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It is known that the states in an unextendible product basis (UPB) cannot be distinguished perfectly when the parties are restricted to local operations and classical communication (LOCC). Previous discussions of such bases have left open…

量子物理 · 物理学 2009-11-13 Scott M. Cohen

Entanglement is a central resource in quantum information science; therefore, it is important to design local discrimination protocols that minimize resource consumption. In this paper, we propose three entanglement-allocation schemes for…

量子物理 · 物理学 2026-02-17 Qiqi Feng , Huaqi Zhou , Limin Gao

Recently using entanglement as resource to distinguish orthogonal product states by local operations and classical communication (LOCC) has been studied intensively. Zhang. et al. presented protocols to use entanglement to distinguish…

量子物理 · 物理学 2020-08-10 Hai-Quan Li , Naihuan Jing , Xi-Lin Tang

We explore entanglement as a resource to distinguish locally indistinguishable orthogonal quantum states. Specifically, we consider sets which contain states from an unextendible product basis along with a pure entangled state. We establish…

量子物理 · 物理学 2025-09-30 Abhay Srivastav , Saronath Halder

A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entanglement. It is known that unextendible product…

量子物理 · 物理学 2022-01-04 Fei Shi , Mao-Sheng Li , Lin Chen , Xiande Zhang

Quantum nonlocality is associated with the local indistinguishability of orthogonal states. Unextendible product basis (UPB), a widely used tool in quantum information, exhibits nonlocality which is the powerful resource for quantum…

量子物理 · 物理学 2024-07-02 Mengyao Hu , Lin Chen , Fei Shi , Xiande Zhang , Jordi Tura

It is not always possible to distinguish multipartite orthogonal states if only local operation and classical communication (LOCC) are allowed. We prove that we cannot distinguish the states of an unextendible product basis (UPB) by LOCC…

量子物理 · 物理学 2009-11-10 Sergio De Rinaldis

Entanglement-assisted discrimination of orthogonal quantum states exhibiting quantum nonlocality is a frontier topic in quantum information theory. In this paper, we investigate the role of multipartite entanglement and develop…

量子物理 · 物理学 2026-03-18 Ziying Hou , Huaqi Zhou , Limin Gao

Suppose a set of $m$-partite, $m\geq3$, pure orthogonal fully separable states is given. We consider the task of distinguishing these states perfectly by local operations and classical communication (LOCC) in different $k$-partitions,…

量子物理 · 物理学 2020-01-14 Saronath Halder , Ritabrata Sengupta

We investigate the quantum nonlocality via the discrimination on two, three and four-qubit orthogonal product bases (OPBs). We show that every two-qubit, and some three and four-qubit OPBs can be locally distinguished. It turns out that the…

量子物理 · 物理学 2023-10-02 Lin Chen , Yutong Jiang

Locally indistinguishable states are useful to distribute information among spatially separated parties such that the information is locked. This implies that the parties are not able to extract the information completely via local…

量子物理 · 物理学 2025-08-20 Suchetana Goswami , Saronath Halder

A set of multipartite orthogonal product states is locally irreducible, if it is not possible to eliminate one or more states from the set by orthogonality-preserving local measurements. An effective way to prove that a set is locally…

量子物理 · 物理学 2022-01-12 Fei Shi , Mao-Sheng Li , Mengyao Hu , Lin Chen , Man-Hong Yung , Yan-Ling Wang , Xiande Zhang

We study the problem of locally distinguishing pure quantum states using shared entanglement as a resource. For a given set of locally indistinguishable states, we define a resource state to be useful if it can enhance local…

量子物理 · 物理学 2018-02-21 Somshubhro Bandyopadhyay , Saronath Halder , Michael Nathanson

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

Mutual convertibility of bound entangled states under local quantum operations and classical communication (LOCC) is studied. We focus on states associated with unextendible product bases (UPB) in a system of three qubits. A complete…

量子物理 · 物理学 2007-05-23 Sergey Bravyi

We introduce a hitherto unexplored form of quantum nonlocality, termed local subset unidentifiability, that arises from the limitation of spatially separated parties to perfectly identify a subset of mutually orthogonal multipartite quantum…

量子物理 · 物理学 2024-05-24 Pratik Ghosal , Arkaprabha Ghosal , Subhendu B. Ghosh , Amit Mukherjee

Entanglement is one of the strongest quantum correlation, and is a key ingredient in fundamental aspects of quantum mechanics and a resource for quantum technologies. While entanglement theory is well settled for distinguishable particles,…

量子物理 · 物理学 2021-08-27 Till Jonas Frederick Johann , Ugo Marzolino

Non-locality without entanglement is a rather counter-intuitive phenomenon in which information may be encoded entirely in product (unentangled) states of composite quantum systems in such a way that local measurement of the subsystems is…

量子物理 · 物理学 2017-03-08 Sarah Croke , Stephen M Barnett

Distinguishability is a fundamental and operational task generally connected to information applications. In quantum information theory, from the postulates of quantum mechanics it often has an intrinsic limitation, which then dictates and…

量子物理 · 物理学 2016-01-28 Joonwoo Bae

We can only perform a finite rounds of measurements in protocols with local operations and classical communication (LOCC). In this paper, we propose a set of product states, which require infinite rounds of measurements in order to…

量子物理 · 物理学 2019-02-27 Mao-Sheng Li , Yan-Ling Wang
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