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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…

We study the local indistinguishability problem of quantum states. By introducing an easily calculated quantity, non-commutativity, we present an criterion which is both necessary and sufficient for the local indistinguishability of a…

量子物理 · 物理学 2014-09-17 Teng Ma , Ming-Jing Zhao , Yao-Kun Wang , Shao-Ming Fei

In this paper, we mainly study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang \emph{et al}[Phys. Rev. A 93, 012314(2016)] to give another more concise set of $2n-1$ orthogonal…

量子物理 · 物理学 2016-03-08 Yan-Ling Wang , Mao-Sheng Li , Zhu-Jun Zheng , Shao-Ming Fei

A fundamental problem in quantum information processing is the discrimination among a set of orthogonal quantum states of a composite system under local operations and classical communication (LOCC). Corresponding to the LOCC…

量子物理 · 物理学 2025-04-17 Cai-Hong Wang , Jiang-Tao Yuan , Ying-Hui Yang , Mao-Sheng Li , Shao-Ming Fei , Zhi-Hao Ma

In this paper we consider the conditions under which a given ensemble of two-qubit states can be optimally distinguished by local operations and classical communication (LOCC). We begin by completing the \emph{perfect} distinguishability…

量子物理 · 物理学 2014-05-14 Eric Chitambar , Runyao Duan , Min-Hsiu Hsieh

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

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

Any set of states which cannot be perfectly distinguished by local operations and classical communication (LOCC) alone, can always be locally distinguished using quantum teleportation with enough entanglement resource. However, in quantum…

量子物理 · 物理学 2020-02-12 Zhi-Chao Zhang , Xia Wu , Xiangdong Zhang

In the topic of perfect local distinguishability of orthogonal multipartite quantum states, most results obtained so far pertain to bipartite systems whose subsystems are of specific dimensions. In contrast very few results for bipartite…

量子物理 · 物理学 2016-03-09 Tanmay Singal

Suppose we want to distinguish two quantum pure states. We consider the case in which no classical knowledge on the two states is given and only a pair of samples of the two states is available. This problem is called quantum pure-state…

量子物理 · 物理学 2008-01-07 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

We consider the problem of local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems. We show that, contrary to the case of quantum systems, for fermionic systems it is…

量子物理 · 物理学 2020-09-14 Matteo Lugli , Paolo Perinotti , Alessandro Tosini

It is shown that while entanglement remains a significant factor in discriminating a set of mutually orthogonal entangled states perfectly by local operations and classical communication (LOCC), entanglement content is not. In particular,…

量子物理 · 物理学 2010-03-02 Somshubhro Bandyopadhyay

We study single-shot distinguishability of locally implementable multipartite unitaries under Local Operations and Classical Communication (LOCC) and global operations. As unitary discrimination depends on both the choice of probing states…

量子物理 · 物理学 2025-09-15 Satyaki Manna , Sneha Suresh , Anandamay Das Bhowmik , Debashis Saha

Irreversibility between preparation and discrimination processes is manifested in the indistinguishability of orthogonal product states via local operations and classical communication (LOCC). Characterizing quantum properties for sets of…

量子物理 · 物理学 2025-06-24 Ayan Patra , Shiladitya Mal , Aditi Sen De

Entangled states can help in quantum state discrimination by local operations and classical communication (LOCC). For example, a Bell state is necessary (and sufficient) to perfectly discriminate a set of either three or four Bell states by…

量子物理 · 物理学 2021-10-04 Somshubhro Bandyopadhyay , Vincent Russo

In $2 \otimes 2$, more than 2 orthogonal Bell states with single copy can never be discriminated with certainty if only local operations and classical communication (LOCC) are allowed. More than $d$ orthogonal maximally entangled states in…

量子物理 · 物理学 2009-11-07 Sibasish Ghosh , Guruprasad Kar , Anirban Roy , Debasis Sarkar

Quantum nonlocality is usually associated with entangled states by their violations of Bell-type inequalities. However, even unentangled systems, whose parts may have been prepared separately, can show nonlocal properties. In particular, a…

量子物理 · 物理学 2019-02-06 Saronath Halder , Manik Banik , Sristy Agrawal , Somshubhro Bandyopadhyay

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

We study the task of quantum state exclusion, focusing on antidistinguishability and its generalization to $x$-antidistinguishability, under global measurements and local operations with classical communication (LOCC). We also introduce…

量子物理 · 物理学 2026-02-18 Satyaki Manna , Anandamay Das Bhowmik

We investigate local distinguishability of quantum states by use of the convex analysis about joint numerical range of operators on a Hilbert space. We show that any two orthogonal pure states are distinguishable by local operations and…

量子物理 · 物理学 2009-11-11 Yoshiko Ogata