Strong quantum nonlocality for multipartite entangled states

• URL: http://arxiv.org/abs/2007.10733v2
• Date: Fri, 24 Jul 2020 00:39:31 GMT
• Title: Strong quantum nonlocality for multipartite entangled states
• Authors: Zhi-Chao Zhang, Guojing Tian, Tian-Qing Cao
• Abstract summary: We present a general definition of strong quantum nonlocality based on the local indistinguishability. Our results extend the phenomenon of strong nonlocality for entangled states.
• Score: 7.240563090941907
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, Halder \emph{et al.} [S. Halder \emph{et al.}, Phys. Rev. Lett. \textbf{122}, 040403 (2019)] present two sets of strong nonlocality of orthogonal product states based on the local irreducibility. However, for a set of locally indistinguishable orthogonal entangled states, the remaining question is whether the states can reveal strong quantum nonlocality. Here we present a general definition of strong quantum nonlocality based on the local indistinguishability. Then, in $2 \otimes 2 \otimes 2$ quantum system, we show that a set of orthogonal entangled states is locally reducible but locally indistinguishable in all bipartitions, which means the states have strong nonlocality. Furthermore, we generalize the result in N-qubit quantum system, where $N\geqslant 3$. Finally, we also construct a class of strong nonlocality of entangled states in $d\otimes d\otimes \cdots \otimes d, d\geqslant 3$. Our results extend the phenomenon of strong nonlocality for entangled states.

Related papers

• Strong quantum nonlocality without entanglement in every $(n-1)$-partition [0.0]
  Rigorous proofs show that these sets are locally irreducible in every $(n-1)-partition. Our results can also enhance one understanding for the nonlocality without entanglement.
  arXiv  Detail & Related papers  (2024-07-03T13:57:10Z)
• Existence of strongly nonlocal sets of three states in any N-partite system [0.0]
  Strong nonlocality refers to local irreducibility of a set of multipartite quantum states across each bipartition of the subsystems. Here, we show the existence of three orthogonal quantum states in (C2)otimes that cannot be distinguished locally across any bipartition of the subsystems. The caridnality of strongly nonlocal sets here is dramatically smaller than all known ones.
  arXiv  Detail & Related papers  (2024-03-16T16:59:24Z)
• Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras [41.94295877935867]
  We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. We quantify the performance of a given resource state by the worst-case error. Our findings have implications for relativistic quantum field theory, where type III algebras naturally appear.
  arXiv  Detail & Related papers  (2024-01-14T14:22:54Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Nonlocality under Computational Assumptions [51.020610614131186]
  A set of correlations is said to be nonlocal if it cannot be reproduced by spacelike-separated parties sharing randomness and performing local operations. We show that there exist (efficient) local producing measurements that cannot be reproduced through randomness and quantum-time computation.
  arXiv  Detail & Related papers  (2023-03-03T16:53:30Z)
• Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables [46.03321798937856]
  We show that device independent detection cannot distinguish beyond-quantum non-local states from standard quantum states. This paper gives a device dependent detection based on local observables to distinguish any beyond-quantum non-local state from all standard quantum states.
  arXiv  Detail & Related papers  (2023-01-10T20:19:34Z)
• Experimental demonstration of optimal unambiguous two-out-of-four quantum state elimination [52.77024349608834]
  A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements. Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2022-06-30T18:00:01Z)
• From nonlocality quantifiers for behaviors to nonlocality quantifiers for states [58.720142291102135]
  We define an alternative way of quantifying nonlocality of states based on Bell nonlocality of behaviors, called the trace-weighted nonlocal volume. The construction is based on the nonlocal volume, a quantifier of nonlocality for states that counts the volume of the set of measurements that give rise to nonlocal behaviors when applied to this state, plus the trace distance. We show that the weak anomaly of nonlocality for the (2, 2, 3) scenario persists, but the local minimum for nonlocality with the trace-weighted nonlocal volume occurs in a different state as compared to the minimum for the
  arXiv  Detail & Related papers  (2022-04-13T17:29:50Z)
• Strong quantum nonlocality in $N$-partite systems [16.790803450555885]
  We show that a strongly nonlocal set of entangled states exists in $(mathbbCd)otimes N$ for all $Ngeq 3$ and $dgeq 2$. We connect quantum nonlocality with local hiding of information as an application.
  arXiv  Detail & Related papers  (2022-02-15T02:19:46Z)
• Local distinguishability based genuinely quantum nonlocality without entanglement [4.175755620596097]
  We consider a weaker form of nonlocality called local distinguishability based genuine nonlocality. We present an elegant set of product states in bipartite systems that is locally indistinguishable. We obtain that genuinely nonlocal sets of fully product states exist for all possible multipartite quantum systems.
  arXiv  Detail & Related papers  (2020-11-20T09:10:51Z)
• Strong quantum nonlocality with entanglement [15.308818907018546]
  Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems. In this paper, based on the Rubik's cube, we give the first construction of such sets consisting of entangled states in $dotimes dotimes d$ for all $dgeq 3$. Our results exhibit the phenomenon of strong quantum nonlocality with entanglement.
  arXiv  Detail & Related papers  (2020-07-20T09:31:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.