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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

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

Unambiguous state discrimination of two mixed bipartite states via local operations and classical communications (LOCC) is studied and compared with the result of a scheme realized via global measurement. We show that the success…

量子物理 · 物理学 2020-03-16 Jin-Hua Zhang , Fu-Lin Zhang , Zhi-Xi Wang , Le-Min Lai , Shao-Ming Fei

We investigate the task of local marking for locally implementable unitary operations. In this setting, multipartite quantum unitary channels, chosen randomly from a known set, are distributed among spatially separated parties without…

量子物理 · 物理学 2026-04-10 Adil Imam , Satyaki Manna

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

Measurements that can be implemented via local operations and classical communication (LOCC) constitute a class of operations that is available in future quantum networks in which parties share entangled resource states. We characterise the…

量子物理 · 物理学 2026-03-31 Arthur C. R. Dutra , Ties-A. Ohst , Hai-Chau Nguyen , Otfried Gühne

We analyze the difference in the local distinguishability among the following three restrictions; (i) Local operations and only one-way classical communications (one-way LOCC) are permitted. (ii) Local operations and two-way classical…

量子物理 · 物理学 2008-01-16 Masaki Owari , Masahito Hayashi

Recently, the problem of discriminating multipartite unitary operations by local operations and classical communication (LOCC) has attracted significant attention. The latest work in the literature on this problem showed that two…

量子物理 · 物理学 2015-05-13 Lvzhou Li , Daowen Qiu

We provide rigorous, efficiently computable and tight bounds on the average error probability of multiple-copy discrimination between qubit mixed states by Local Operations assisted with Classical Communication (LOCC). In contrast to the…

量子物理 · 物理学 2010-09-13 J. Calsamiglia , J. I. de Vicente , R. Munoz-Tapia , E. Bagan

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

In this article, we show a sufficient and necessary condition for locally distinguishable bipartite states via one-way local operations and classical communication (LOCC). With this condition, we present some minimal structures of one-way…

量子物理 · 物理学 2019-08-27 Xiaoqian Zhang , Cheng Guo , Weiqi Luo , Xiaoqing Tan

We consider an infinite class of unambiguous quantum state discrimination problems on multipartite systems, described by Hilbert space $\cal{H}$, of any number of parties. Restricting consideration to measurements that act only on…

量子物理 · 物理学 2015-06-22 Scott M. Cohen

In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state…

量子物理 · 物理学 2014-12-02 Eric Chitambar , Min-Hsiu Hsieh

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

We show that a set of linearly independent quantum states $\{(U_{m,n}\otimes I)\rho ^{AB}(U_{m,n}^{\dagger}\otimes I)\}_{m,n=0}^{d-1}$, where $U_{m,n}$ are generalized Pauli matrices, cannot be discriminated deterministically or…

量子物理 · 物理学 2009-11-10 Heng Fan

We show that any two different unitary operations acting on an arbitrary multipartite quantum system can be perfectly distinguishable by local operations and classical communication when a finite number of runs is allowed. We then directly…

量子物理 · 物理学 2011-11-09 Runyao Duan , Yuan Feng , Mingsheng Ying

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

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

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
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