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We study the local distinguishability of general multi-qubit states and show that local projective measurements and classical communication are as powerful as the most general local measurements and classical communication. Remarkably, this…

量子物理 · 物理学 2008-09-25 Runyao Duan , Yu Xin , Mingsheng Ying

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

We consider one copy of a quantum system prepared in one of two orthogonal pure states, entangled or otherwise, and distributed between any number of parties. We demonstrate that it is possible to identify which of these two states the…

量子物理 · 物理学 2009-11-06 Jonathan Walgate , Anthony J. Short , Lucien Hardy , Vlatko Vedral

In this paper, we mainly study the local distinguishable multipartite quantum states by local operations and classical communication (LOCC) in $m_1\otimes m_2\otimes\ldots\otimes m_n$ , where the quantum system $m_1$ belongs to Alice, $m_2$…

量子物理 · 物理学 2019-08-27 Xiaoqian Zhang

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

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

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

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

We provide a method for checking indistinguishability of a set of multipartite orthogonal states by local operations and classical communication (LOCC). It bases on the principle of nonincreasing of entanglement under LOCC. This method…

量子物理 · 物理学 2013-05-29 Michal Horodecki , Aditi Sen De , Ujjwal Sen , Karol Horodecki

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

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 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

We explicitly exhibit a set of four ququad-ququad orthogonal maximally entangled states that cannot be perfectly distinguished by means of local operations and classical communication. Before our work, it was unknown whether there is a set…

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

We show that entanglement guarantees difficulty in the discrimination of orthogonal multipartite states locally. The number of pure states that can be discriminated by local operations and classical communication is bounded by the total…

量子物理 · 物理学 2009-11-11 M. Hayashi , D. Markham , M. Murao , M. Owari , S. Virmani

A set of orthogonal product states is said to exhibit "quantum nonlocality without entanglement" if it is locally indistinguishable, i.e. no sequence of local operations and classical communication (LOCC) can perfectly discriminate the…

量子物理 · 物理学 2026-05-29 Atanu Bhunia , Saronath Halder , Preeti Parashar , Ritabrata Sengupta

Local distinguishability of orthogonal quantum states can effectively reduce the consumption of quantum resources and lower economic costs in quantum protocols. Although numerous achievements have been made regarding local…

量子物理 · 物理学 2026-05-12 Guang-Bao Xu , Zi-Yan Hao , Hua-Kun Wang , Yu-Guang Yang , Dong-Huan Jiang

It is shown that local distinguishability of orthogonal mixed states can be completely characterized by local distinguishability of their supports irrespective of entanglement and mixedness of the states. This leads to two kinds of upper…

量子物理 · 物理学 2012-04-20 Somshubhro Bandyopadhyay

Local distinguishability of orthogonal product states is an area of active research in quantum information theory. However, most of the relevant results about local distinguishability found in bipartite quantum systems and very few are…

量子物理 · 物理学 2025-08-21 Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

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

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