Time remains one of the least well-understood concepts in physics, most notably in quantum mechanics. A central goal is to find the fundamental limits of measuring time. One of the main obstacles is the fact that time is not an observable and thus has to be measured indirectly. Here, we explore these questions by introducing a model of time measurements that is complete and autonomous. Specifically, our autonomous quantum clock consists of a system out of thermal equilibrium—a prerequisite for any system to function as a clock—powered by minimal resources, namely, two thermal baths at different temperatures. Through a detailed analysis of this specific clock model, we find that the laws of thermodynamics dictate a trade-off between the amount of dissipated heat and the clock’s performance in terms of its accuracy and resolution. Our results furthermore imply that a fundamental entropy production is associated with the operation of any autonomous quantum clock, assuming that quantum machines cannot achieve perfect efficiency at finite power. More generally, autonomous clocks provide a natural framework for the exploration of fundamental questions about time in quantum theory and beyond.

%B Physical Review X %V 7 %P 031022 %U https://link.aps.org/doi/10.1103/PhysRevX.7.031022 %R 10.1103/PhysRevX.7.031022 %0 Journal Article %J JOURNAL OF MATHEMATICAL PHYSICS %D 2017 %T Genuine-multipartite entanglement criteria based on positive maps %A Clivaz, Fabien %A Huber, Marcus %A Lami, Ludovico %A Murta, Glaucia %X Positive maps applied to a subsystem of a bipartite quantum state constitute a central tool in characterising entanglement. In the multipartite case, however, the direct application of a positive but not completely positive map cannot distinguish if a state is genuinely multipartite entangled or just entangled across some bipartition. We thus generalise this bipartite concept to the multipartite setting by introducing non-positive maps that are positive on the subset of biseparable states but can map to a non-positive element if applied to a genuine multipartite entangled state. We explicitly construct examples of multipartite non-positive maps, obtained from positive maps via a lifting procedure, that in this fashion can reveal genuine multipartite entanglement in a robust way. Published by AIP Publishing. %B JOURNAL OF MATHEMATICAL PHYSICS %V 58 %8 aug %R 10.1063/1.4998433 %0 Journal Article %J PHYSICAL REVIEW LETTERS %D 2017 %T No-Go Theorem for the Characterization of Work Fluctuations in Coherent Quantum Systems %A Perarnau-Llobet, Marti %A Baumer, Elisa %A Hovhannisyan, Karen V. %A Huber, Marcus %A Acín, Antonio %XAn open question of fundamental importance in thermodynamics is howto describe the fluctuations of work for quantum coherent processes. In the standard approach, based on a projective energy measurement both at the beginning and at the end of the process, the first measurement destroys any initial coherence in the energy basis. Here we seek extensions of this approach which can possibly account for initially coherent states. We consider all measurement schemes to estimate work and require that (i) the difference of average energy corresponds to average work for closed quantum systems and that (ii) the work statistics agree with the standard two-measurement scheme for states with no coherence in the energy basis. We first show that such a scheme cannot exist. Next, we consider the possibility of performing collective measurements on several copies of the state and prove that it is still impossible to simultaneously satisfy requirements (i) and (ii). Nevertheless, improvements do appear, and in particular, we develop a measurement scheme that acts simultaneously on two copies of the state and allows us to describe a whole class of coherent transformations.

%B PHYSICAL REVIEW LETTERS %V 118 %R 10.1103/PhysRevLett.118.070601 %0 Journal Article %J Quantum %D 2017 %T Quantifying high dimensional entanglement with two mutually unbiased bases %A Erker, Paul %A Krenn, Mario %A Huber, Marcus %X Paul Erker, Mario Krenn, and Marcus Huber, Quantum 1, 22 (2017). https://doi.org/10.22331/q-2017-07-28-22 We derive a framework for quantifying entanglement in multipartite and high dimensional systems using only correlations in two unbiased bases. We furthermore develop such bounds in cases whe… %B Quantum %V 1 %P 22 %U https://quantum-journal.org/papers/q-2017-07-28-22/ %R 10.22331/q-2017-07-28-22 %0 Journal Article %J Physical Review B %D 2016 %T Autonomous {Quantum} {Refrigerator} in a {Circuit}-{QED} {Architecture} {Based} on a {Josephson} {Junction} %A Hofer, Patrick P. %A Perarnau-Llobet, Marti %A Brask, Jonatan Bohr %A Silva, Ralph %A Huber, Marcus %A Brunner, Nicolas %K Condensed Matter - Mesoscale and Nanoscale Physics %K Quantum Physics %X An implementation of a small quantum absorption refrigerator in a circuit QED architecture is proposed. The setup consists of three harmonic oscillators coupled to a Josephson unction. The refrigerator is autonomous in the sense that it does not require any external control for cooling, but only thermal contact between the oscillators and heat baths at different temperatures. In addition, the setup features a built-in switch, which allows the cooling to be turned on and off. If timing control is available, this enables the possibility for coherence-enhanced cooling. Finally, we show that significant cooling can be achieved with experimentally realistic parameters and that our setup should be within reach of current technology. %B Physical Review B %V 94 %U http://arxiv.org/abs/1607.05218 %R 10.1103/PhysRevB.94.235420 %0 Journal Article %J Journal of Mathematical Physics %D 2016 %T Bipartite depolarizing maps %A Lami, Ludovico %A Huber, Marcus %X We introduce a 3-parameter class of maps (1) acting on a bipartite system which are a natural generalisation of the depolarizing channel (and include it as a special case). Then, we find the exact regions of the parameter space that alternatively determine a positive, completely positive, entanglement-breaking, or entanglement-annihilating map. This model displays a much richer behaviour than the one shown by a simple depolarizing channel, yet it stays exactly solvable. As an example of this richness, positive partial transposition but not entanglement-breaking maps is found in Theorem 2. A simple example of a positive yet indecomposable map is provided (see the Remark at the end of Section IV). The study of the entanglement-annihilating property is fully addressed by Theorem 7. Finally, we apply our results to solve the problem of the entanglement annihilation caused in a bipartite system by a tensor product of local depolarizing channels. In this context, a conjecture posed in the work of Filippov [J. Russ. Laser Res. 35, 484 (2014)] is affirmatively answered, and the gaps that the imperfect bounds of Filippov and Ziman [Phys. Rev. A 88, 032316 (2013)] left open are closed. To arrive at this result, we furthermore show how the Hadamard product between quantum states can be implemented via local operations. %B Journal of Mathematical Physics %V 57 %P 092201 %U http://aip.scitation.org/doi/10.1063/1.4962339 %R 10.1063/1.4962339 %0 Journal Article %J Physical Review A %D 2016 %T Heisenberg-{Weyl} {Observables}: {Bloch} vectors in phase space %A Asadian, Ali %A Erker, Paul %A Huber, Marcus %A Klockl, Claude %X We introduce a Hermitian generalization of Pauli matrices to higher dimensions which is based on Heisenberg-Weyl operators. The complete set of Heisenberg-Weyl observables allows us to identify a real-valued Bloch vector for an arbitrary density operator in discrete phase space, with a smooth transition to infinite dimensions. Furthermore, we derive bounds on the sum of expectation values of any set of anticommuting observables. Such bounds can be used in entanglement detection and we show that Heisenberg-Weyl observables provide a first nontrivial example beyond the dichotomic case. %B Physical Review A %V 94 %P 010301 %8 jul %U https://link.aps.org/doi/10.1103/PhysRevA.94.010301 %R 10.1103/PhysRevA.94.010301 %0 Journal Article %J Nature Photonics %D 2016 %T Multi-photon entanglement in high dimensions %A Malik, Mehul %A Erhard, Manuel %A Huber, Marcus %A Krenn, Mario %A Robert Fickler %A Anton Zeilinger %B Nature Photonics %I Nature Publishing Group %V 10 %P 248 - 252 %8 04/2016 %@ 1749-4885 %G eng %U http://dx.doi.org/10.1038/nphoton.2016.12 %N 4 %0 Journal Article %J Physical Review Letters %D 2016 %T Quantifying {Entanglement} of {Maximal} {Dimension} in {Bipartite} {Mixed} {States} %A Sentís, Gael %A Eltschka, Christopher %A Gühne, Otfried %A Huber, Marcus %A Siewert, Jens %X The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is important both from a theoretical and a practical point of view, it is considerably more difficult, and methods beyond estimates for the concurrence are elusive. In particular this holds for a quantitative assessment of the most valuable resource, the forms of entanglement that can only exist in high-dimensional systems. We derive a framework for lower bounding the appropriate measure of entanglement, the so-called G-concurrence, through few local measurements. Moreover, we show that these bounds have relevant applications also for multipartite states. %B Physical Review Letters %V 117 %P 190502 %U https://link.aps.org/doi/10.1103/PhysRevLett.117.190502 %R 10.1103/PhysRevLett.117.190502 %0 Journal Article %J Quantum Science and Technology %D 2016 %T Realising a quantum absorption refrigerator with an atom-cavity system %A Mitchison, Mark T. %A Huber, Marcus %A Prior, Javier %A Woods, Mischa P. %A Plenio, Martin B. %X An autonomous quantum thermal machine comprising a trapped atom or ion placed inside an optical cavity is proposed and analysed. Such a machine can operate as a heat engine whose working medium is the quantised atomic motion or as an absorption refrigerator that cools without any work input. Focusing on the refrigerator mode, we predict that it is possible with state-of-the-art technology to cool a trapped ion almost to its motional ground state using a thermal light source such as sunlight. We nonetheless find that a laser or a similar reference system is necessary to stabilise the cavity frequencies. Furthermore, we establish a direct and heretofore unacknowledged connection between the abstract theory of quantum absorption refrigerators and practical sideband cooling techniques. We also highlight and clarify some assumptions underlying several recent theoretical studies on self-contained quantum engines and refrigerators. Our work indicates that cavity quantum electrodynamics is a promising and versatile experimental platform for the study of autonomous thermal machines in the quantum domain. %B Quantum Science and Technology %V 1 %P 015001 %U http://stacks.iop.org/2058-9565/1/i=1/a=015001 %R 10.1088/2058-9565/1/1/015001 %0 Journal Article %J Journal of Physics A: Mathematical and Theoretical %D 2016 %T The role of quantum information in thermodynamics—a topical review %A Goold, John %A Huber, Marcus %A Riera, Arnau %A Rio, Lídia del %A Paul Skrzypczyk %B Journal of Physics A: Mathematical and Theoretical %V 49 %P 143001 %G eng %U http://stacks.iop.org/1751-8121/49/i=14/a=143001?key=crossref.ce80cac2171964cc6d6c51ed12d1e014 %R 10.1088/1751-8113/49/14/143001 %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 Physical Review Letters %D 2016 %T Steering Maps and Their Application to Dimension-Bounded Steering %A Moroder, Tobias %A Gittsovich, Oleg %A Huber, Marcus %A Uola, Roope %A Gühne, Otfried %B Physical Review Letters %V 116 %G eng %U http://link.aps.org/doi/10.1103/PhysRevLett.116.090403 %R 10.1103/PhysRevLett.116.090403 %0 Journal Article %J New Journal of Physics %D 2016 %T Witnessing entanglement by proxy %A Bäuml, Stefan %A Bruß, Dagmar %A Huber, Marcus %A Kampermann, Hermann %A Winter, Andreas %B New Journal of Physics %V 18 %P 015002 %8 01/2016 %N 1 %! New J. Phys. %R 10.1088/1367-2630/18/1/015002 %0 Journal Article %J New Journal of Physics %D 2015 %T Autonomous quantum thermal machine for generating steady-state entanglement %A Bohr Brask, Jonatan %A Haack, Géraldine %A Nicolas Brunner %A Huber, Marcus %B New Journal of Physics %V 17 %P 113029 %8 nov %G eng %U http://stacks.iop.org/1367-2630/17/i=11/a=113029?key=crossref.0c6a75cb628f113c6cbd2a7b0d092f0d %R 10.1088/1367-2630/17/11/113029 %0 Journal Article %J New Journal of Physics %D 2015 %T Coherence-assisted single-shot cooling by quantum absorption refrigerators %A Mitchison, Mark T %A Woods, Mischa P %A Prior, Javier %A Huber, Marcus %B New Journal of Physics %V 17 %P 115013 %G eng %U http://stacks.iop.org/1367-2630/17/i=11/a=115013?key=crossref.3c2d7f1bc5de4bbea1cba38fd2236293 %R 10.1088/1367-2630/17/11/115013 %0 Journal Article %J Optica %D 2015 %T Experimental access to higher-dimensional entangled quantum systems using integrated optics %A Christoph Schaeff %A Robert Polster %A Huber, Marcus %A Ramelow, Sven %A Anton Zeilinger %K Integrated optics %K quantum optics %X Integrated optics allows for the generation and control of increasingly complex photonic states on chip-based architectures. Here, we implement two entangled qutrits&\#x2014;a nine-dimensional quantum system&\#x2014;and demonstrate an exceptionally high degree of experimental control. The approach, which is conceptually different to common bulk optical implementations, is heavily based on methods of integrated in-fiber and on-chip technologies and further motivated by methods commonly used in today&\#x2019;s telecommunications industry. The system is composed of an in-fiber source creating entangled qutrit states of any amplitude and phase, and an on-chip integrated general Multiport enabling the realization of any desired local unitary transformation within the two qutrit nine-dimensional Hilbert space. The complete design is readily extendible toward higher dimensions with moderate increase in complexity. Ultimately, our scheme allows for complete on-chip integration. We demonstrate the flexibility and generality of our system by realizing a complete characterization of the two-qutrit space of higher-order Einstein&\#x2013;Podolsky&\#x2013;Rosen correlations. %B Optica %I OSA %V 2 %P 523–529 %8 Jun %G eng %U http://www.osapublishing.org/optica/abstract.cfm?URI=optica-2-6-523 %R 10.1364/OPTICA.2.000523 %0 Journal Article %J Physical Review X %D 2015 %T Extractable Work from Correlations %A Martí Perarnau-Llobet %A Karen V. Hovhannisyan %A Huber, Marcus %A Paul Skrzypczyk %A Nicolas Brunner %A Acín, Antonio %B Physical Review X %V 5 %8 oct %G eng %U http://link.aps.org/doi/10.1103/PhysRevX.5.041011 %R 10.1103/PhysRevX.5.041011 %0 Journal Article %J Physical Review E %D 2015 %T Most energetic passive states %A Martí Perarnau-Llobet %A Karen V. Hovhannisyan %A Huber, Marcus %A Paul Skrzypczyk %A Tura, Jordi %A Acín, Antonio %B Physical Review E %V 92 %G eng %U http://link.aps.org/doi/10.1103/PhysRevE.92.042147 %R 10.1103/PhysRevE.92.042147 %0 Journal Article %J Journal of Physics A: Mathematical and Theoretical %D 2015 %T Relaxations of separability in multipartite systems: Semidefinite programs, witnesses and volumes %A Lancien, Cécilia %A Gühne, Otfried %A Sengupta, Ritabrata %A Huber, Marcus %B Journal of Physics A: Mathematical and Theoretical %V 48 %P 505302 %G eng %U http://stacks.iop.org/1751-8121/48/i=50/a=505302?key=crossref.2e93a28de5494676a0b866fa95ccebfd %R 10.1088/1751-8113/48/50/505302 %0 Journal Article %J New Journal of Physics %D 2015 %T Thermodynamic cost of creating correlations %A Huber, Marcus %A Martí Perarnau-Llobet %A Karen V. Hovhannisyan %A Paul Skrzypczyk %A Klöckl, Claude %A Nicolas Brunner %A Acín, Antonio %B New Journal of Physics %V 17 %P 065008 %G eng %U http://stacks.iop.org/1367-2630/17/i=6/a=065008?key=crossref.b9c20f4bb628b09efcb912347c01851e %R 10.1088/1367-2630/17/6/065008 %0 Journal Article %J Physical Review E %D 2015 %T Thermodynamics of creating correlations: {Limitations} and optimal protocols %A Bruschi, David Edward %A Martí Perarnau-Llobet %A Friis, Nicolai %A Karen V. Hovhannisyan %A Huber, Marcus %B Physical Review E %V 91 %8 mar %G eng %U http://link.aps.org/doi/10.1103/PhysRevE.91.032118 %R 10.1103/PhysRevE.91.032118 %0 Journal Article %J Physical Review E %D 2014 %T Entanglement enhances cooling in microscopic quantum refrigerators %A Nicolas Brunner %A Huber, Marcus %A Noah Linden %A Sandu Popescu %A Ralph Silva %A Paul Skrzypczyk %X Small self-contained quantum thermal machines function without external source of work or control, but using only incoherent interactions with thermal baths. Here we investigate the role of entanglement in a small self-contained quantum refrigerator. We first show that entanglement is detrimental as far as efficiency is concerned---fridges operating at efficiencies close to the Carnot limit do not feature any entanglement. Moving away from the Carnot regime, we show that entanglement can enhance cooling and energy transport. Hence a truly quantum refrigerator can outperform a classical one. Furthermore, the amount of entanglement alone quantifies the enhancement in cooling. %B Physical Review E %V 89 %8 3/2014 %N 3 %! Phys. Rev. E %R 10.1103/PhysRevE.89.032115 %0 Journal Article %J Journal of Physics A: Mathematical and Theoretical %D 2014 %T Fifty years of Bell’s theorem %A Nicolas Brunner %A Gühne, Otfried %A Huber, Marcus %B Journal of Physics A: Mathematical and Theoretical %V 47 %P 420301 %8 oct %G eng %U http://stacks.iop.org/1751-8121/47/i=42/a=420301?key=crossref.9d548f14fc7338685392dcd6228de98d %R 10.1088/1751-8113/47/42/420301 %0 Journal Article %J Linear Algebra and its Applications %D 2014 %T Inequalities for the ranks of multipartite quantum states %A Josh Cadney %A Huber, Marcus %A Noah Linden %A Winter, Andreas %X We investigate relations between the ranks of marginals of multipartite quantum states. These are the Schmidt ranks across all possible bipartitions and constitute a natural quantification of multipartite entanglement dimensionality. We show that there exist inequalities constraining the possible distribution of ranks. This is analogous to the case of von Neumann entropy (\alpha-R\'enyi entropy for \alpha=1), where nontrivial inequalities constraining the distribution of entropies (such as e.g. strong subadditivity) are known. It was also recently discovered that all other \alpha-R\'enyi entropies for α∈(0,1)∪(1,∞) satisfy only one trivial linear inequality (non-negativity) and the distribution of entropies for α∈(0,1) is completely unconstrained beyond non-negativity. Our result resolves an important open question by showing that also the case of \alpha=0 (logarithm of the rank) is restricted by nontrivial linear relations and thus the cases of von Neumann entropy (i.e., \alpha=1) and 0-R\'enyi entropy are exceptionally interesting measures of entanglement in the multipartite setting. %B Linear Algebra and its Applications %V 452 %P 153 - 171 %8 07/2014 %! Linear Algebra and its Applications %R 10.1016/j.laa.2014.03.035 %0 Journal Article %J Nature Communications %D 2014 %T Interface between path and orbital angular momentum entanglement for high-dimensional photonic quantum information %A Robert Fickler %A Radek Lapkiewicz %A Huber, Marcus %A Lavery, Martin P.J. %A Padgett, Miles J. %A Anton Zeilinger %X Photonics has become a mature field of quantum information science, where integrated optical circuits offer a way to scale the complexity of the setup as well as the dimensionality of the quantum state. On photonic chips, paths are the natural way to encode information. To distribute those high-dimensional quantum states over large distances, transverse spatial modes, like orbital angular momentum (OAM) possessing Laguerre Gauss modes, are favourable as flying information carriers. Here we demonstrate a quantum interface between these two vibrant photonic fields. We create three-dimensional path entanglement between two photons in a non-linear crystal and use a mode sorter as the quantum interface to transfer the entanglement to the OAM degree of freedom. Thus our results show a novel, flexible way to create high-dimensional spatial mode entanglement. Moreover, they pave the way to implement broad complex quantum networks where high-dimensionally entangled states could be distributed over distant photonic chips. %B Nature Communications %V 5 %8 7/2014 %! Nat Comms %R 10.1038/ncomms5502 %0 Journal Article %J Physical Review Letters %D 2014 %T Steering Bound Entangled States: A Counterexample to the Stronger Peres Conjecture %A Moroder, Tobias %A Gittsovich, Oleg %A Huber, Marcus %A Gühne, Otfried %X Quantum correlations are at the heart of many applications in quantum information science and, at the same time, they form the basis for discussions about genuine quantum effects and their difference to classical physics. On one hand, entanglement theory provides the tools to quantify correlations in information processing and many results have been obtained to discriminate useful entanglement, which can be distilled to a pure form, from bound entanglement, being of limited use in many applications. On the other hand, for discriminating quantum phenomena from their classical counterparts, Schr\"odinger and Bell introduced the notions of steering and local hidden variable models. We provide a method to generate systematically bound entangled quantum states which can still be used for steering and therefore to rule out local hidden state models. This sheds light on the relations between the various views on quantum correlations and disproves a widespread conjecture known as the stronger Peres conjecture. For practical applications, it implies that even the weakest form of entanglement can be certified in a semi-device independent way. %B Physical Review Letters %V 113 %8 8/2014 %N 5 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.113.050404 %0 Journal Article %J Physical Review A %D 2014 %T Unified approach to entanglement criteria using the Cauchy-Schwarz and Hölder inequalities %A Wölk, Sabine %A Huber, Marcus %A Gühne, Otfried %X We present a unified approach to different recent entanglement criteria. Although they were developed in different ways, we show that they are all applications of a more general principle given by the Cauchy-Schwarz inequality. We explain this general principle and show how to use it to derive not only already known entanglement criteria, but also criteria which were unknown so far. We systematically investigate its potential and limitations to detect bipartite and multipartite entanglement. Furthermore, we describe how to apply our generalized entanglement detection scheme to find the measurement directions to verify the entanglement of a given state experimentally. %B Physical Review A %V 90 %8 8/2014 %N 2 %! Phys. Rev. A %R 10.1103/PhysRevA.90.022315 %0 Journal Article %J Physical Review Letters %D 2014 %T Witnessing Genuine Multipartite Entanglement with Positive Maps %A Huber, Marcus %A Sengupta, Ritabrata %X We derive a general framework that connects every positive map with a corresponding witness for partial separability in multipartite quantum systems. We show that many previous approaches were intimately connected to the witnesses derived from partial transposition and that such criteria can easily be outperformed in higher dimensions by non-decomposable maps. As an exemplary case we present a witness that is capable of detecting genuine multipartite entanglement in bound entangled states. %B Physical Review Letters %V 113 %8 9/2014 %N 10 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.113.100501 %0 Journal Article %J Physical Review A %D 2013 %T Entangled singularity patterns of photons in {Ince}-{Gauss} modes %A Krenn, Mario %A Robert Fickler %A Huber, Marcus %A Radek Lapkiewicz %A Plick, William %A Ramelow, Sven %A Anton Zeilinger %B Physical Review A %V 87 %8 jan %G eng %U http://link.aps.org/doi/10.1103/PhysRevA.87.012326 %R 10.1103/PhysRevA.87.012326 %0 Journal Article %J Physical Review Letters %D 2013 %T Entanglement Generation is Not Necessary for Optimal Work Extraction %A Hovhannisyan, Karen %A Martí Perarnau-Llobet %A Huber, Marcus %A Acín, Antonio %X We consider reversible work extraction from identical quantum batteries. From an ensemble of individually passive states, work can be produced only via global unitary (and thus entangling) operations. However, we show here that there always exists a method to extract all possible work without creating any entanglement, at the price of generically requiring more operations (i.e. additional time). We then study faster methods to extract work and provide a quantitative relation between the amount of generated multipartite entanglement and extractable work. Our results suggest a general relation between entanglement generation and the power of work extraction. %B Physical Review Letters %V 111 %8 12/2013 %N 24 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.111.240401 %0 Journal Article %J Physical Review A %D 2013 %T Entropy vector formalism and the structure of multidimensional entanglement in multipartite systems %A Huber, Marcus %A Martí Perarnau-Llobet %A de Vicente, Julio I. %B Physical Review A %V 88 %8 10/2013 %U http://arxiv.org/abs/1307.3541 %N 4 %! Phys. Rev. A %R 10.1103/PhysRevA.88.042328 %0 Journal Article %J Quantum Information Processing %D 2013 %T Examining the dimensionality of genuine multipartite entanglement %A Spengler, Christoph %A Huber, Marcus %A Gabriel, Andreas %A Hiesmayr, Beatrix C. %B Quantum Information Processing %V 12 %P 269–278 %G eng %U http://link.springer.com/10.1007/s11128-012-0369-8 %R 10.1007/s11128-012-0369-8 %0 Journal Article %J New Journal of Physics %D 2013 %T Proving the generation of genuine multipartite entanglement in a single-neutron interferometer experiment %A Erdösi, Daniel %A Huber, Marcus %A Hiesmayr, Beatrix C. %A Hasegawa, Yuji %B New Journal of Physics %V 15 %P 023033 %G eng %U http://stacks.iop.org/1367-2630/15/i=2/a=023033?key=crossref.b714f63bb49eb9e64ce9a70aa4a6ddfe %R 10.1088/1367-2630/15/2/023033 %0 Journal Article %J Physical Review Letters %D 2013 %T Structure of Multidimensional Entanglement in Multipartite Systems %A Huber, Marcus %A de Vicente, Julio I. %X We explore the structure of multipartite quantum systems which are entangled in multiple degrees of freedom. We find necessary and sufficient conditions for the characterization of tripartite systems and necessary conditions for any number of parties. Furthermore we develop a framework of multilevel witnesses for efficient discrimination and quantification of multidimensional entanglement that is applicable for an arbitrary number of systems and dimensions. %B Physical Review Letters %V 110 %8 1/2013 %N 3 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.110.030501 %0 Journal Article %J Physical Review A %D 2013 %T Weak randomness in device-independent quantum key distribution and the advantage of using high-dimensional entanglement %A Huber, Marcus %A Pawłowski, Marcin %B Physical Review A %V 88 %8 9/2013 %N 3 %! Phys. Rev. A %R 10.1103/PhysRevA.88.032309