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A pure multipartite quantum state is called absolutely maximally entangled (AME), if all reductions obtained by tracing out at least half of its parties are maximally mixed. Maximal entanglement is then present across every bipartition. The…

量子物理 · 物理学 2018-04-06 Felix Huber , Christopher Eltschka , Jens Siewert , Otfried Gühne

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 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

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…

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

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

Understanding and classifying multipartite entanglement is fundamental to quantum information processing. This work focuses on absolutely maximally entangled (AME) states, a class of highly entangled states characterized by their maximal…

量子物理 · 物理学 2026-03-11 N Ramadas

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

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

Multipartite entanglement is a fundamental aspect of quantum mechanics, crucial to advancements in quantum information processing and quantum computation. Within this field, Genuinely Multipartite Entanglement (GME), being entangled in all…

量子物理 · 物理学 2024-10-22 Rahul V , S. Aravinda

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…

The extended Bloch representation of quantum mechanics was recently derived to offer a (hidden-measurement) solution to the measurement problem. In this article we use it to investigate the geometry of superposition and entangled states,…

量子物理 · 物理学 2017-01-02 Diederik Aerts , Massimiliano Sassoli de Bianchi

Absolutely Maximally Entangled (AME) states are maximally entangled for every bipartition of the system. They are crucial resources for various quantum information protocols. We present techniques for verifying either two AME states are…

量子物理 · 物理学 2020-08-26 Adam Burchardt , Zahra Raissi

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 typically defined in homogeneous systems. However, the quantum system is more likely to be heterogeneous in a practical setup. In this work we pay attention to the construction of AME states…

量子物理 · 物理学 2020-02-06 Yi Shen , Lin Chen

We design a series of quantum circuits that generate absolute maximally entangled (AME) states to benchmark a quantum computer. A relation between graph states and AME states can be exploited to optimize the structure of the circuits and…

量子物理 · 物理学 2019-09-02 Alba Cervera-Lierta , José Ignacio Latorre , Dardo Goyeneche

We study the fully entangled fraction of quantum states based on the Bloch representation of density matrices. Analytical upper bounds on the fully entangled fraction are obtained for arbitrary $d\otimes d$ bipartite systems. The fully…

量子物理 · 物理学 2026-02-26 Xue-Na Zhu , Gui Bao , Ming Li , Ming-Jing Zhao , Shao-Ming Fei

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

Absolutely Maximally Entangled (AME) states are important resources in quantum information processing; however, a general systematic approach for constructing these states remains a formidable challenge. We identify a finite-field rank…

量子物理 · 物理学 2026-05-07 Zakaria Dahbi , Amelle Zair
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