Genuine hidden nonlocality without entanglement: from the perspective of local discrimination

• URL: http://arxiv.org/abs/2111.02891v3
• Date: Wed, 5 Jan 2022 12:48:00 GMT
• Title: Genuine hidden nonlocality without entanglement: from the perspective of local discrimination
• Authors: Mao-Sheng Li and Zhu-Jun Zheng
• Abstract summary: Quantum nonlocality without entanglement is a fantastic phenomenon in quantum theory. This kind of quantum nonlocality is based on the task of local discrimination of quantum states. We derive a method to tackle with the local irredundancy problem.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum nonlocality without entanglement is a fantastic phenomenon in quantum theory. This kind of quantum nonlocality is based on the task of local discrimination of quantum states. Recently, Bandyopadhyay and Halder [Phys. Rev. A 104, L050201 (2021)] studied the problem: is there any set of orthogonal states which can be locally distinguishable, but under some orthogonality preserving local measurement, each outcome will lead to a locally indistinguishable set. We say that the set with such property has hidden nonlocality. Moreover, if such phenomenon can not arise from discarding subsystems which is termed as local irredundancy, we call it genuine hidden nonlocality. There, they presented several sets of entangled states with genuine hidden nonlocality. However, they doubted the existence of a set without entanglement but with genuine hidden nonlocality. In this paper, we eliminate this doubt by constructing a series of sets without entanglement but whose nonlocality can be genuinely activated. We derive a method to tackle with the local irredundancy problem which is a key tricky for the systems whose local dimensions are composite numbers. As Bandyopadhyay and Halder have been pointed out, sets with genuine hidden nonloclity would lead to some applications on the data hiding.

Related papers

• Exploring strong locality : Quantum state discrimination regime and beyond [0.0]
  We present two classes of locally distinguishable sets within $(2m+1) otimes 2 otimes (2m+1)$ systems. One class reveals nonlocality through local operations, whereas the other requires joint measurements for it. We also explore their significant applications in the context of data hiding.
  arXiv  Detail & Related papers  (2024-08-03T20:11:14Z)
• 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)
• Bell inequalities with overlapping measurements [52.81011822909395]
  We study Bell inequalities where measurements of different parties can have overlap. This allows to accommodate problems in quantum information. The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
  arXiv  Detail & Related papers  (2023-03-03T18:11:05Z)
• 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)
• Localization in the random XXZ quantum spin chain [55.2480439325792]
  We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space.
  arXiv  Detail & Related papers  (2022-10-26T17:25:13Z)
• Locally unidentifiable subset of quantum states and its resourcefulness in secret password distribution [0.0]
  We introduce a hitherto unexplored form of quantum nonlocality, termed local subset unidentifiability. We show that this nonlocality is stronger than other existing forms of quantum nonlocality. We anticipate potential applications of this nonlocality for future quantum technologies.
  arXiv  Detail & Related papers  (2022-09-22T12:17:11Z)
• Genuine Activation of Quantum Nonlocality: Stronger Than Local Indistinguishability [0.0]
  We find a locally distinguishable set of multipartite entangled states which can be converted with certainty to a nontrivial set of locally irreducible genuinely entangled states. We also find a locally distinguishable set of multipartite entangled states which can be converted with certainty to a nontrivial set of locally irreducible genuinely entangled states.
  arXiv  Detail & Related papers  (2022-02-07T13:12:11Z)
• Genuine activation of nonlocality: From locally available to locally hidden information [13.939388417767136]
  Quantum nonlocality has different manifestations that, in general, are revealed by local measurements of parts of a composite system. We show that there exist sets that are locally distinguishable but without local redundancy. We suggest an application, namely, local hiding of information, that allows us to locally hide locally available information without losing any part.
  arXiv  Detail & Related papers  (2021-04-24T12:02:48Z)
• 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)
• Using Randomness to decide among Locality, Realism and Ergodicity [91.3755431537592]
  An experiment is proposed to find out, or at least to get an indication about, which one is false. The results of such experiment would be important not only to the foundations of Quantum Mechanics.
  arXiv  Detail & Related papers  (2020-01-06T19:26:32Z)

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.