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An orthogonal product basis of a composite Hilbert space is genuinely nonlocal if the basis states are locally indistinguishable across every bipartition. From an operational point of view such a basis corresponds to a separable measurement…

量子物理 · 物理学 2019-09-25 Sumit Rout , Ananda G. Maity , Amit Mukherjee , Saronath Halder , Manik Banik

Quantum theory admits ensembles of quantum nonlocality without entanglement (QNLWE). These ensembles consist of seemingly classical states (they are perfectly distinguishable and non-entangled) that cannot be perfectly discriminated with…

量子物理 · 物理学 2023-09-19 Ravi Kunjwal , Ämin Baumeler

Discrimination of quantum states under local operations and classical communication (LOCC) is an intriguing question in the context of local retrieval of classical information, encoded in the multipartite quantum systems. All the local…

The construction of nonlocal sets of quantum states has attracted much attention in recent years. We first introduce two Lemmas related to the triviality of orthogonality-preserving local measurements. Then we propose a general construction…

量子物理 · 物理学 2023-01-02 Xiao-Fan Zhen , Shao-Ming Fei , Hui-Juan Zuo

We study the discrimination of multipartite quantum states by local operations and classical communication. We derive that any optimal discrimination of quantum states spanning a two-dimensional Hilbert space in which each party's space is…

量子物理 · 物理学 2018-01-12 Kenji Nakahira , Tsuyoshi Sasaki Usuda

Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions. Known existence results for sets of strongly nonlocal…

量子物理 · 物理学 2020-10-07 Fei Shi , Mengyao Hu , Lin Chen , Xiande Zhang

We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of $k \leq d$ orthogonal maximally entangled states in…

量子物理 · 物理学 2014-08-22 Alessandro Cosentino , Vincent Russo

A set of orthogonal multipartite quantum states is said to be distinguishability-based genuinely nonlocal (also genuinely nonlocal, for abbreviation) if the states are locally indistinguishable across any bipartition of the subsystems. This…

量子物理 · 物理学 2023-11-22 Zong-Xing Xiong , Mao-Sheng Li , Zhu-Jun Zheng , Lvzhou Li

I consider deterministic distinguishability of a set of orthogonal, bipartite states when only a single copy is available and the parties are restricted to local operations and classical communication, but with the additional requirement…

量子物理 · 物理学 2009-11-13 Scott M. Cohen

A subspace of a multipartite Hilbert space is called \textit{locally indistinguishable} if any orthogonal basis of this subspace cannot be perfectly distinguished by local operations and classical communication. Previously it was shown that…

量子物理 · 物理学 2013-09-24 Nengkun Yu , Runyao Duan , Mingsheng Ying

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties of entanglement. We give a quick overview about the…

量子物理 · 物理学 2007-05-23 Akimasa Miyake

The problem behind this paper is, if the number of queries to unitary operations is fixed, say $k$, then when do local operations and classical communication (LOCC) suffice for optimally distinguishing bipartite unitary operations? We…

量子物理 · 物理学 2017-12-06 Lvzhou Li , Shenggen Zheng , Haozhen Situ , Daowen Qiu

We show that in principle, $N$-partite unitary transformations can be perfectly discriminated under local measurement and classical communication (LOCC) despite of their nonlocal properties. Based on this result, some related topics,…

量子物理 · 物理学 2009-11-13 Xiangfa Zhou , Yongsheng Zhang , Guangcan Guo

Understanding multipartite entanglement is vital, as it underpins a wide range of phenomena across physics. The study of transformations of states via Local Operations assisted by Classical Communication (LOCC) allows one to quantitatively…

量子物理 · 物理学 2021-09-01 Antoine Neven , David Gunn , Martin Hebenstreit , Barbara Kraus

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite…

量子物理 · 物理学 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus

Nonlocality without entanglement and its subsequent generalizations offer deep information-theoretic insights and subsequently find several useful applications. Concept of genuinely nonlocal set of product states emerges as a natural…

量子物理 · 物理学 2023-03-31 Sumit Rout , Ananda G. Maity , Amit Mukherjee , Saronath Halder , Manik Banik

Apart from the Bell nonlocality, which deals with the correlations generated from the local input-output statistics, quantum theory exhibits another kind of nonlocality that involves the indistiguishability of the locally preparable set of…

A set of orthogonal quantum states is said to be locally indistinguishable if they cannot be perfectly distinguished by local operations and classical communication (LOCC). Otherwise, the states are locally distinguishable. Interestingly,…

量子物理 · 物理学 2026-03-03 Atanu Bhunia , Saronath Halder , Ritabrata Sengupta

Quantum separable operations are defined as those that cannot produce entanglement from separable states, and it is known that they strictly surpass local operations and classical communication (LOCC) in a number of tasks, which is…

量子物理 · 物理学 2013-03-07 Masato Koashi , Koji Azuma , Shinya Nakamura , Nobuyuki Imoto

We consider the question of perfect local distinguishability of mutually orthogonal bipartite quantum states, with the property that every state can be specified by a unitary operator acting on the local Hilbert space of Bob. We show that…

量子物理 · 物理学 2015-05-27 Somshubhro Bandyopadhyay , Sibasish Ghosh , Guruprasad Kar