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Quantum separable operations are defined as those that cannot produce entanglement from separable states, and it is known that they strictly surpass local operations and classical communication (LOCC) in a number of tasks, which is…

量子物理 · 物理学 2013-03-07 Masato Koashi , Koji Azuma , Shinya Nakamura , Nobuyuki Imoto

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

We prove limitations on LOCC and separable measurements in bipartite state discrimination problems using techniques from convex optimization. Specific results that we prove include: an exact formula for the optimal probability of correctly…

The study of state transformations by spatially separated parties with local operations assisted by classical communication (LOCC) plays a crucial role in entanglement theory and its applications in quantum information processing.…

A necessary and sufficient condition of the possibility of a deterministic local operations and classical communication (LOCC) transformation of three-qubit pure states is given. The condition shows that the three-qubit pure states are a…

量子物理 · 物理学 2015-05-20 Hiroyasu Tajima

We explore the intersection of studies in quantum error correction and quantum local operations and classical communication (LOCC). We consider one-way LOCC measurement protocols as quantum channels and investigate their error correction…

量子物理 · 物理学 2019-05-01 David Kribs , Comfort Mintah , Michael Nathanson , Rajesh Pereira

Apart from the Bell nonlocality, which deals with the correlations generated from the local input-output statistics, quantum theory exhibits another kind of nonlocality that involves the indistiguishability of the locally preparable set of…

The class of local operations and classical communication (LOCC) pertains to an important measurement scenario in many quantum communication schemes. While LOCC belongs to the more general class of separable operations (SEP), the exact…

量子物理 · 物理学 2012-10-17 Eric Chitambar , Wei Cui , Hoi-Kwong Lo

In a recent paper \cite{mySEPvsLOCC}, we showed how to construct a quantum protocol for implementing a bipartite, separable quantum measurement using only local operations on subsystems and classical communication between parties (LOCC)…

量子物理 · 物理学 2014-08-07 Scott M. Cohen

Entanglement and Bell nonlocality are known to be inequivalent: there exist entangled states that admit a local hidden-variable model for all local measurements. Here we show that this gap disappears in a minimal broadcast extension of the…

量子物理 · 物理学 2025-12-18 Pavel Sekatski , Jef Pauwels

Local operations on subsystems and classical communication between parties (LOCC) constitute the most general protocols available on spatially separated quantum systems. Every LOCC protocol implements a separable generalized measurement --…

量子物理 · 物理学 2014-08-07 Scott M. Cohen

We consider bipartite LOCC, the class of operations implementable by local quantum operations and classical communication between two parties. Surprisingly, there are operations that cannot be implemented with finitely many messages but can…

量子物理 · 物理学 2014-05-14 Honghao Fu , Debbie Leung , Laura Mancinska

The study of state transformations under local operations and classical communication (LOCC) plays a crucial role in entanglement theory. While this has been long ago characterized for pure bipartite states, the situation is drastically…

We study the distinguishability norms associated to families of locally restricted POVMs on multipartite systems. These norms (introduced by Matthews, Wehner and Winter) quantify how quantum measurements, subject to locality constraints,…

量子物理 · 物理学 2020-08-27 Guillaume Aubrun , Cécilia Lancien

We start with the task of discriminating finitely many multipartite quantum states using LOCC protocols, with the goal to optimize the probability of correctly identifying the state. We provide two different methods to show that finitely…

量子物理 · 物理学 2021-04-13 Debbie Leung , Andreas Winter , Nengkun Yu

Nonlocality without entanglement is an interesting field. A manifestation of quantum nonlocality without entanglement is the local indistinguishability of a set of orthogonal product states. In this paper we analyze the character of…

量子物理 · 物理学 2009-11-10 Ping Xing Chen , Cheng Zu Li

Local distinguishability of sets of generalized Bell states (GBSs) is investigated. We first clarify the conditions such that a set of GBSs can be locally transformed to a certain type of GBS set that is easily distinguishable within local…

量子物理 · 物理学 2021-06-02 T. Hashimoto , M. Horibe , A. Hayashi

Quantum entanglement and nonlocality are inequivalent notions: There exist entangled states that nevertheless admit local-realistic interpretations. This paper studies a special class of local-hidden-variable theories, in which the linear…

量子物理 · 物理学 2017-11-17 Bin Yan

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

The statistical distance between pure quantum states is obtained by finding a measurement that is optimal in a sense defined by Wootters. As such, one may expect that the statistical distance will turn out to be different if the set of…

量子物理 · 物理学 2014-08-07 Scott M. Cohen
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