Nonlocal sets of orthogonal product states in an arbitrary multipartite quantum system

Jiang, Dong-Huan; Xu, Ge

doi:10.1103/physreva.102.032211

Cited by 40 publications

(15 citation statements)

References 39 publications

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“…In Ref. [24] the authors presented an elegant construction of 10 indistinguishable states under LOCC in C 3 ⊗ C 3 ⊗ C 3 . According to our Lemma 1, we obtain 7 nonlocal orthogonal product states, which is less than the one from [24].…”

Section: Lemmamentioning

confidence: 99%

“…Non-locality is the fundamental feature of quantum mechanics. The indistinguishability of a set of orthogonal multipartite product states under local operations and classical communication (LOCC) has attracted much attention as a distinguished phenomenon of non-locality without quantum entanglement [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]. Many theo-retical achievements have been made in the local discrimination on sets of orthogonal product states as well as orthogonal maximally entangled states.…”

Section: Introductionmentioning

confidence: 99%

“…And Halder et al presented a new construction of 2n(d − 1) locally indistinguishable product states in [26]. Shortly before, Jiang et al [24] presented a construction on sets with smaller number of nonlocal orthogonal product states which cannot be distinguished under LOCC.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal sets of orthogonal multipartite product states with less members

Zuo¹,

Liu²,

Xiao-Fan³

et al. 2021

Preprint

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We study the constructions of nonlocal orthogonal product states in multipartite systems that cannot be distinguished by local operations and classical communication. We first present two constructions of nonlocal orthogonal product states in tripartite systemsRemarkably, our indistinguishable sets contain less nonlocal product states than the existing ones, which improves the recent results and highlights their related applications in quantum information processing.

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Section: Lemmamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocal sets of orthogonal multipartite product states with less members

Zuo¹,

Liu²,

Xiao-Fan³

et al. 2021

Preprint

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show abstract

“…On the other hand, Walgate et al 6 showed that any two multipartite orthogonal pure states can be perfectly discriminiated within finite-round using LOCC. Since then, there have been many studies focused on local indistinguishability or local distinguishability of multipartite orthogonal states 7 – 27 . Recently, there has also been an effort to find NLWE in generalized probabilistic theories 28 .…”

Section: Introductionmentioning

confidence: 99%

Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination

Kim

2021

Sci Rep

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Nonlocality without entanglement(NLWE) is a nonlocal phenomenon that occurs in quantum state discrimination of multipartite separable states. In the discrimination of orthogonal separable states, the term NLWE is used when the quantum states cannot be discriminated perfectly by local operations and classical communication. In this case, the occurrence of NLWE is independent of nonzero prior probabilities of quantum states being prepared. Recently, it has been found that the occurrence of NLWE can depend on nonzero prior probabilities in minimum-error discrimination of nonorthogonal separable states. Here, we show that even in optimal unambiguous discrimination, the occurrence of NLWE can depend on nonzero prior probabilities. We further show that NLWE can occur regardless of nonzero prior probabilities, even if only one state can be locally discriminated without error. Our results provide new insights into classifying sets of multipartite quantum states in terms of quantum state discrimination.

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“…This is because every quantum state can be reproduced using classical systems of higher dimension. It is, however, possible to ensure the security by checking for nonlocally [61,62].…”

Section: Introductionmentioning

confidence: 99%

Semi-device-independent quantum key agreement protocol

Yang

Wang

et al. 2021

Quantum Inf Process

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In quantum key agreement (QKA), a shared key is established among two or more parties where each participant equally contributes its part to the shared key, and none of the participants can determine the shared key alone. Zhou et al. (Electron Lett 40(18):1149) gave the first QKA protocol based on quantum teleportation and since then quite a few variants and extensions have been proposed. However, none of the existing protocols are device-independent, i.e., all of them assume implicitly that the single-photon states or entangled states supplied to the participants are of certain form. In this work, we exploit the idea of the device-independent dimension witness for independent preparation and measurement devices proposed by Tavakoli (Phys Rev Lett 125:15050, 2020) and connect it with the QKA protocol (Chong and Hwang in Opt Commun 283:1192-1195 to present the concept of semi-device-independent QKA protocol for the first time.

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Nonlocal sets of orthogonal product states in an arbitrary multipartite quantum system

Cited by 40 publications

References 39 publications

Nonlocal sets of orthogonal multipartite product states with less members

Nonlocal sets of orthogonal multipartite product states with less members

Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination

Semi-device-independent quantum key agreement protocol

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