Genuine activation of nonlocality: From locally available to locally hidden information

Bandyopadhyay, Somshubhro; Halder, Saronath

doi:10.1103/physreva.104.l050201

Cited by 13 publications

(20 citation statements)

References 76 publications

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“…Moreover, we provided a method to deal with the local redundancy problem which might be helpful to tackling this problem. Compared with results with those in [81], it is a bit surprise as sets without entanglement seems can be more easy to be genuinely activated than sets with entanglement. Therefore, it is interesting find more sets with entanglement (but with more complicated structure) and genuine hidden nonlocality.…”

Section: Conclusion and Discussionmentioning

confidence: 75%

“…Therefore, it is interesting to find that whether can we genuinely activate this stronger form of nonlocality under OPLM without decreasing the cardinality of the given set. The examples with three elements provided by [81] do satisfy this property. However, all of our results in this paper do not satisfy this property.…”

Section: Conclusion and Discussionmentioning

confidence: 81%

“…Now we give a brief review of the main problem studied in Ref. [81]. Suppose that S is an orthogonal set of multipartite states which is locally distinguishable.…”

Section: Preliminarymentioning

confidence: 99%

“…However, the authors in Ref. [81] have pointed out that there are some trivial cases which arise from taking partial trace. Such cases would happen if the original set is local redundancy, i.e., the set remains orthogonal if we discard one or more subsystems.…”

Section: Preliminarymentioning

confidence: 99%

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

Li,

Zheng

2021

Preprint

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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.

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Section: Conclusion and Discussionmentioning

confidence: 75%

Section: Conclusion and Discussionmentioning

confidence: 81%

“…Now we give a brief review of the main problem studied in Ref. [81]. Suppose that S is an orthogonal set of multipartite states which is locally distinguishable.…”

Section: Preliminarymentioning

confidence: 99%

Section: Preliminarymentioning

confidence: 99%

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

Li,

Zheng

2021

Preprint

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“…In this section, we indicate that strong quantum nonlocality can be used for local hiding of information [21][22][23][24]42]. Assume that information is encoded in a locally indistinguishable set of N -partite orthogonal states, and the so-called "boss" sends it to his N "subordinates".…”

Section: Local Hiding Of Informationmentioning

confidence: 99%

Strong quantum nonlocality in $N$-partite systems

Shi,

Ye,

Chen

et al. 2022

Preprint

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A set of multipartite orthogonal quantum states is strongly nonlocal if it is locally irreducible for every bipartition of the subsystems [Phys. Rev. Lett. 122, 040403 (2019)]. Although this property has been shown in three-, four-and five-partite systems, the existence of strongly nonlocal sets in N -partite systems remains unknown when N ≥ 6. In this paper, we successfully show that a strongly nonlocal set of orthogonal entangled states exists in (C d ) ⊗N for all N ≥ 3 and d ≥ 2, which for the first time reveals the strong quantum nonlocality in general N -partite systems. For N = 3 or 4 and d ≥ 3, we present a strongly nonlocal set consisting of genuinely entangled states, which has a smaller size than any known strongly nonlocal orthogonal product set. Finally, we connect strong quantum nonlocality with local hiding of information as an application.

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Completable sets of orthogonal product states with minimal nonlocality

Zhu

Jiang

et al. 2023

Physica A: Statistical Mechanics and its Applications

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Genuine activation of nonlocality: From locally available to locally hidden information

Cited by 13 publications

References 76 publications

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

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

Strong quantum nonlocality in $N$-partite systems

Completable sets of orthogonal product states with minimal nonlocality

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