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In this paper, we study the number of rounds of communication needed to implement certain tasks by local quantum operations and classical communication (LOCC). We find that the class of LOCC operations becomes strictly more powerful as more…

量子物理 · 物理学 2011-11-07 Eric Chitambar

A natural operational paradigm for distributed quantum and classical information processing involves local operations coordinated by multiple rounds of public communication. In this paper we consider the minimum number of communication…

量子物理 · 物理学 2018-02-07 Eric Chitambar , Min-Hsiu Hsieh

We consider different settings of the task to distinguish pure orthogonal quantum states under local operations and a limited amount of classical communication. In the first setting, the spatially separated parties are allowed to perform…

量子物理 · 物理学 2020-05-12 Saronath Halder , Chirag Srivastava

A powerful operational paradigm for distributed quantum information processing involves manipulating pre-shared entanglement by local operations and classical communication (LOCC). The LOCC round complexity of a given task describes how…

量子物理 · 物理学 2023-09-13 Guangkuo Liu , Ian George , Eric Chitambar

We present a complete characterization for the local distinguishability of orthogonal $2\otimes 3$ pure states except for some special cases of three states. Interestingly, we find there is a large class of four or three states that are…

量子物理 · 物理学 2009-11-13 Yu Xin , Runyao Duan

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 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

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 consider deeply the relation between the orthogonality and the distinguishability of a set of arbitrary states (including multi-partite states). It is shown that if a set of arbitrary states can be distinguished by local operations and…

量子物理 · 物理学 2009-11-07 Ping Xing Chen , Cheng Zu Li

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

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

A key result in entanglement theory is that the addition of a catalyst dramatically enlarges the set of possible state transformations via local operations and classical communication (LOCC). However, it remains unclear what is the…

量子物理 · 物理学 2025-10-10 Patryk Lipka-Bartosik , Jessica Bavaresco , Nicolas Brunner , Pavel Sekatski

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 consider generic pure $n$-qubit states and a general class of pure states of arbitrary dimensions and arbitrarily many subsystems. We characterize those states which can be reached from some other state via Local Operations assisted by…

量子物理 · 物理学 2017-02-01 C. Spee , J. I. de Vicente , D. Sauerwein , B. Kraus

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

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

Recent advances have led towards first prototypes of quantum networks in which entanglement is distributed by sources producing bipartite entangled states. This raises the question of which states can be generated in quantum networks based…

量子物理 · 物理学 2024-03-14 Cornelia Spee , Tristan Kraft

We studied pure state transformations using local operations assisted by finitely many rounds of classical communication ($LOCC_{\mathbb{N}}$) in C. Spee, J.I. de Vicente, D. Sauerwein, B. Kraus, arXiv:1606.04418 (2016). Here, we first of…

量子物理 · 物理学 2017-02-01 J. I. de Vicente , C. Spee , D. Sauerwein , B. Kraus

We prove that there is a trade-off relation between the entanglement cost and the number of rounds of communication, for two distant parties to accomplish a bidirectional quantum information task by local operations and classical…

量子物理 · 物理学 2018-10-30 Eyuri Wakakuwa , Akihito Soeda , Mio Murao

Every measurement that can be implemented by local quantum operations and classical communication (LOCC) using an infinite number of rounds is the limit of a sequence of measurements each of which requires only a finite number of rounds.…

量子物理 · 物理学 2014-10-14 Scott M. Cohen
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