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We find that a bipartite quantum state is entangled if and only if it is quantum coherent with respect to complete bases of states in the corresponding system that are distinguishable under local quantum operations and classical…

量子物理 · 物理学 2022-01-19 Asmitha Mekala , Ujjwal Sen

Quantum information theory and quantum computing are theoritical basis of quantum computers. Thanks to entanglement, quantum mechanical systems are provisioned to realize many information processing problems faster than classical…

量子物理 · 物理学 2017-04-19 Volkan Erol

We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over all balanced bipartitions. We search for those (maximally multipartite entangled) states whose purity…

量子物理 · 物理学 2010-02-01 Paolo Facchi , Giuseppe Florio , Ugo Marzolino , Giorgio Parisi , Saverio Pascazio

Based on a general unitary operation of two-qubit system, we investigate the dynamics of entanglement, entropy and purity. Distinctive features in the different initial states settings of an interacting bipartite system are explored. The…

量子物理 · 物理学 2008-03-14 Nasser Metwally , Mahmoud Abdel-Aty

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

Quantum entanglement in multipartite systems cannot be shared freely. In order to illuminate basic rules of entanglement sharing between qubits we introduce a concept of an entangled structure (graph) such that each qubit of a multipartite…

量子物理 · 物理学 2009-11-07 Martin Plesch , Vladimir Buzek

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is rapidly gaining prominence in…

Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive…

高能物理 - 理论 · 物理学 2020-01-31 D. Melnikov , A. Mironov , S. Mironov , A. Morozov , An. Morozov

A classification of multipartite entanglement in qubit systems is introduced for pure and mixed states. The classification is based on the robustness of the said entanglement against partial trace operation. Then we use current machine…

量子物理 · 物理学 2022-10-17 F. El Ayachi , M. El Baz

Problem of classification of all the set of entangled states is considered. Invariance of entangled states relative to transformations from a group of symmetry of qubit space leads to classification of all states of the system through…

量子物理 · 物理学 2007-05-23 Constantin V. Usenko

Entanglement is defined between subsystems of a quantum system, and at fixed time two regions of space can be viewed as two subsystems of a relativistic quantum field. The entropy of entanglement between such subsystems is ill-defined…

量子物理 · 物理学 2014-10-01 Issam Ibnouhsein , Fabio Costa , Alexei Grinbaum

We first show how a new definition of entropy, which is intuitively very simple, as a divergence in cluster-size space, leads to a generalized form that is nonextensive for correlated units, but coincides exactly with the conventional one…

无序系统与神经网络 · 物理学 2007-11-20 Fariel Shafee

We argue from the point of view of statistical inference that the quantum relative entropy is a good measure for distinguishing between two quantum states (or two classes of quantum states) described by density matrices. We extend this…

量子物理 · 物理学 2009-10-30 V. Vedral , M. B. Plenio , K. Jacobs , P. L. Knight

We derive a classification and a measure of classical- and quantum-correlation of multipartite qubit, qutrit, and in general, $n$-level systems, in terms of SU$(n)$ representations of density matrices. We compare the measure for the case of…

量子物理 · 物理学 2010-10-26 Y. B. Band , I. Osherov

Multipartite entanglement has a much more complex structure than bipartite entanglement. A state that lacks generic multipartite entanglement is 2-producible, i.e. it can be written as a tensor product of at most 2-partite entangled states.…

量子物理 · 物理学 2026-04-09 Tian-Ren Jin , Yu-Ran Zhang , Heng Fan

This note quantifies the continuity properties of entanglement: how much does entanglement vary if we change the entangled quantum state just a little? This question is studied for the pure state entanglement of a bipartite system and for…

量子物理 · 物理学 2009-10-31 M. A. Nielsen

We investigate entanglement measures in the infinite-dimensional regime. First, we discuss the peculiarities that may occur if the Hilbert space of a bi-partite system is infinite-dimensional, most notably the fact that the set of states…

量子物理 · 物理学 2009-11-07 Jens Eisert , Christoph Simon , Martin B. Plenio

Unentangled pure states on a bipartite system are exactly the coherent states with respect to the group of local transformations. What aspects of the study of entanglement are applicable to generalized coherent states? Conversely, what can…

量子物理 · 物理学 2009-11-07 H. Barnum , E. Knill , G. Ortiz , L. Viola

Measuring entanglement is a demanding task in the field of quantum computation and quantum information theory. Recently, some authors experimentally demonstrated an embedding quantum simulator, using it to efficiently measure two-qubit…

量子物理 · 物理学 2018-11-01 Saeed Haddadi , Mohammad Bohloul

The concept of entanglement splitting is introduced by asking whether it is possible for a party possessing half of a pure bipartite quantum state to transfer some of his entanglement with the other party to a third party. We describe the…

量子物理 · 物理学 2009-10-31 Dagmar Bruss