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We investigate the properties and relations of two classes of operational bipartite and multipartite entanglement measures, the so-called source and the accessible entanglement. The former measures how easy it is to generate a given state…

量子物理 · 物理学 2017-01-31 Katharina Schwaiger , Barbara Kraus

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

Ordering physical states is the key to quantifying some physical property of the states uniquely. Bipartite pure entangled states are totally ordered under local operations and classical communication (LOCC) in the asymptotic limit and…

量子物理 · 物理学 2010-05-17 Fumiaki Morikoshi , Marcelo Franca Santos , Vlatko Vedral

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,…

量子物理 · 物理学 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…

量子物理 · 物理学 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , 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…

量子物理 · 物理学 2024-03-06 David Gunn , Martin Hebenstreit , Cornelia Spee , Julio I. de Vicente , Barbara Kraus

In order to cope with the fact that there exists no single maximally entangled state (up to local unitaries) in the multipartite setting, we introduced in [J. I. de Vicente, C. Spee and B. Kraus, Phys. Rev. Lett. 111, 110502 (2013)] the…

量子物理 · 物理学 2016-12-14 C. Spee , J. I. de Vicente , B. Kraus

We introduce two operational entanglement measures which are applicable for arbitrary multipartite (pure or mixed) states. One of them characterizes the potentiality of a state to generate other states via local operations assisted by…

量子物理 · 物理学 2015-10-14 K. Schwaiger , D. Sauerwein , M. Cuquet , J. I. de Vicente , B. Kraus

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…

量子物理 · 物理学 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

We consider asymptotic convertibility of an arbitrary sequence of bipartite pure states into another by local operations and classical communication (LOCC). We adopt an information-spectrum approach to address cases where each element of…

量子物理 · 物理学 2018-03-14 Yong Jiao , Eyuri Wakakuwa , Tomohiro Ogawa

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…

量子物理 · 物理学 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…

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

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 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

I show that two distant parties can transform pure entangled states to arbitrary pure states by stochastic local operations and classical communication (SLOCC) at the single copy level, if they share bound entangled states. This is the…

量子物理 · 物理学 2007-05-23 Satoshi Ishizaka

Entanglement theory is formulated as a quantum resource theory in which the free operations are local operations and classical communication (LOCC). This defines a partial order among bipartite pure states that makes it possible to identify…

量子物理 · 物理学 2019-07-18 Patricia Contreras-Tejada , Carlos Palazuelos , Julio I. de Vicente

In this work, we construct small sets of bipartite orthogonal pure states that cannot be perfectly distinguished by local operations and classical communication (LOCC). We mention that not all the states within the constructed sets are…

量子物理 · 物理学 2026-03-31 Saronath Halder , Suchetana Goswami

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…

量子物理 · 物理学 2022-11-14 Rivu Gupta , Arghya Maity , Shiladitya Mal , Aditi Sen De

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…

量子物理 · 物理学 2007-05-23 Akimasa Miyake

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…

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