Spatially resolving two incoherent point sources whose separation is well below the diffraction limit dictated by classical optics has recently been shown possible using techniques that decompose the incoming radiation into orthogonal transverse modes. Such a demultiplexing procedure, however, must be perfectly calibrated to the transverse profile of the incoming light as any misalignment of the modes effectively restores the diffraction limit for small source separations. We study by how much can one mitigate such an effect at the level of measurement which, after being imperfectly demultiplexed due to inevitable misalignment, may still be partially corrected by linearly transforming the relevant dominating transverse modes. We consider two complementary tasks: the estimation of the separation between the two sources and the discrimination between one and two incoherent point sources. We show that, although one cannot fully restore super-resolving powers even when the value of the misalignment is perfectly known its negative impact on the ultimate sensitivity can be significantly reduced. In the case of estimation we analytically determine the exact relation between the minimal resolvable separation as a function of misalignment whereas for discrimination we analytically determine the relation between misalignment and the probability of error, as well as numerically determine how the latter scales in the limit of long interrogation times.

%B Physical Review A %V 103 %8 Jan-02-2021 %U https://link.aps.org/doi/10.1103/PhysRevA.103.022406http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.103.022406/fulltexthttps://link.aps.org/article/10.1103/PhysRevA.103.022406 %! Phys. Rev. A %R 10.1103/PhysRevA.103.022406 %0 Journal Article %J Physical Review A %D 2021 %T Resource theory of unextendibility and nonasymptotic quantum capacity %A Kaur, Eneet %A Das, Siddhartha %A Wilde, Mark M. %A Winter, Andreas %B Physical Review A %V 104 %P 022401 %8 Aug-01-2021 %U https://link.aps.org/doi/10.1103/PhysRevA.104.022401 %! Phys. Rev. A %R 10.1103/PhysRevA.104.022401 %0 Journal Article %J Communications Physics %D 2021 %T Testing the foundation of quantum physics in space via Interferometric and non-interferometric experiments with mesoscopic nanoparticlesAbstract %A Gasbarri, Giulio %A Belenchia, Alessio %A Carlesso, Matteo %A Donadi, Sandro %A Bassi, Angelo %A Kaltenbaek, Rainer %A Paternostro, Mauro %A Ulbricht, Hendrik %B Communications Physics %V 4 %8 Jan-12-2021 %U http://www.nature.com/articles/s42005-021-00656-7http://www.nature.com/articles/s42005-021-00656-7.pdfhttp://www.nature.com/articles/s42005-021-00656-7.pdfhttp://www.nature.com/articles/s42005-021-00656-7 %! Commun Phys %R 10.1038/s42005-021-00656-7 %0 Journal Article %J Quantum %D 2020 %T Accessible coherence in open quantum system dynamics %A Díaz, María García %A Desef, Benjamin %A Rosati, Matteo %A Egloff, Dario %A John Calsamiglia %A Smirne, Andrea %A Skotiniotis, Michaelis %A Huelga, Susana F. %B Quantum %V 4 %P 249 %8 Feb-04-2020 %U https://quantum-journal.orghttps://quantum-journal.org/papers/q-2020-04-02-249/https://quantum-journal.org/papers/q-2020-04-02-249/pdf/ %! Quantum %R 10.22331/q10.22331/q-2020-04-02-249 %0 Journal Article %J Entropy %D 2020 %T Quantum Work Statistics with Initial Coherence %A Díaz, María García %A Guarnieri, Giacomo %A Paternostro, Mauro %B Entropy %V 22 %P 1223 %8 Jan-11-2020 %U https://www.mdpi.com/1099-4300/22/11/1223https://www.mdpi.com/1099-4300/22/11/1223/pdf %! Entropy %R 10.3390/e22111223 %0 Conference Paper %B 2019 IEEE International Symposium on Information Theory (ISIT) %D 2019 %T Convexity and Operational Interpretation of the Quantum Information Bottleneck Function %A Datta, Nilanjana %A Hirche, Christoph %A Winter, Andreas %B 2019 IEEE International Symposium on Information Theory (ISIT) %I IEEE %C Paris, France %8 07/2019 %U https://ieeexplore.ieee.org/document/8849518/ %R 10.1109/ISIT.2019.8849518 %0 Journal Article %J Phys. Rev. Lett. %D 2019 %T Extendibility Limits the Performance of Quantum Processors %A Kaur, Eneet %A Das, Siddhartha %A Wilde, Mark M. %A Winter, Andreas %B Phys. Rev. Lett. %V 123 %P 070502 %8 Aug %U https://link.aps.org/doi/10.1103/PhysRevLett.123.070502 %R 10.1103/PhysRevLett.123.070502 %0 Book %D 2019 %T Quantum Information:The Separability versus Entanglement Problem %A Das, Sreetama %A Chanda, Titas %A Lewenstein, Maciej %A Sanpera, Anna %A Sen De, Aditi %A Sen, Ujjwal %E Bruß, Dagmar %E Leuchs, Gerd %7 1 %I Wiley %P 127 - 174 %@ 9783527413539 %U https://onlinelibrary.wiley.com/doi/book/10.1002/9783527805785 %R 10.1002/978352780578510.1002/9783527805785.ch8 %0 Journal Article %J IEEE Transactions on Information Theory %D 2019 %T Secure and Robust Identification via Classical-Quantum Channels %A Boche, Holger %A Deppe, Christian %A Winter, Andreas %B IEEE Transactions on Information Theory %V 65 %P 6734 - 6749 %8 Jan-10-2019 %U https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18https://ieeexplore.ieee.org/document/8731894/http://xplorestaging.ieee.org/ielx7/18/8836351/08731894.pdf?arnumber=8731894 %! IEEE Trans. Inform. Theory %R 10.1109/TIT.1810.1109/TIT.2019.2920952 %0 Journal Article %J Physical Review A %D 2018 %T Experimentally detecting a quantum change point via the Bayesian inference %A Yu, Shang %A Huang, Chang-Jiang %A Tang, Jian-Shun %A Jia, Zhih-Ahn %A Wang, Yi-Tao %A Ke, Zhi-Jin %A Liu, Wei %A Liu, Xiao %A Zhou, Zong-Quan %A Cheng, Ze-Di %A Xu, Jin-Shi %A Wu, Yu-Chun %A Zhao, Yuan-Yuan %A Xiang, Guo-Yong %A Li, Chuan-Feng %A Guo, Guang-Can %A Sentís, Gael %A Muñoz-Tapia, Ramon %B Physical Review A %V 98 %8 Jan-10-2018 %U https://link.aps.org/doi/10.1103/PhysRevA.98.040301http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.98.040301/fulltexthttps://link.aps.org/article/10.1103/PhysRevA.98.040301 %! Phys. Rev. A %R 10.1103/PhysRevA.98.040301 %0 Journal Article %J Journal of Mathematical Physics %D 2018 %T Feynman graphs and the large dimensional limit of multipartite entanglement %A Di Martino, Sara %A Facchi, Paolo %A Florio, Giuseppe %B Journal of Mathematical Physics %V 59 %P 012201 %8 Jan-01-2018 %U http://aip.scitation.org/doi/10.1063/1.5019481http://aip.scitation.org/doi/pdf/10.1063/1.5019481 %! Journal of Mathematical Physics %R 10.1063/1.5019481 %0 Conference Paper %B 2018 IEEE International Symposium on Information Theory (ISIT) %D 2018 %T Fully Quantum Arbitrarily Varying Channels: Random Coding Capacity and Capacity Dichotomy %A Boche, Holger %A Deppe, Christian %A Noetzel, Janis %A Winter, Andreas %XWe consider a model of communication via a fully quantum jammer channel with quantum jammer, quantum sender and quantum receiver, which we dub quantum arbitrarily varying channel (QAVC). Restricting to finite dimensional user and jammer systems, we show, using permutation symmetry and a de Finetti reduction, how the random coding capacity (classical and quantum) of the QAVC is reduced to the capacity of a naturally associated compound channel, which is obtained by restricting the jammer to i.i.d. input states. Furthermore, we demonstrate that the shared randomness required is at most logarithmic in the block length, via a quantum version of the ``elimination of of correlation{''} using a random matrix tail bound. This implies a dichotomy theorem: either the classical capacity of the QAVC is zero, and then also the quantum capacity is zero, or each capacity equals its random coding variant.

%B 2018 IEEE International Symposium on Information Theory (ISIT) %S {IEEE International Symposium on Information Theory} %I IEEE %P {2012-2016} %8 07/2018 %@ 978-1-5386-4781-3 %R 10.1109/ISIT.2018.8437610 %0 Journal Article %J Reports on Progress in Physics %D 2018 %T Genuine quantum correlations in quantum many-body systems: a review of recent progress %A De Chiara, Gabriele %A Sanpera, Anna %B Reports on Progress in Physics %V 81 %P 074002 %8 Jan-07-2018 %! Rep. Prog. Phys. %R 10.1088/1361-6633/aabf61 %0 Conference Paper %B 2018 IEEE International Symposium on Information Theory (ISIT) %D 2018 %T Secure and Robust Identification via Classical-Quantum Channels %A Boche, Holger %A Deppe, Christian %A Winter, Andreas %B 2018 IEEE International Symposium on Information Theory (ISIT) %S {IEEE International Symposium on Information Theory} %I IEEE %C Vail, CO %P {2674-2678} %8 07/2018 %@ 978-1-5386-4781-3 %R 10.1109/ISIT.2018.8437893 %0 Journal Article %J IEEE Transactions on Information Theory %D 2017 %T Constant Compositions in the Sphere Packing Bound for Classical-Quantum Channels %A Dalai, Marco %A Winter, Andreas %B IEEE Transactions on Information Theory %V 63 %P 5603 - 5617 %8 Sep-01-2017 %U http://ieeexplore.ieee.org/document/7979569/ %! IEEE Trans. Inform. Theory %R 10.1109/TIT.2017.2726555 %0 Journal Article %J New Journal of Physics %D 2017 %T Flexible resources for quantum metrology %A Friis, Nicolai %A Orsucci, Davide %A Skotiniotis, Michalis %A Sekatski, Pavel %A Dunjko, Vedran %A Briegel, Hans J. %A Dür, Wolfgang %X Quantum metrology offers a quadratic advantage over classical approaches to parameter estimation problems by utilising entanglement and nonclassicality. However, the hurdle of actually implementing the necessary quantum probe states and measurements, which vary drastically for different metrological scenarios, is usually not taken into account. We show that for a wide range of tasks in metrology, 2D cluster states (a particular family of states useful for measurement-based quantum computation) can serve as flexible resources that allow one to efficiently prepare any required state for sensing, and perform appropriate (entangled) measurements using only single qubit operations. Crucially, the overhead in the number of qubits is less than quadratic, thus preserving the quantum scaling advantage. This is ensured by using a compression to a logarithmically sized space that contains all relevant information for sensing. We specifically demonstrate how our method can be used to obtain optimal scaling for phase and frequency estimation in local estimation problems, as well as for the Bayesian equivalents with Gaussian priors of varying widths. Furthermore, we show that in the paradigmatic case of local phase estimation 1D cluster states are sufficient for optimal state preparation and measurement. %B New Journal of Physics %V 19 %P 063044 %U http://stacks.iop.org/1367-2630/19/i=6/a=063044 %R 10.1088/1367-2630/aa7144 %0 Journal Article %J NEW JOURNAL OF PHYSICS %D 2017 %T Global and local thermometry schemes in coupled quantum systems %A Campbell, Steve %A Mehboudi, Mohammad %A De Chiara, Gabriele %A Paternostro, Mauro %X We study the ultimate bounds on the estimation of temperature for an interacting quantum system. We consider two coupled bosonic modes that are assumed to be thermal and using quantum estimation theory establish the role the Hamiltonian parameters play in thermometry. We show that in the case of a conserved particle number the interaction between the modes leads to a decrease in the overall sensitivity to temperature, while interestingly, if particle exchange is allowed with the thermal bath the converse is true. We explain this dichotomy by examining the energy spectra. Finally, we devise experimentally implementable thermometry schemes that rely only on locally accessible information from the total system, showing that almost Heisenberg limited precision can still be achieved, and we address the (im)possibility for multiparameter estimation in the system. %B NEW JOURNAL OF PHYSICS %V 19 %8 oct %R 10.1088/1367-2630/aa7fac %0 Journal Article %J PHYSICAL REVIEW LETTERS %D 2017 %T Improved Sensing with a Single Qubit %A Sekatski, P. %A Skotiniotis, M. %A Duer, W. %XWe consider quantum metrology with arbitrary prior knowledge of the parameter. We demonstrate that a single sensing two-level system can act as a virtual multilevel system that offers increased sensitivity in a Bayesian single-shot metrology scenario, and that allows one to estimate (arbitrary) large parameter values by avoiding phase wraps. This is achieved by making use of additional degrees of freedom or auxiliary systems not participating in the sensing process. The joint system is manipulated by intermediate control operations in such a way that an effective Hamiltonian, with an arbitrary spectrum, is generated that mimics the spectrum of a multisystem interacting with the field. We show how to use additional internal degrees of freedom of a single trapped ion to achieve a high-sensitivity magnetic field sensor for fields with arbitrary prior knowledge.

%B PHYSICAL REVIEW LETTERS %V 118 %R 10.1103/PhysRevLett.118.170801 %0 Journal Article %J Quantum %D 2017 %T Macroscopic superpositions require tremendous measurement devices %A Skotiniotis, Michalis %A Dür, Wolfgang %A Sekatski, Pavel %X Michalis Skotiniotis, Wolfgang Dür, and Pavel Sekatski, Quantum 1, 34 (2017). https://doi.org/10.22331/q-2017-11-21-34 We consider fundamental limits on the detectable size of macroscopic quantum superpositions. We argue that a full quantum mechanical treatment of system plus measurement device is required,… %B Quantum %V 1 %P 34 %8 nov %U https://quantum-journal.org/papers/q-2017-11-21-34/ %R 10.22331/q-2017-11-21-34 %0 Journal Article %J PHYSICAL REVIEW B %D 2017 %T Magnetic phases of spin-1 lattice gases with random interactions %A McAlpine, Kenneth D. %A Paganelli, Simone %A Ciuchi, Sergio %A Sanpera, Anna %A De Chiara, Gabriele %X A spin-1 atomic gas in an optical lattice, in the unit-filling Mott insulator (MI) phase and in the presence of disordered spin-dependent interaction, is considered. In this regime, at zero temperature, the system is well described by a disordered rotationally invariant spin-1 bilinear-biquadratic model. We study, via the density matrix renormalization group algorithm, a bounded disorder model such that the spin interactions can be locally either ferromagnetic or antiferromagnetic. Random interactions induce the appearance of a disordered ferromagnetic phase characterized by a nonvanishing value of the spin glass order parameter across the boundary between a ferromagnetic phase and a dimer phase exhibiting random singlet order. We also study the distribution of the block entanglement entropy in the different regions. %B PHYSICAL REVIEW B %V 95 %8 jun %R 10.1103/PhysRevB.95.235128 %0 Journal Article %J Quantum %D 2017 %T Quantum metrology with full and fast quantum control %A Sekatski, Pavel %A Skotiniotis, Michalis %A Kołodyński, Janek %A Dür, Wolfgang %X Pavel Sekatski, Michalis Skotiniotis, Janek Kołodyński, and Wolfgang Dür, Quantum 1, 27 (2017). https://doi.org/10.22331/q-2017-09-06-27 We establish general limits on how precise a parameter, e.g. frequency or the strength of a magnetic field, can be estimated with the aid of full and fast quantum control. We consider uncorr… %B Quantum %V 1 %P 27 %8 sep %U https://quantum-journal.org/papers/q-2017-09-06-27/ %R 10.22331/q-2017-09-06-27 %0 Journal Article %J Physical Review A %D 2016 %T Compressed quantum metrology for the Ising Hamiltonian %A Boyajian, W. L. %A Skotiniotis, M. %A Dür, W. %A Kraus, B. %B Physical Review A %V 94 %8 Jan-12-2016 %U https://link.aps.org/doi/10.1103/PhysRevA.94.062326http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.94.062326/fulltexthttp://link.aps.org/article/10.1103/PhysRevA.94.062326 %! Phys. Rev. A %R 10.1103/PhysRevA.94.062326 %0 Journal Article %J New Journal of Physics %D 2016 %T Dynamical decoupling leads to improved scaling in noisy quantum metrology %A Pavel Sekatski %A Michalis Skotiniotis %A Wolfgang Dür %XWe consider the usage of dynamical decoupling in quantum metrology, where the joint evolution of system plus environment is described by a Hamiltonian. We show that by ultra-fast unitary control operations acting locally only on system qubits, noise can be eliminated while the desired evolution is only reduced by at most a constant factor, leading to Heisenberg scaling. We identify all kinds of noise where such an approach is applicable. Only noise that is generated by the Hamiltonian to be estimated itself cannot be altered. However, even for such parallel noise, one can achieve an improved scaling as compared to the standard quantum limit for any local noise by means of symmetrization. Our results are also applicable in other schemes based on dynamical decoupling, e.g. the generation of high-fidelity entangling gates.

%B New Journal of Physics %V 18 %P 073034 %8 jul %U https://doi.org/10.1088/1367-2630/18/7/073034 %R 10.1088/1367-2630/18/7/073034 %0 Journal Article %J IEEE Transactions on Information Theory %D 2016 %T No-Signalling-Assisted Zero-Error Capacity of Quantum Channels and an Information Theoretic Interpretation of the Lovász Number %A Duan, Runyao %A Winter, Andreas %B IEEE Transactions on Information Theory %V 62 %P 891-914 %8 2/2016 %N 2 %! IEEE Trans. Inform. Theory %R 10.1109/TIT.2015.2507979 %0 Journal Article %J Physical Review Letters %D 2016 %T Should Entanglement Measures be Monogamous or Faithful? %A Lancien, Cécilia %A Di Martino, Sara %A Huber, Marcus %A Piani, Marco %A Adesso, Gerardo %A Winter, Andreas %B Physical Review Letters %V 117 %8 8/2016 %N 6 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.117.060501 %0 Journal Article %J IEEE Transactions on Information Theory %D 2016 %T On Zero-Error Communication via Quantum Channels in the Presence of Noiseless Feedback %A Duan, Runyao %A Severini, Simone %A Winter, Andreas %K bipartite equivocation graph %K Bipartite graph %K Capacity planning %K Choi-Kraus operators %K coding theorem %K commutative bipartite graph %K Electronic mail %K encoding %K entanglement-assisted capacity %K feedback %K feedback-assisted capacity %K feedback-assisted zero-error capacity %K information theory %K noiseless feedback channel %K quantum channels %K quantum communication %K quantum entanglement %K Quantum information %K Receivers %K Shannon's zero-error communication %K telecommunication channels %K unlimited quantum capacity %K zero-error capacity %XWe initiate the study of zero-error communication via quantum channels when the receiver and the sender have at their disposal a noiseless feedback channel of unlimited quantum capacity, generalizing Shannon's zero-error communication theory with instantaneous feedback. We first show that this capacity is only a function of the linear span of Choi-Kraus operators of the channel, which generalizes the bipartite equivocation graph of a classical channel, and which we dub non-commutative bipartite graph. Then, we go on to show that the feedback-assisted capacity is non-zero (allowing for a constant amount of activating noiseless communication) if and only if the non-commutative bipartite graph is non-trivial, and give a number of equivalent characterizations. This result involves a far-reaching extension of the conclusive exclusion of quantum states. We then present an upper bound on the feedback-assisted zero-error capacity, motivated by a conjecture originally made by Shannon and proved later by Ahlswede. We demonstrate that this bound to have many good properties, including being additive and given by a minimax formula. We also prove a coding theorem showing that this quantity is the entanglement-assisted capacity against an adversarially chosen channel from the set of all channels with the same Choi-Kraus span, which can also be interpreted as the feedback-assisted unambiguous capacity. The proof relies on a generalization of the Postselection Lemma (de Finetti reduction) that allows to reflect additional constraints, and which we believe to be of independent interest. This capacity is a relaxation of the feedback-assisted zero-error capacity; however, we have to leave open the question of whether they coincide in general. We illustrate our ideas with a number of examples, including classical-quantum channels and Weyl diagonal channels, and close with an extensive discussion of open questions.

%B IEEE Transactions on Information Theory %V 62 %P 5260–5277 %8 09/2016 %R 10.1109/TIT.2016.2562580 %0 Journal Article %J Physical Review B %D 2014 %T Case study of the uniaxial anisotropic spin-1 bilinear-biquadratic Heisenberg model on a triangular lattice %A Moreno-Cardoner, M. %A Perrin, H. %A Paganelli, S. %A De Chiara, G. %A Sanpera, A. %X We study the spin-1 model on a triangular lattice in the presence of a uniaxial anisotropy field using a cluster mean-field (CMF) approach. The interplay among antiferromagnetic exchange, lattice geometry, and anisotropy forces Gutzwiller mean-field approaches to fail in a certain region of the phase diagram. There, the CMF method yields two supersolid phases compatible with those present in the spin−1/2 XXZ model onto which the spin-1 system maps. Between these two supersolid phases, the three-sublattice order is broken and the results of the CMF approach depend heavily on the geometry and size of the cluster. We discuss the possible presence of a spin liquid in this region. %B Physical Review B %V 90 %8 10/2014 %N 14 %! Phys. Rev. B %R 10.1103/PhysRevB.90.144409 %0 Conference Proceedings %B 2014 IEEE International Symposium on Information Theory (ISIT) %D 2014 %T Constant compositions in the sphere packing bound for classical-quantum channels %A Dalai, Marco %A Winter, Andreas %B 2014 IEEE International Symposium on Information Theory (ISIT) %I IEEE %C Honolulu, HI, USA %P 151-155 %8 07/2014 %R 10.1109/ISIT.2014.6874813 %0 Journal Article %J Journal of Statistical Mechanics: Theory and Experiment %D 2014 %T Entanglement properties of spin models in triangular lattices %A Moreno-Cardoner, M. %A Paganelli, S. %A De Chiara, G. %A Sanpera, A. %X The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement spectrum is linked to the symmetries that protect the different quantum phases. This relation extends even further at the phase transitions where a direct link associates the entanglement spectrum to the conformal field theory describing the former. For 2D systems much less is known. The lattice geometry becomes a crucial aspect to consider when studying entanglement and phase transitions. Here, we analyze the entanglement properties of triangular spin lattice models by also considering concepts borrowed from quantum information theory such as geometric entanglement. %B Journal of Statistical Mechanics: Theory and Experiment %V 2014 %P P10008 %8 10/2014 %N 10 %! J. Stat. Mech. %R 10.1088/1742-5468/2014/10/P10008 %0 Journal Article %J Physical Review A %D 2014 %T Long-range multipartite entanglement close to a first-order quantum phase transition %A Stasińska, J. %A Rogers, B. %A M. Paternostro %A De Chiara, G. %A Sanpera, A. %X We provide insight into the quantum correlations structure present in strongly correlated systems beyond the standard framework of bipartite entanglement. To this aim we first exploit rotationally invariant states as a test bed to detect genuine tripartite entanglement beyond the nearest neighbor in spin-1/2 models. Then we construct in a closed analytical form a family of entanglement witnesses which provides a sufficient condition to determine if a state of a many-body system formed by an arbitrary number of spin-1/2 particles possesses genuine tripartite entanglement, independently of the details of the model. We illustrate our method by analyzing in detail the anisotropic XXZ spin chain close to its phase transitions, where we demonstrate the presence of long-range multipartite entanglement near the critical point and the breaking of the symmetries associated with the quantum phase transition. %B Physical Review A %V 89 %8 3/2014 %N 3 %! Phys. Rev. A %R 10.1103/PhysRevA.89.032330 %0 Journal Article %J IEEE Transactions on Information Theory %D 2014 %T The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels %A Bennett, Charles H. %A Devetak, Igor %A Harrow, Aram W. %A Shor, Peter W. %A Winter, Andreas %B IEEE Transactions on Information Theory %V 60 %P 2926-2959 %8 5/2014 %N 5 %! IEEE Trans. Inform. Theory %R 10.1109/TIT.2014.2309968 %0 Journal Article %J Journal of Physics A: Mathematical and Theoretical %D 2013 %T Decomposition of any quantum measurement into extremals %A Sentís, G %A Gendra, B. %A Bartlett, S D %A Doherty, A C %B Journal of Physics A: Mathematical and Theoretical %V 46 %P 375302 %8 09/2013 %N 37 %! J. Phys. A: Math. Theor. %R 10.1088/1751-8113/46/37/375302 %0 Book Section %B Information Theory, Combinatorics, and Search Theory: In Memory of Rudolf Ahlswede %D 2013 %T Identification via Quantum Channels %A Winter, Andreas %E Aydinian, Harout %E Cicalese, Ferdinando %E Deppe, Christian %B Information Theory, Combinatorics, and Search Theory: In Memory of Rudolf Ahlswede %S Lecture Notes in Computer Science %I Springer Berlin Heidelberg %C Berlin, Heidelberg %V LNCS 7777 %P 217 - 233 %@ 978-3-642-36899-8 %R 10.1007/978-3-642-36899-8_9 %0 Journal Article %J IEEE Transactions on Information Theory %D 2013 %T Quantum Rate-Distortion Coding With Auxiliary Resources %A Wilde, Mark M. %A Datta, Nilanjana %A Hsieh, Min-Hsiu %A Winter, Andreas %B IEEE Transactions on Information Theory %V 59 %P 6755 - 6773 %8 10/2013 %N 10 %! IEEE Trans. Inform. Theory %R 10.1109/TIT.2013.2271772 %0 Journal Article %J Journal of Mathematical Physics %D 2013 %T Quantum-to-classical rate distortion coding %A Datta, Nilanjana %A Hsieh, Min-Hsiu %A Wilde, Mark M. %A Winter, Andreas %B Journal of Mathematical Physics %V 54 %P 042201 %8 2013 %N 4 %! J. Math. Phys. %R 10.1063/1.4798396 %0 Journal Article %J Physical Review B %D 2013 %T Scaling of the entanglement spectrum near quantum phase transitions %A Lepori, L. %A De Chiara, G. %A Sanpera, A. %B Physical Review B %V 87 %8 6/2013 %N 23 %! Phys. Rev. B %R 10.1103/PhysRevB.87.235107 %0 Journal Article %J IEEE Transactions on Information Theory %D 2013 %T Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number %A Duan, Runyao %A Severini, Simone %A Winter, Andreas %B IEEE Transactions on Information Theory %V 59 %P 1164 - 1174 %8 02/2013 %N 2 %! IEEE Trans. Inform. Theory %R 10.1109/TIT.2012.2221677 %0 Journal Article %J Physical Review Letters %D 2012 %T Entanglement Spectrum, Critical Exponents, and Order Parameters in Quantum Spin Chains %A De Chiara, G. %A Lepori, L. %A Lewenstein, M. %A Sanpera, A. %X We investigate the entanglement spectrum near criticality in finite quantum spin chains. Using finite size scaling we show that when approaching a quantum phase transition, the Schmidt gap, i.e., the difference between the two largest eigenvalues of the reduced density matrix λ1, λ2, signals the critical point and scales with universal critical exponents related to the relevant operators of the corresponding perturbed conformal field theory describing the critical point. Such scaling behavior allows us to identify explicitly the Schmidt gap as a local order parameter. %B Physical Review Letters %V 109 %8 12/2012 %N 23 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.109.237208 %0 Journal Article %J Physical Review B %D 2011 %T Bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect %A De Chiara, G. %A Lewenstein, M. %A Sanpera, A. %X The Heisenberg model for spin-1 bosons in one dimension presents many different quantum phases, including the famous topological Haldane phase. Here we study the robustness of such phases in front of a SU(2) symmetry-breaking field as well as the emergence of unique phases. Previous studies have analyzed the effect of such uniaxial anisotropy in some restricted relevant points of the phase diagram. Here we extend those studies and present the complete phase diagram of the spin-1 chain with uniaxial anisotropy. To this aim, we employ the density-matrix renormalization group together with analytical approaches. The complete phase diagram can be realized using ultracold spinor gases in the Mott insulator regime under a quadratic Zeeman effect. %B Physical Review B %V 84 %8 8/2011 %U http://prb.aps.org/abstract/PRB/v84/i5/e054451 %N 5 %! Phys. Rev. B %R 10.1103/PhysRevB.84.054451 %0 Journal Article %J Phys. Rev. A %D 2011 %T Entanglement detection in hybrid optomechanical systems %A De Chiara, Gabriele %A Paternostro, Mauro %A Palma, G. Massimo %X We study a device formed by a Bose Einstein condensate (BEC) coupled to the field of a cavity with a moving end-mirror and find a working point such that the mirror-light entanglement is reproduced by the BEC-light quantum correlations. This provides an experimentally viable tool for inferring mirror-light entanglement with only a limited set of assumptions. We prove the existence of tripartite entanglement in the hybrid device, persisting up to temperatures of a few milli-Kelvin, and discuss a scheme to detect it. %B Phys. Rev. A %V 83 %P 052324 %U http://link.aps.org/doi/10.1103/PhysRevA.83.052324 %R 10.1103/PhysRevA.83.052324 %0 Journal Article %J EPL (Europhysics Letters) %D 2011 %T Entangling two distant oscillators with a quantum reservoir %A Wolf, A %A De Chiara, G. %A Kajari, E %A Lutz, E %A G. Morigi %X The generation of entanglement between two oscillators that interact via a common reservoir is theoretically studied. The reservoir is modeled by a one-dimensional harmonic crystal initially in thermal equilibrium. Starting from a separable state, the oscillators can become entangled after a transient time, that is of the order of the thermalization time scale. This behaviour is observed at finite temperature even when the oscillators are at a distance significantly larger than the crystal's interparticle spacing. The underlying physical mechanisms can be explained by the dynamical properties of the collective variables of the two oscillators which may decouple from or be squeezed by the reservoir. Our predictions can be tested with an ion chain in a linear Paul trap. %B EPL (Europhysics Letters) %V 95 %P 60008 %8 09/2011 %U http://epljournal.edpsciences.org/index.php?option=com_article&access=standard&Itemid=129&url=/articles/epl/abs/2011/18/epl13816/epl13816.html %N 6 %! EPL %R 10.1209/0295-5075/95/60008 %0 Journal Article %J Phys. Rev. A %D 2011 %T Probing magnetic order in ultracold lattice gases %A De Chiara, Gabriele %A O. Romero-Isart %A Sanpera, A. %X A forthcoming challenge in ultracold lattice gases is the simulation of quantum magnetism. That involves both the preparation of the lattice atomic gas in the desired spin state and the probing of the state. Here we demonstrate how a probing scheme based on atom-light interfaces gives access to the order parameters of nontrivial quantum magnetic phases, allowing us to characterize univocally strongly correlated magnetic systems produced in ultracold gases. This method, which is also nondemolishing, yields spatially resolved spin correlations and can be applied to bosons or fermions. As a proof of principle, we apply this method to detect the complete phase diagram displayed by a chain of (rotationally invariant) spin-1 bosons. %B Phys. Rev. A %V 83 %P 021604 %U http://pra.aps.org/abstract/PRA/v83/i2/e021604 %R 10.1103/PhysRevA.83.021604 %0 Journal Article %J Physical Review A %D 2011 %T Quantifying, characterizing, and controlling information flow in ultracold atomic gases %A Haikka, P. %A McEndoo, S. %A De Chiara, G. %A G. M. Palma %A Maniscalco, S. %X We study quantum information flow in a model comprised of a trapped impurity qubit immersed in a Bose-Einstein-condensed reservoir. We demonstrate how information flux between the qubit and the condensate can be manipulated by engineering the ultracold reservoir within experimentally realistic limits. We show that this system undergoes a transition from Markovian to non-Markovian dynamics, which can be controlled by changing key parameters such as the condensate scattering length. In this way, one can realize a quantum simulator of both Markovian and non-Markovian open quantum systems, the latter ones being characterized by a reverse flow of information from the background gas (reservoir) to the impurity (system). %B Physical Review A %V 84 %8 9/2011 %U http://pra.aps.org/abstract/PRA/v84/i3/e031602 %N 3 %! Phys. Rev. A %R 10.1103/PhysRevA.84.031602 %0 Journal Article %J Phys. Rev. Lett. %D 2010 %T Cold-atom induced control of an opto-mechanical device %A M. Paternostro %A De Chiara, Gabriele %A G. M. Palma %X We consider a cavity with a vibrating end mirror and coupled to a Bose-Einstein condensate. The cavity field mediates the interplay between mirror and collective oscillations of the atomic density. We study the implications of this dynamics and the possibility of an indirect diagnostic. Our predictions can be observed in a realistic setup that is central to the current quest for mesoscopic quantumness. %B Phys. Rev. Lett. %V 104 %P 243602 %8 06/2010 %U http://link.aps.org/doi/10.1103/PhysRevLett.104.243602 %R 10.1103/PhysRevLett.104.243602 %0 Journal Article %J Phys. Rev. A %D 2010 %T The quantum ground state of self-organized atomic crystals in optical resonators %A S. Fernández-Vidal %A De Chiara, Gabriele %A J. Larson %A G. Morigi %X Cold atoms, driven by a laser and simultaneously coupled to the quantum field of an optical resonator, may self-organize in periodic structures. These structures are supported by the optical lattice, which emerges from the laser light they scatter into the cavity mode and form when the laser intensity exceeds a threshold value. We study theoretically the quantum ground state of these structures above the pump threshold of self-organization by mapping the atomic dynamics of the self-organized crystal to a Bose-Hubbard model. We find that the quantum ground state of the self-organized structure can be the one of a Mott insulator, depending on the pump strength of the driving laser. For very large pump strengths, where the intracavity-field intensity is maximum and one would expect a Mott-insulator state, we find intervals of parameters where the phase is compressible. These states could be realized in existing experimental setups. %B Phys. Rev. A %V 81 %P 043407 %8 04/2010 %U http://link.aps.org/doi/10.1103/PhysRevA.81.043407 %R 10.1103/PhysRevA.81.043407 %0 Journal Article %J New. J. Phys. %D 2010 %T Spontaneous nucleation of structural defects in inhomogeneous ion chains %A De Chiara, Gabriele %A del Campo, Adolfo %A G. Morigi %A M. B. Plenio %A A. Retzker %X Structural defects in ion crystals can be formed during a linear quench of the transverse trapping frequency across the mechanical instability from a linear chain to the zigzag structure. The density of defects after the sweep can be conveniently described by the Kibble-Zurek mechanism. In particular, the number of kinks in the zigzag ordering can be derived from a time-dependent Ginzburg-Landau equation for the order parameter, here the zigzag transverse size, under the assumption that the ions are continuously laser cooled. In a linear Paul trap the transition becomes inhomogeneous, being the charge density larger in the center and more rarefied at the edges. During the linear quench the mechanical instability is first crossed in the center of the chain, and a front, at which the mechanical instability is crossed during the quench, is identified which propagates along the chain from the center to the edges. If the velocity of this front is smaller than the sound velocity, the dynamics becomes adiabatic even in the thermodynamic limit and no defect is produced. Otherwise, the nucleation of kinks is reduced with respect to the case in which the charges are homogeneously distributed, leading to a new scaling of the density of kinks with the quenching rate. The analytical predictions are verified numerically by integrating the Langevin equations of motion of the ions, in presence of a time-dependent transverse confinement. We argue that the non-equilibrium dynamics of an ion chain in a Paul trap constitutes an ideal scenario to test the inhomogeneous extension of the Kibble-Zurek mechanism, which lacks experimental evidence to date. %B New. J. Phys. %V 12 %P 115003 %8 12/2010 %U http://iopscience.iop.org/1367-2630/12/11/115003?fromSearchPage=true %R 10.1088/1367-2630/12/11/115003 %0 Journal Article %J Phys. Rev. Lett. %D 2010 %T Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism %A del Campo, Adolfo %A De Chiara, Gabriele %A G. Morigi %A M. B. Plenio %A A. Retzker %B Phys. Rev. Lett. %V 105 %P 075701 %8 08/2010 %U http://link.aps.org/doi/10.1103/PhysRevLett.105.075701 %R 10.1103/PhysRevLett.105.075701 %0 Journal Article %J Physical Review Letters %D 2008 %T Frustration, Area Law, and Interference in Quantum Spin Models %A Sen(De), Aditi %A Sen, Ujjwal %A Dziarmaga, Jacek %A Sanpera, Anna %A Lewenstein, Maciej %B Physical Review Letters %V 101 %P 187202–4 %8 10/2008 %G eng %U http://link.aps.org/abstract/PRL/v101/e187202 %R 10.1103/PhysRevLett.101.187202 %0 Journal Article %J Physical Review A (Atomic, Molecular, and Optical Physics) %D 2008 %T Quantum-limited metrology with product states %A Boixo, Sergio %A Datta, Animesh %A Flammia, Steven T. %A Shaji, Anil %A Bagan, Emili %A Caves, Carlton M. %K angular momentum theory %K Bose-Einstein condensation %K bound states %K protocols %K quantum entanglement %B Physical Review A (Atomic, Molecular, and Optical Physics) %V 77 %P 012317–15 %8 01/2008 %G eng %U http://link.aps.org/abstract/PRA/v77/e012317 %R 10.1103/PhysRevA.77.012317 %0 Journal Article %J New Journal of Physics %D 2007 %T How to hide a secret direction %A Bagan, Emili %A John Calsamiglia %A Demkowicz-Dobrzanski, R. %A Muñoz-Tapia, Ramon %X We present a procedure to share a secret spatial direction in the absence of a common reference frame using a multipartite quantum state. The procedure guarantees that the parties can determine the direction if they perform joint measurements on the state, but fail to do so if they restrict themselves to local operations and classical communication (LOCC). We calculate the fidelity for joint measurements, give bounds on the fidelity achievable by LOCC, and prove that there is a non-vanishing gap between the two of them, even in the limit of infinitely many copies. The robustness of the procedure under particle loss is also studied. As a by-product we find bounds on the probability of discriminating by LOCC between the invariant subspaces of total angular momentum N/2 and N/2-1 in a system of N elementary spins. %B New Journal of Physics %V 9 %P 244 %G eng %U http://iopscience.iop.org/1367-2630/9/8/244/pdf/1367-2630\_9\_8\_244.pdf %R doi:10.1088/1367-2630/9/8/244 %0 Journal Article %J Advances in Physics %D 2007 %T Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond %A Lewenstein, Maciej %A Sanpera, Anna %A Ahufinger, Veronica %A Damski, B. %A Sen(De), Aditi %A Sen, Ujjwal %K optical lattices %B Advances in Physics %V 56 %P 243 %G eng %U http://www.informaworld.com/smpp/ftinterface\~content=a778175433\~fulltext=713240930 %0 Journal Article %J Journal of Physics B: Atomic, Molecular and Optical Physics %D 2007 %T Weighted graph states and applications to spin chains, lattices and gases %A Hartmann, L. %A John Calsamiglia %A Dür, Wolfgang %A Briegel, Hans J. %B Journal of Physics B: Atomic, Molecular and Optical Physics %V 40 %P S1 %G eng %U http://www.iop.org/EJ/abstract/0953-4075/40/9/S01 %R 10.1088/0953-4075/40/9/S01 %0 Journal Article %J Physical Review Letters %D 2005 %T Spin Gases: Quantum Entanglement Driven by Classical Kinematics %A John Calsamiglia %A Hartmann, L. %A Dür, Wolfgang %A Briegel, Hans J. %K entanglement distribution %K spin gas %X A spin gas is a natural extension of a classical gas. It consists of a large number of particles whose (random) motion is described classically, but, in addition, have internal (quantum mechanical) degrees of freedom that interact during collisions. For specific types of quantum interactions we determine the entanglement that occurs naturally in such systems. We analyze how the evolution of the quantum state is determined by the underlying classical kinematics of the gas. For the Boltzmann gas, we calculate the rate at which entanglement is produced and characterize the entanglement properties of the equilibrium state. %B Physical Review Letters %V 95 %P 180502 %8 10/2005 %G eng %U http://link.aps.org/abstract/PRL/v95/e180502 %R 10.1103/PhysRevLett.95.180502 %0 Journal Article %J Physical Review Letters %D 2004 %T Coherence Properties of Guided-Atom Interferometers %A Kreutzmann, H. %A Poulsen, U. %A Lewenstein, M. %A Dumke, R. %A Ertmer, W. %A Birkl, G. %A Sanpera, A. %B Physical Review Letters %V 92 %G eng %U http://prl.aps.org/abstract/PRL/v92/i16/e163201 %R 10.1103/PhysRevLett.92.163201 %0 Book Section %B Fundamental Physics Meeting "Alberto Galindo" %D 2004 %T Popper's test of Quantum Mechanics %A Bramon, Albert %A Escribano, Rafel %E Alvarez-Estrada, R. F. %E Dobado, A. %E Fernandez, L. A. %E Mart\'ın-Delgado, M. A. %E {Munoz Sudupe}, A. %B Fundamental Physics Meeting "Alberto Galindo" %I Aula Documental de Investigacion %C Madrid %P 201–207 %G eng %U http://arxiv.org/abs/quant-ph/0501134