightness and entanglement quality of available
entangled photon sources. ________________________________________________ Probabilities for Tripartite SLOCC Entanglement Transformations For a tripartite pure state of three qubits, it is well known that there are two inequivalent classes of genuine tripartite entanglement, namely the GHZclass and the Wclass. Any two states within the same class can be transformed into each other with stochastic local operations and classical communication (SLOCC) with a nonzero probability. The optimal conversion probability, however, is only known for special cases. Here, we derive new lower and upper bounds for the optimal probability of transformation from a GHZstate to other states of the GHZclass. A key idea in the derivation of the upper bounds is to consider the action of the LOCC protocol on a different input state, namely 1/v2 [\ket000  \ket111], and demand that the probability of an outcome remains bounded by 1. Moreover, we generalize some of our results to the case where each party holds a higherdimensional system. In particular, we found that the GHZ state generalized to three qutrits, i.e., \ketGHZ3 = 1/v3 [ \ket000 + \ket111 + \ket222 ] , shared among three parties can be transformed to any state of the Wclass with probability 1 via LOCC. Acknowledgments: This work has been supported by CIFAR, CIPI, Connaught, CRC, MITACS, NSERC, QuantumWorks and the University of Toronto. Their support is gratefully acknowledged. References: [1] W. Dür et al., Phys. Rev. A 62, 062314 (2000) [2] E. Chitamber et al., Phys. Rev. Lett. 101, 140502 (2008) Machine Learning for Adaptive Quantum Measurement Classical measurement strategies are bounded in precision by the standard quantum limit. For instance, the estimation of an interferometric phase with a classical measurement strategy can only yield a precision ~ 1/vN at a cost of N photons. In contrast, quantum measurements could dramatically improve the scaling to 1/N, known as the Heisenberg limit. Employing feedback can enable Heisenberg limited measurements, yet devising such feedback protocols is complicated and often involves clever guesswork. We sidestep this challenge by bringing machine learning techniques to autonomously devise quantum measurement protocols. Specifically, our approach is based on a selflearning particle swarm algorithm that can be trained on a real world experiment. Our method does not require any knowledge about the physical system, and our algorithm can learn to account for all experimental imperfections. By accounting for imperfections, our algorithm makes timeconsuming error modelling and extensive calibration avoidable. I explain our technique for the case of interferometric phase estimation,
which has applications to atomic clocks and gravitational wave detection.
In particular, I show how our machine learning algorithm can design
adaptive measurement protocols that estimate an interferometric
phase with statistical errors close to the Heisenberg limit and
better than any other protocol to date. Furthermore, I outline how
our method is applicable for devising quantum control protocols. _______________________________________________ A fibrecoupled waveguide source of entangled photon pairs at
telecom wavelengths used for an entanglement distribution network Many quantum communication protocols rely on the distribution of entangled photon pairs. We present a highbrightness fibrecoupled source of polarisation entanglement based on spontaneous parametric downconversion (SPDC) in waveguides at telecom wavelengths (1550nm). Using fibrepigtailed ppLN crystals, each containing an inscribed waveguide, we can profit from the clean and efficient c2 SPDC process in waveguides, and also from a stable and efficient coupling to single mode fibres. The crystals are arranged in an MachZehnder interferometric setup and are pumped by a fibercoupled cw laser, operating at 775nm. The whole system  from the pump laser up to the receivers  is fibres and waveguides based, resulting in maximal stability, minimal losses and the advantage of readily integrable telecom components in the 1550nm range. Since the phasematching condition for degenerate typeI SPDC is very broad, the source yields entangled pairs over a wavelength range of 30nm. Due to the tight energy restriction from the narrowband pump photons, entangled pairs are symmetrically located in wavelength around 1550nm. This property was used to fan out the pairs to different fibers by means of a standard 8channel DWDM multiplexer, resulting in four pairs of entangled channels. Coincidences were detected with two InGaAs detectors, the first operated in a quasi free running mode and the other triggered from the detection event of the first. Although the quasi free running detector had a duty cycle of only 10%, coincidence rates of up to 450Hz were measured for each channel pair. Entangled Bellstates of fidelities up to 93% are created without subtraction of the background counts. With subtraction, the fidelities rise to 99%, indicating the proper function of our source. We furthermore implemented a 4user network with a single central source distributing entanglement to any two pairs of users using optical switches in the fibres from the source. With those incorporated switches, we achieved a twophoton entanglement distribution between any two users of the network on demand, opening the path to more complex quantum network architectures. The SPDC pairproduction, in a gain regime where higher order terms
can no longer be neglected, leads not only to high count rates but
also the emergence of multiphoton quantum states beyond the usual
EPR pairs. While these are mainly of interest for fundamental investigations,
they can also be used to increase the security and efficiency of
adapted QKD schemes. _________________________________________________ Tight Noise Thresholds for Quantum Computation with Perfect
Stabilizer Operations An important question in quantum computing is how much noise can be tolerated by a universal gate set before its quantumcomputational power is lost. There have been a number of recent results concerning the power of a computational model with perfect stabilizer operations in addition to some imperfect nonstabilizer resource. This resource could be access to a nonClifford gate or a supply of nonstabilizer states. Here we show a tight threshold exists for all nonClifford singlequbit gates undergoing depolarizing noise. This is in contrast to the situation wherein nonstabilizer qubit states are used; the thresholds in that case are not currently known to be tight. _______________________________________________ Photon bunching in parametric downconversion with continuous
wave excitation Light sources based on spontaneous parametric downconversion (SPDC) have become an essential component in the toolbox of quantum optics laboratories in the last decade, allowing stateoftheart experiments on entanglement and quantum information. The topic of multipair emission of such sources is both relevant for applied quantum information, and to more fundamental quantum optics experiments, since multipair emission affects the purity of the investigated state. We present here the first direct observation that the light field produced in SPDC via a continuous excitation (cwlaser) is bunched, i.e. it has a thermal statistics. Previous results with continuous pumped SPDC have so far been interpreted as poissonian statistics. We give an explanation why this has been the case. The thermality of the cwpumped field should come to no surprise, since investigations with pulsed pumping demonstrated full photon bunching as early as 1998. We give experimental evidence that the statistics of a continuous wave pumped SPDC field are thermal by looking at photon emission from a single, 532nm cwlaser pumped, nonlinear crystal (periodicallypoled KTP of 30mm) for typeI downconversion, in a single output arm only. A direct characterisation of the photon number statistics is provided by the secondorder temporal correlation function g(2), using a Hanbury BrownTwiss setup, in which only the signal photons of a SPDC source are registered to determine the marginal photon statistics. The data is then compared to the g(2) of a fully thermal field of the same coherence length, but smeared due to our insufficient timing resolution. The agreement with our measured data is excellent, and hence confirm the thermal statistics of cwpumped SPDC. Our approach shows the feasibility of investigating photon number statistics with compact cwpumped sources and might prove fruitful in the development of SPDC sources using cwpumping in a time domain not accessible to experiments with pulsed pumping, which are limited by the pulse repetition rate. In particular, in the rapid progress of entangledphoton sources based on SPDC, achieving higher photonpair rates will immediately lead to higher doublepair production. The work presented here will be extended in the future to cover cwSPDC sources used for production of entanglement. Paper reference: arXiv:0810.4785 ________________________________________________ Accidental cloning of a single photon qubit in twochannel continuousvariable
teleportation A singlephoton input is automatically cloned in a continuousvariable (CV) quantum teleportation because a photon number is not preserved. In a twomode polarization case CV teleportation randomly creates clones in each polarization mode. Cloning fidelity of the input polarization is limited because of nocloning theorem. We analyze how close the output is to optimal cloning and show that nearly optimal cloning is achieved at experimentally feasible squeezing levels. _______________________________________________ Weak measurements of photon polarization by twopathinterference We present the experimental realization of a weak measurement of
photon polarization based on the twopath interference between the
horizontally (H) and vertically (V) polarized components of the
input light. If the polarization is unchanged, no interference is
observed and the output is independent of input polarization. To
obtain a nonzero measurement strength, the polarizations in the
arms of the interferometer are rotated towards each other, resulting
in an interference that distingishes between the diagonal polarizations.
Effectively, we control the measurement backaction which eliminates
the distingishability of H and V polarization. When the initial
separation of H and V is reversed at a beam splitter, the interference
effects automatically produce the measurement corresponding to this
coherent backaction effect. In optical systems, such an interference
based approach to weak measurements may be easier to set up and
control than a weak interaction of polarization and spatial propagation
in birefringent materials. In particular, it may be a convenient
method for the performance of large numbers of weak measurements
in optical networks. _______________________________________________ Local expansion of W states using linear optics Recently, a number of proposals have been made on local expansion of multipartite entangled states, which give a systematic way of producing entanglement over many qubits. In the case of W states, deterministic local expansion is impossible even in principle. In recent studies, probabilistic optical gates for locally expanding an Nphoton W state to an (N+1) or (N+2)photon W state were proposed. These gates use polarizationdependent beamsplitters(PDBSs) or polarizationindependent beamsplitters(BSs), and use 1 or 2photon Fock state as an ancilla. In this study, we discuss the maximum success probability of such
gates composed of linear optics and an ancilla mode in a Fock state.
We consider the case of mixing 1photon from an Nphoton W state
with an ancillary nphoton Fock state by a PDBS, and then applying
arbitrary linear optical operations to each output port to produce
an (N+n)photon W state. We have derived an upper bound on the success
probability, which is achieved by a PDBS and (n1) BSs. In the case
of n=2, the optimal success probability was found to be higher than
that of the expanding gate proposed before. _______________________________________________ Signatures of "Quantum Interference" with a Classical
Interferometer Chirpedpulse interferometry (CPI) captures the metrological advantages of quantum HongOuMandel (HOM) interferometry in a completely classical system. Modified HOM interferometers are the basis for a number of seminal quantuminterference effects. Here, the corresponding modifications to CPI allow for the first observation of classical analogues to the HOM peak and quantum beating. They also allow a new classical technique for generating phase superresolution exhibiting a coherence length dramatically longer than that of the laser light, analogous to increased twophoton coherence lengths in entangled states. Paper reference: Phys. Rev. Lett. 102, 243601 (2009) ______________________________________________ Spiral Zone Plates The main goal of this paper is to study optical properties of Spiral Zone Plates. SZPs are apertures focusing light in a way similar to Fresnel Zone Plates which have been investigated for a few dozen years. SZPs can be used to generate optical vortices or construct optical tweezers. First, I produced SZPs in a simple and inexpensive way. In my research I took photographs of foci. I prepared an experimental setup, which included homemade components such as a guide rail with a camera and a electronic control system. I discovered and investigated many dependencies between the shape of SZP, the intensity of focused light and the appearance of foci. I proposed and experimentally verified formulae describing a position of foci and a number of bright lines observed in a picture of a focus. I wrote computer programs processing the experimental data. Experimental results were compared with my numerical simulations and I noticed qualitative agreement between the two. I hope that it will be possible to apply results of our research e.g. in adaptive optics. _________________________________________________________ Decoherence Supression via environment preparation Decoherence provides an elegant framework to explain why an open quantum system coupled to its environment will exhibit a set of preferred states, usually ruling out a coherent superposition of arbitrary states. This framework relies essentially on the interaction between the system and its environment. In the simplest model of decoherence, it was readily realized that there exist initial state of the environment that allow for decoherencefree unitary evolution of the quantum system. We investigate the conditions under which such special initial
states do exist in a framework where the quantum system interacts
with its environment and the environment also evolves by itself.
The results obtained underline the crucial role of the environment's
selfevolution. The ability to identify those special initial states
and to prepare them might be used in order to store quantum states.
Indeed, even if the environment cannot be controlled, it might be
possible to prepare it in a specific initial state. However, our
results restrict what can be expected from such a technique. More
precisely, we obtain a mathematical characterization for the existence
of an initial state allowing decoherencefree evolution in presence
of an interaction hamiltonian and a selfevolution of the environment.
This result is stated in terms of the structure of the two hamiltonians.
We also present topological evidences that indicate that pairs of
hamiltonians allowing for decoherencefree evolution are rare among
pairs of hamiltonians. ________________________________________________ Decoherence of a quantum gyroscope A quantum reference frame can be used as a valuable physical ressource by allowing the measurement of relational observables on other systems. In a theory restricted by a superselection rule, e.g. lacking a reference direction in space, those measurements would otherwise be impossible to perform. The study of the dynamics of a quantum reference frame is of great importance for the design of quantum information processors since components of quantum hardware can be subject to quantum fluctuations and decoherence effects. One important question is to quantify the longevity of the reference, i.e. how many times it can be used before producing unreliable measurements. Poulin and Yard have shown that a quantum gyroscope prepared in
a coherent state would evolve semiclassically and be useful to
measure spin½ particles along a direction. Here, we push
analysis further by focusing on the decoherence of the reference.
We demonstrate that their model is equivalent to another physically
motivated model where the quantum reference interacts with several
spin½ particle, one after the other, through a Heisenberg
interaction. Techniques used to establish this result could be used
for interaction with spins of higherorder. We also show that a
superposition of two coherent states will decohere into a statistical
mixture of those two states. Preliminary results indicate that these
coherent states minimize purity loss. The study of the decoherence
of such a quantum reference exhibits an interesting transition between
quantum and semiclassical behaviour. ________________________________________________ An experimental test of Svetlichny's inequality It is well known that quantum mechanics is incompatible with local
realistic theories. Svetlichny showed, through the development of
a Belllike inequality, that quantum mechanics is also incompatible
with a restricted class of nonlocal realistic theories for three
particles where any twobody nonlocal correlations are allowed.
In the present work, we experimentally generate threephoton GHZ
states to test Svetlichny's inequality. Our states are fully characterized
by quantum state tomography using an overcomplete set of measurements
and have a fidelity of (84±1)% with the target state. We
measure a convincing, 3.6 standard deviations, violation of Svetlichny's
inequality and rule out this class of restricted nonlocal realistic
models. _______________________________________________ Fast Error Correction of CodewordStabilized Quantum Codes Codeword stabilized (CWS) codes is a general class of quantum codes
that also includes stabilizer codes. The main goal of this paper
is to simplify error correction of CWS codes. Our analysis shows
that these codes may require complicated nonlocal errorcorrecting
measurements that have exponential complexity in code length instead
of the polynomial complexity known for stabilizer codes. To simplify
error correction, quasilinear CWS codes (with a partial group word
operator set) are first introduced in this paper. It is then shown
that for these codes nonlocal measurements can be decomposed into
simple local measurements. Secondly, a new error correction scheme
is proposed, which exponentially reduces the total number of decoding
measurements, and also converts a generic CWS code into a quasilinear
CWS code. As a result, both the number and the complexity of nonlocal
measurements are reduced exponentially for general CWS codes.
_______________________________________________ A SICPOVM via Weak Measurements _______________________________________________ Realization of a qubit with three pWave Superfluid Vortices We show that Majorana fermions trapped in three vortices in a pwave
superfluid form a qubit in a topological quantum computing (TQC).
It has been already proposed that a qubit may be implemented with
two or four Majorana fermions, where a qubit operation is performed
by exchanging the positions of vortices. The set of quantum gates
thus obtained is, however, a discrete subset of the relevant unitary
group. Here, we propose a new scheme, where three Majorana fermions
form a qubit. We show that continuous qubit operations are possible
by exchange of the positions of the Majorana fermions complemented
with dynamical phase change. ________________________________________________ We report on our experimental progress in implementing quantum
memory in Prdoped crystals, based on the original proposal of Duan,
Lukin, Cirak and Zoller (DLCZ). We optimized state preparation sequence
theoretically, and have an experimental evidence of successful selection
and initialization of an ensemble of ions. Preliminary experiments
with Raman scattering suggest the need to employ an extremely narrow
(1MHz FWHM) filter to separate nonclassical light from the ensemble
from a strong pump beam. We have developed and tested such filter
via holeburning in a separate Prdoped crystal. _______________________________________________
This work on the generation of entanglement and its survival in coupled waveguides is motivated by the possibility of using coupled waveguides as basic units of quantum circuits. We study entanglement in terms of quantitative measures and examine the robustness of waveguide structures in retaining the entanglement. We first study the dynamics of entanglement for a nonGaussian state. We assume that single photons are coupled to each of the two waveguides. In this case the initially separable state evolves into an entangled state. We quantify the entanglement of the state at time t using the log negativity E which is related to the negative eigenvalues of the transposed density matrix of the system. The log negativity E is a nonnegative quantity and a nonzero value of would mean that the state is entangled. We found that the entanglement quantified by the log negativity shows an oscillatory behavior and the system gets entangled and disentangled periodically. Further we investigate the dynamics of entanglement for Gaussian states. For this purpose we assume that squeezed light is injected in each of the two waveguides. We evaluate the logarithmic negativity to study the time evolution of entanglement. We find that log negativity oscillates between nonzero and zero value. This suggests that during its propagation the separable input state evolves into an entangled state and vice versa due to the coupling between the waveguide modes. We also address the question of decoherence in coupled waveguides by considering the leakage of the modes in case of an initial separable Gaussian states. We find that substantial amount of entanglement persists between the waveguide modes even for considerable decay rates. 1. J. C. F. Matthews, A. Politi, A. Stefanov, and J. L. O'Brien, Nature Photonics 3, 346 (2009). 2. D. W. Berry and H. M. Wiseman, Nature Photonics 3, 317 (2009). 3. A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, J. L. O'Brien,
Science 320, 646 (2008). _______________________________________________ Measuring Bohmian Trajectories of a Photon Using Weak Measurement In the article "Grounding Bohmian Mechanics in Weak Measurements
and Bayesianism", Howard Wiseman proposed an operational definition
for a measurement of what he calls the "naively observable
velocity" of a particle. We use this proposal to experimentally
reconstruct the trajectories of a single photon in a doubleslit
interferometer. These trajectories have been theoretically derived
in "Bohmian Trajectories for Photons". ____________________________________________________ Spatial SuperResolution with Triphoton N00N States _______________________________________________ Robust entanglement generation in a system based on a nitrogen
vacancy centre via numericallyoptimised control pulses We discuss schemes for the generation of an entangling gate between the electronic and nuclear spins in the system of a single nitrogen vacancy centre and an adjacent Carbon13 atom in diamond, which is robust against two types of systematic errors: pulselength and off resonance errors. The errors occur when the apparatus controlling the dynamics of the system operates in an imprecise but reproducible manner. We investigate effects when these systematic errors are present in various pulse sequences which, if perfectly executed, yield the desired entangling gate. We examine their effect in a basic sequential application of rectangular pulses of microwave and radio frequency radiation on the composite electron nuclear spin system. Furthermore, when exposed to such systematic errors we compare the performance of this basic sequential pulse with more robust pulses: composite pulses, and numericallyoptimised pulses produced from a modified algorithm derived from gradient ascent pulse engineering (GRAPE). The sequential pulses have previously been used to generate twoqubit entanglement [1], while composite pulses are known to be capable of correcting systematic errors in nuclear magnetic resonance (NMR) experiments [2]. The GRAPE algorithm was also initially developed in NMR experiments to produce pulses that minimise the time required to implement a target unitary operator [3] and some quantum algorithmic elements [4]. GRAPE pulses have been experimentally demonstrated in a single qubit trapped ion system [5]. They have also been used to implement highfidelity single qubit operations in a noisy environment due to random telegraph noise in superconducting solidstate qubits [6]. We adapt and develop the methods of composite pulses and the GRAPE algorithm to be able operate in the the combined electron and nuclear spin system when exposed to these types of systematic errors, to produce a highly robust entangling gate. We have found that the gate created by the GRAPE numericallyoptimised pulses is more robust against systematic errors and has faster implementation time than that required by the corresponding composite pulses. References Paper reference: arXiv:0903.3827 _______________________________________________ Switchable effective interactions in moleculebased quantum
gates. Magnetic molecules containing strongly exchangecoupled transitionmetal ions have been recently proposed as promising candidates for qubit encoding and manipulation [1,2]. A major obstacle of this approach is the need to vary the value of moleculemolecule exchange couplings during each twoqubit operation. This can be hardly done directly in a controlled way. We show that molecules made of isosceles antiferromagnetic triangles constitute advantageous units to solve this problem [3]. In fact, the peculiar spin structure of their lowenergy wavefunctions enables switchable effective intermolecular couplings in presence of permanent microscopic interactions. Another promising scheme is a magnetic link between neighboring nanomagnets made by a magnetic complex (e.g., a dimer) with a singlet groundstate. Effective interactions can be switched on by exciting the linking complex to a magnetic state. System of this type have just begun to be synthesized. [1] M.N. Leuenberger and D. Loss, Nature 410, 789 (2001). [2] F. Troiani, A. Ghirri, M. Affronte, S. Carretta, P. Santini, G. Amoretti, S. Piligkos, G. Timco and R. E. P. Winpenny, Phys. Rev. Lett. 94, 207208 (2005). [3] S. Carretta, P. Santini, G. Amoretti, F. Troiani, and M. Affronte,
Phys. Rev. B 76, 024408 (2007). _______________________________________________ Inhomogeneous broadening of energy levels is one of the principal limiting factors for achieving ßlow" or ßtationary" light in solid state media by means of electromagnetically induced transparency (EIT), a quantum version of stimulated Raman adiabatic passage (STIRAP). Starkshiftchirped rapidadiabaticpassage (SCRAP) has been shown to be far less sensitive to inhomogeneous broadening than STIRAP, a population transfer technique to which it is closely related. We further optimise the pulses used in SCRAP to be even less sensitive to inhomogeneous broadening in a lambdatype threelevel system. The optimised pulses perform at a higher fidelity than the standard gaussian pulses for a wide range of detunings (i.e. large inhomogeneous broadening). Paper reference: arXiv:0905.0052v1 _______________________________________________ Noise poses a challenge for any realworld implementation in quantum
information science. The theory of error correction deals with this
problem via methods to encode and recover quantum information in
a way that is resilient against that noise. Unitarily correctable
codes are an error correction technique wherein a single unitary
recovery operation is applied without the need for an ancilla Hilbert
space. Here, we present the ?rst optical implementation of a nontrivial
unitarily correctable code for a noisy quantum channel with no decoherencefree
subspaces or noiseless subsystems. We show that recovery of our
initials states is achieved with high ?delity (= 0.97), quantitatively
proving the efficacy of this unitarily correctable code. Quantum Systems and Control Theory: Constraints by Symmetry
and by Relaxation We investigate the universality of multiqubit controlled systems in architectures of various symmetries in coupling type and topology. Explicit reachability sets under symmetry constraints are provided. Thus for a given experimental coupling architecture practical decision problems can be solved in a unified way: (i) can a target Hamiltonian be simulated? (ii) can a target gate be synthesised? (iii) to which extent is the system observable by a given set of detection operators?  Constraints by relaxation are sketched in the framework of Lie semigroups. Its practical implications reach from Markovianity of quantum channels to average Liouvillians. In turn, lack of symmetry is a convenient necessary condition for full controllability. Though much easier to assess than the wellestablished Liealgebra rank condition, is not yet sufficient. We present simple further conditions that add to lack of symmetry ensuring full controllability and universality of the controlled hardware setup. Paper reference: arXiv:0904.4654, arXiv:0811.3906 ________________________________________________ Stability and Utility of Chiral Spin Currents for Quantum Computing
in Quantum Dots Within degenerate subspaces, states are commonly classified according to symmetries present in the underlying Hamiltonian. However, alternate classifications may be preferable with respect to stability and coherence, particularly if they exhibit manybody correlations. We have surveyed the lowlying degenerate eigenstates of twodimensional quantum dots containing both spatial [O(1)] and spin [O(3)] rotational symmetry. The threeparticle system in particular is fourfold degenerate with S = 1/2 whose states are conventionally described by the quantum numbers (Lz, Sz) = (±1, ±1/2). Transitions between these states are essentially singleparticle transitions. However, states with a definite spin chirality may be alternatively created from these states, each carrying a welldefined chiral spin current. These are classified by quantum numbers (C, Q) = (±1, ±1), where C is the chirality and Q is a topological charge associated with the spin winding. Within a degenerate subspace, C and Q are conserved quantities. These are manybody correlated states and can be expected to yield longer lifetimes in the presence of singleparticle perturbations compared to states classified by Lz and Sz. Our calculations employ configurationinteraction techniques for confined particles with longrange Coulomb repulsion. We directly compute the correlated manybody eigenstates of the system containing thousands of Slater determinants. We present conclusive evidence of statistical and Coulomb induced chiral spin textures within energetically degenerate subspaces, and present results examining their stability with respect to singleparticle perturbations. _______________________________________________ Quantum phase estimation in the presence of phase noise in qubit
systems We address quantum estimation protocols designed to estimate physical parameters of qubit gates in the presence of phase noise. We derive analytical formulae for the precision of phase estimation obtainable with qubit probe and show the optimality of equatorial qubit probes. We explicitly evaluate quantum Fisher information and show that ultimate quantum limit to precision may be achieved by an observable measurable with current technology. An experimental setup for the implementation of the suggested measurement is discussed in some details. Paper reference: in preparation _______________________________________________ Comparison of maximumlikelihood and linear reconstruction schemes
in quantum measurement tomography The effects on quantum states caused by measurement apparatuses can be described in general by sets of completely positive maps called instruments. There exists a linear reconstruction scheme for the instrument describing a given measurement apparatus from experimental data, but the scheme has the disadvantage that it can give unphysical reconstructions. In this poster we propose a maximumlikelihood reconstruction scheme that addresses this disadvantage. We show that our scheme always gives a physical reconstruction, and that it does so more efficiently than the linear scheme. ________________________________________________ FockSpace Coherence in Multilevel Quantum Dots A Fockspace coherence can occur in systems where states with different
particle numbers are simultaneously available. In such systems 
for example, a quantum dot with open transport channels  the lifetime
and robustness of these coherent states may be long lived relative
to the more common singleparticlenumber coherence  for example,
a Hilbertspace coherence between spin states. We have developed
a microscopic, nonMarkovian theory to investigate realtime features
of this Fockcoherence in multilevel quantum dots far from equilibrium.
In a model where the dominant relaxation mechanism is through sequential
tunnelling transport, we observe a decoupling between the evolution
of the Fockspace coherence and that of the occupation probabilities
for the dot states. In experimentally relevant parameter regimes,
the lifetime of the Fockspace coherence is dramatically increased
even when the Hilbertspace coherence between states with same particle
number decays to zero. This is a dramatic example of how a manybody
coherence can remain robust even in the presence of rather large
singleparticle noise. _______________________________________________ Optimal control of a qubit coupled to a NonMarkovian Environment A central challenge for implementing quantum computing in the solid state is decoupling the qubits from the intrinsic noise of the material. We investigate the implementation of quantum gates for a paradigmatic, nonMarkovian model: a singlequbit coupled to a twolevel system that is exposed to a heat bath. We systematically search for optimal pulses using a generalization of the novel open systems gradient ascent pulse engineering algorithm. Next to the known optimal bias point of this model, there are optimal pulses which lead to highfidelity quantum operations for a wide range of decoherence parameters. Paper reference: Phys. Rev. Lett. 102, 090401 (2009). ________________________________________________ A LightMatter Interface for Quantum Information Processing We will present our design and preliminary data of a lightmatter
interface for tasks such as twoqubit quantum gate in quantum information.
Using cavity resonance, we modify the spectrum of spontaneously
parametric downconversion to match the atomic resonance. We use
laser cooled and trapped atoms to see the interaction between light
and matter. Deterministic Quantum Phase Gates for Two Atoms Trapped in Separate
Cavities Mediated by An Optical Fiber The existence of quantum computing algorithms shows that a quantum
computer can solve specific problems that are intractable with classical
computers [1]. This discovery has stimulated a flurry of research
into this mathematical concept. It has been shown that any quantum
computational operation can be decomposed into a series of quantum
logic gates, and twoqubit controlled phase gate and onequbit gate
are universal for constructing a quantum computer [2]. For the physical
implementation of quantum computation, a quantum system is needed.
The real quantum system should satisfy five requirements as follows
[3]: (i) qubits can be initialized to arbitrary values; (ii) gate
operation on specific qubits can be turned on and off at will; (iii)
qubits can be read easily; (iv) quantum gates faster than decoherence
time; (v) the system should be scalable. Several physical systems
are competent, such as trapped ions [4], cavity QED [5], superconducting
circuits [6], semiconductor quantum dots [7], linear optics [8],
impurity spins in solids [9], etc. Direct observation of Hardy's paradox by joint weak measurement
with an entangled photon pair We implemented a joint weak measurement of the trajectories of two photons in a photonic version of Hardy's experiment. The joint weak measurement has been performed via an entangled meter state in polarization degrees of freedom of the two photons. Unlike Hardy's original argument in which the contradiction is inferred by retrodiction, our experiment reveals its paradoxical nature as preposterous values actually read out from the meter. Such a direct observation of a paradox will give us a new insight into the spooky action of quantum mechanics. Paper reference: arXiv:0811.1625 ________________________________________________ Coherent control of vibrational states in optical lattices via
interference between one and twophonon excitation We demonstrate that the control of quantum vibrational states in
an optical lattice can be achieved by using interference between
twophonon excitation at w and onephonon excitation at 2w. We use
this technique to improve the ratio of coherent coupling to loss
in our system. In our experiment, 85 Rb atoms are trapped in a vertical
optical lattice, leading to a tiltedwashboard potential when the
effect of gravity is considered. While neighboring vibrational states
in one well may be coherently coupled by sinusoidal drive of the
lattice displacement at the secular frequency w, this also leads
to leakage into higher excited states and eventual loss from the
lattice. We use coherent control to mitigate this problem, by adding
a simultaneous parametric drive at 2w, directly coupling states
of the same parity. The resonant drive corresponds to Raman scattering
of laser beams phasemodulated (PM) at w, while the parametric drive
corresponds to Raman scattering of laser beams amplitudemodulated
(AM) at 2w. We demonstrate experimentally that quantum interference
between the absorption of two PM quanta and one AM quantum can be
used to control the branching ratio, and specifically, to improve
the ratio of coherent coupling to loss.

