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Local operations assisted by classical communication (LOCC) constitute the free operations in entanglement theory. Hence, the determination of LOCC transformations is crucial for the understanding of entanglement. We characterize here…

Quantum Physics · Physics 2018-08-01 David Sauerwein , Nolan R. Wallach , Gilad Gour , Barbara Kraus

Understanding multipartite entanglement is a key goal in quantum information. Entanglement in pure states can be characterised by considering transformations under Local Operations assisted by Classical Communication (LOCC). However, it has…

Quantum Physics · Physics 2024-03-06 David Gunn , Martin Hebenstreit , Cornelia Spee , Julio I. de Vicente , Barbara Kraus

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…

Reversible state transformations under entanglement non-increasing operations give rise to entanglement measures. It is well known that asymptotic local operations and classical communication (LOCC) are required to get a simple operational…

Quantum Physics · Physics 2013-05-29 Ashish V. Thapliyal , John A. Smolin

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…

Quantum Physics · Physics 2017-02-01 J. I. de Vicente , C. Spee , D. Sauerwein , B. Kraus

For manipulations of multipartite quantum systems, it was well known that all local operations assisted by classical communication (LOCC) constitute a proper subset of the class of separable operations. Recently, Gheorghiu and Griffiths…

Quantum Physics · Physics 2009-10-23 Eric Chitambar , Runyao Duan

We study the problem of transforming a set of pure bipartite states into another using deterministic LOCC (local operations and classical communication). Necessary conditions for the existence of such a transformation are obtained using…

Quantum Physics · Physics 2022-06-27 Somshubhro Bandyopadhyay , Saronath Halder , Ritabrata Sengupta

Characterizing the transformation and classification of multipartite entangled states is a basic problem in quantum information. We study the problem under two most common environments, local operations and classical communications (LOCC),…

Quantum Physics · Physics 2011-03-02 Lin Chen , Masahito Hayashi

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties of entanglement. We give a quick overview about the…

Quantum Physics · Physics 2007-05-23 Akimasa Miyake

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

Quantum Physics · Physics 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus

We explore the question of using an entangled state as a universal resource for implementing quantum measurements by local operations and classical communication (LOCC). We show that for most systems consisting of three or more subsystems,…

Quantum Physics · Physics 2016-09-13 Somshubhro Bandyopadhyay , Saronath Halder , Michael Nathanson

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite…

Quantum Physics · Physics 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus

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…

Quantum Physics · Physics 2017-02-01 C. Spee , J. I. de Vicente , D. Sauerwein , B. Kraus

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…

Quantum Physics · Physics 2024-03-14 Cornelia Spee , Tristan Kraft

Entanglement is a resource to overcome the natural restriction of operations used for state manipulation to Local Operations assisted by Classical Communication (LOCC). Hence, a bipartite maximally entangled state is a state which can be…

Quantum Physics · Physics 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

The distribution of typical bipartite pure states is studied within the framework of state transformation via local operation and classical communication (LOCC). We report the statistics of comparable and incomparable states in different…

Quantum Physics · Physics 2022-11-14 Rivu Gupta , Arghya Maity , Shiladitya Mal , Aditi Sen De

We construct the protocols to achieve probabilistic and deterministic entanglement transformations for bipartite pure states by means of local operations and classical communication. A new condition on pure contraction transformations is…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , M. F. Sacchi

We present a practical classification scheme for the four-partite entangled states under stochastic local operations and classical communication (SLOCC). By transforming a four-partite state into a triple-state set composed of two…

Quantum Physics · Physics 2017-08-02 S. M. Zangi , Jun-Li Li , Cong-Feng Qiao

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.…

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic…

Quantum Physics · Physics 2018-08-09 David Sauerwein , Katharina Schwaiger , Barbara Kraus
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