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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

In a multipartite systems, local operations are conducted by one party and the results are communicated to the other parties. Such models have been studied under the framework of LOCC and SLOCC. In this paper, we study when can an action of…

量子物理 · 物理学 2024-11-19 Mithilesh Kumar

Observations of quantum systems carried out by finite observers who subsequently communicate their results using classical data structures can be described as "local operations, classical communication" (LOCC) observations. The…

量子物理 · 物理学 2012-12-20 Chris Fields

We consider multi-party quantum sequence discrimination under local operations and classical communication(LOCC), and provide conditions under which the optimal LOCC discrimination of a multi-party quantum sequence ensemble can be…

量子物理 · 物理学 2025-10-30 Donghoon Ha , Jeong San Kim

Detection and classification of entanglement properties of a multi-qubit system is a topic of great interest. This topic has been studied extensively and thus we found different approaches for the detection and classification of multi-qubit…

量子物理 · 物理学 2023-05-02 Anu Kumari , Satyabrata Adhikari

Much of the theory of entanglement concerns the transformations that are possible to a state under local operations with classical communication (LOCC); however, this set of operations is complicated and difficult to describe…

量子物理 · 物理学 2008-08-24 Ognyan Oreshkov , Todd A. Brun

It is well known that the number of entanglement classes in SLOCC (stochastic local operations and classical communication) classifications increases with the number of qubits and is already infinite for four qubits. Bearing in mind the…

量子物理 · 物理学 2011-07-29 Oliver Viehmann , Christopher Eltschka , Jens Siewert

We show that quantum operations on multi-particle systems have a non-local content; this mirrors the non-local content of quantum states. We introduce a general framework for discussing the non-local content of quantum operations, and give…

量子物理 · 物理学 2023-03-27 Daniel Collins , Noah Linden , Sandu Popescu

We analyse entanglement classes for permutation-symmetric states for n qudits (i.e. d-level systems), with respect to local unitary operations (LU-equivalence) and stochastic local operations and classical communication (SLOCC equivalence).…

量子物理 · 物理学 2013-08-19 Piotr Migdał , Javier Rodriguez-Laguna , Maciej Lewenstein

In the first part of this Dissertation, I study the differences between LOCC (local operations and classical communication) and the more general class of separable operations. I show that the two classes coincide for the case of pure…

量子物理 · 物理学 2010-06-28 Vlad Gheorghiu

In a recent paper [Phys. Rev. A 76, 032304(2007)], Li et al. proposed the definition of the residual entanglement for n qubits by means of the Stochastic local operations and classical communication. Here we argue that their definition is…

量子物理 · 物理学 2009-11-13 XinWei Zha , HaiYang Song , MingLiang Hu

We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations and Classical Communication (LOCC). We show that this gives…

量子物理 · 物理学 2021-11-24 Lorenzo Piroli , Georgios Styliaris , J. Ignacio Cirac

Entanglement is a resource in quantum information theory when state manipulation is restricted to Local Operations assisted by Classical Communication (LOCC). It is therefore of paramount importance to decide which LOCC transformations are…

量子物理 · 物理学 2013-09-19 Julio I. de Vicente , Cornelia Spee , Barbara Kraus

We investigate the entanglement properties of pure quantum states describing $n$ qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems using controlled operations. A state has this…

量子物理 · 物理学 2013-05-29 C. Kruszynska , B. Kraus

We discuss the entanglement properties of symmetric states of $n$ qubits. The Majorana representation maps a generic such state into a system of $n$ points on a sphere. Entanglement invariants, either under local unitaries (LU) or…

量子物理 · 物理学 2015-05-27 P. Ribeiro , R. Mosseri

Collective operations on a network of spatially-separated quantum systems can be carried out using local quantum (LQ) operations, classical communication (CC) and shared entanglement (SE). Such operations can also be used to communicate…

量子物理 · 物理学 2009-11-06 Anthony Chefles , Claire R. Gilson , Stephen M. Barnett

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

Keeping pace with technological advancement, in the past decade, use of scalable networks have extended the study of quantum non-classicality beyond the regime of Bell-CHSH nonlocality. Present work provide characterization of non…

量子物理 · 物理学 2025-06-25 Kaushiki Mukherjee , Biswajit Paul

Any deterministic bipartite entanglement transformation involving finite copies of pure states and carried out using local operations and classical communication (LOCC) results in a net loss of entanglement. We show that for almost all such…

量子物理 · 物理学 2009-11-07 Somshubhro Bandyopadhyay , Vwani Roychowdhury , Farrokh Vatan

We examine the problem of using local operations and classical communication (LOCC) to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate…

量子物理 · 物理学 2010-04-13 Michael Nathanson