Related papers: Existence of strongly nonlocal sets of three states in any N-partite system

Existence of strongly nonlocal sets of three states in any N-partite system

URL: http://arxiv.org/abs/2403.10969v1
Date: Sat, 16 Mar 2024 16:59:24 GMT
Title: Existence of strongly nonlocal sets of three states in any N-partite system
Authors: Zong-Xing Xiong, Mao-Sheng Li,
Abstract summary: 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.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The notion of strong nonlocality, which refers to local irreducibility of a set of orthogonal multipartite quantum states across each bipartition of the subsystems, was put forward by Halder et al. in [Phys. Rev. Lett. 122, 040403 (2019)]. Here, we show the existence of three orthogonal quantum states in (C^2)^{\otimes N} that cannot be perfectly distinguished locally across any bipartition of the subsystems. Specifically, all these three states are genuinely entangled, among which two are the N-qubit GHZ pairs. Since any three locally indistinguishable states are always locally irreducible, the three N-partite orthogonal states we present are strongly nonlocal. Thus, the caridnality of strongly nonlocal sets here is dramatically smaller than all known ones.

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)
Critical Fermions are Universal Embezzlers [44.99833362998488]
We show that universal embezzlers are ubiquitous in many-body physics. The same property holds in locally-interacting, dual spin chains via the Jordan-Wigner transformation.
arXiv Detail & Related papers (2024-06-17T17:03:41Z)
Unextendibility, uncompletability, and many-copy indistinguishable ensembles [77.34726150561087]
We study unextendibility, uncompletability and analyze their connections to many-copy indistinguishable ensembles. We report a class of multipartite many-copy indistinguishable ensembles for which local indistinguishability property increases with decreasing mixedness.
arXiv Detail & Related papers (2023-03-30T16:16:41Z)
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)
Distinguishability-based genuine nonlocality with genuine multipartite entanglement [0.0]
We study the distinguishability-based genuine nonlocality of a typical type of genuine multipartite entangled states. We show that the cardinality can at least scale down to linear in the local dimension d, with the linear factor l = 1.
arXiv Detail & Related papers (2022-11-04T11:44:30Z)
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)
Proofs of network quantum nonlocality aided by machine learning [68.8204255655161]
We show that the family of quantum triangle distributions of [DOI40103/PhysRevLett.123.140] did not admit triangle-local models in a larger range than the original proof. We produce a large collection of network Bell inequalities for the triangle scenario with binary outcomes, which are of independent interest.
arXiv Detail & Related papers (2022-03-30T18:00:00Z)
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 for multipartite entangled states [7.240563090941907]
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.
arXiv Detail & Related papers (2020-07-21T11:45:33Z)

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