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We investigate absolutely maximally entangled (AME) states, which are multipartite quantum states that are maximally entangled with respect to any possible bipartition. These strong entanglement properties make them a powerful resource for…

量子物理 · 物理学 2013-06-12 Wolfram Helwig , Wei Cui

Absolutely maximally entangled, AME, states are pure multipartite states that give rise to the maximally mixed states when half or more of the parties are traced out. AME states find applications in fields like teleportation or quantum…

量子物理 · 物理学 2018-07-03 Antonio Bernal

We study the existence of absolutely maximally entangled (AME) states in quantum mechanics and its applications to quantum information. AME states are characterized by being maximally entangled for all bipartitions of the system and exhibit…

量子物理 · 物理学 2013-05-30 Wolfram Helwig , Wei Cui , Arnau Riera , José I. Latorre , Hoi-Kwong Lo

Absolutely maximally entangled (AME) pure states of a system composed of $N$ parties are distinguished by the property that for any splitting at least one partial trace is maximally mixed. Due to maximal possible correlations between any…

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 classification of multipartite entanglement is essential as it serves as a resource for various quantum information processing tasks. This study concerns a particular class of highly entangled multipartite states, the so-called…

量子物理 · 物理学 2024-11-07 N Ramadas , Arul Lakshminarayan

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

Absolutely maximally entangled (AME) states are multipartite entangled states that are maximally entangled for any possible bipartition. In this paper, we study the description of AME states within the graph state formalism. The graphical…

量子物理 · 物理学 2013-06-13 Wolfram Helwig

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

Absolutely Maximally Entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible partitions. AME states are known to play a relevant role in multipartite teleportation, in quantum…

量子物理 · 物理学 2015-12-02 Dardo Goyeneche , Daniel Alsina , José I. Latorre , Arnau Riera , Karol Życzkowski

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

We demonstrate that one maximally entangled state is sufficient and necessary to distinguish a complete basis of maximally entangled states by local operation and classical communication.

量子物理 · 物理学 2007-05-23 Dong Yang , Yi-Xin Chen

Ordering and classifying multipartite quantum states by their entanglement content remains an open problem. One class of highly entangled states, useful in quantum information protocols, the absolutely maximally entangled (AME) ones, are…

量子物理 · 物理学 2023-09-15 Suhail Ahmad Rather , N. Ramadas , Vijay Kodiyalam , Arul Lakshminarayan

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

Absolutely maximally entangled (AME) states of multipartite quantum systems exhibit maximal entanglement across all possible bipartitions. These states lead to teleportation protocols that surpass standard teleportation schemes, determine…

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…

量子物理 · 物理学 2018-08-01 David Sauerwein , Nolan R. Wallach , Gilad Gour , Barbara Kraus

In this paper we prove that no absolutely maximally entangled, AME, state with minimal support exists with 7 sites and 5 levels. General AME states are pure multipartite states that, when reduced to half or less of the sites, the maximum…

量子物理 · 物理学 2017-04-04 Antonio Bernal

Absolutely maximally entangled (AME) states are pure multi-partite generalizations of the bipartite maximally entangled states with the property that all reduced states of at most half the system size are in the maximally mixed state. AME…

量子物理 · 物理学 2018-02-14 Zahra Raissi , Christian Gogolin , Arnau Riera , Antonio Acín

For a multipart quantum system, a locally maximally entangled (LME) state is one where each elementary subsystem is maximally entangled with its complement. This paper is a sequel to arXiv:1708.01645, which gives necessary and sufficient…

量子物理 · 物理学 2019-03-12 Jim Bryan , Samuel Leutheusser , Zinovy Reichstein , Mark Van Raamsdonk

We investigate the relationship between locally maximally entangleable (LME) states and W-type states which are equivalent to a W state under stochastic local operations and classical communication (SLOCC). We prove that (i) some special…

量子物理 · 物理学 2013-06-05 Ri Qu , Juan Wang , Yan-ru Bao , Zong-shang Li
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