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Concurrence introduced by Hill and Wootters [Phys. Rev. Lett. 78, 5022 (1997)], provides an important measure of entanglement for a general pair of qubits that is strictly positive entangled states and vanishes for all separable states. We…

量子物理 · 物理学 2022-06-01 S Nibedita Swain , Vineeth S. Bhaskara , Prasanta K. Panigrahi

We qualify the entanglement of arbitrary mixed states of bipartite quantum systems by comparing global and marginal mixednesses quantified by different entropic measures. For systems of two qubits we discriminate the class of maximally…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati , Silvio De Siena

We introduce an operational interpretation for pure-state global multipartite entanglement based on quantum estimation. We show that the estimation of the strength of low-noise locally depolarizing channels, as quantified by the regularized…

量子物理 · 物理学 2009-11-13 Sergio Boixo , Alex Monras

We present two sets of computable entanglement measures for multipartite systems where each subsystem can have different degrees of freedom (so-called qudits). One set, called 'separability' measure, reveals which of the subsystems are…

量子物理 · 物理学 2009-06-10 Beatrix C. Hiesmayr , Marcus Huber , Philipp Krammer

Measurement-induced phase transitions (MIPT) give rise to novel dynamical states of quantum matter realized by balancing unitary evolution and measurements. We present large-scale numerical simulations of a trapped-ion native MIPT, argued…

量子物理 · 物理学 2026-02-06 Liuke Lyu , James Allen , Yi Hong Teoh , Roger G Melko , William Witczak-Krempa

The Groverian entanglement measure introduced earlier for pure quantum states [O. Biham, M.A. Nielsen and T. Osborne, Phys. Rev. A 65, 062312 (2002)] is generalized to the case of mixed states, in a way that maintains its operational…

量子物理 · 物理学 2009-11-11 Daniel Shapira , Yishai Shimoni , Ofer Biham

Multipartite entanglement is an essential resource for quantum communication, quantum computing, quantum sensing, and quantum networks. The utility of a quantum state, $|\psi\rangle$, for these applications is often directly related to the…

量子物理 · 物理学 2022-01-05 Jacob L. Beckey , N. Gigena , Patrick J. Coles , M. Cerezo

We introduce generalization of the recently proposed \textit{Latent Entropy} (L-entropy) \cite{Basak:2024uwc} as a refined measure of genuine multipartite entanglement (GME) in pure states of $n$-party quantum systems. Generalized L-entropy…

高能物理 - 理论 · 物理学 2026-05-29 Byoungjoon Ahn , Jaydeep Kumar Basak , Keun-Young Kim , Gwon Bin Koo , Vinay Malvimat , Junggi Yoon

Multipartite entanglement is one of the hallmarks of quantum mechanics and is central to quantum information processing. In this work we show that Concentratable Entanglement (CE), an operationally motivated entanglement measure, induces a…

量子物理 · 物理学 2024-10-01 Louis Schatzki , Guangkuo Liu , M. Cerezo , Eric Chitambar

Based on the mutually unbiased bases, the mutually unbiased measurements and the general symmetric informationally complete positive-operator-valued measures, we propose three separability criteria for $d$-dimensional bipartite quantum…

量子物理 · 物理学 2015-09-02 Shu-Qian Shen , Ming Li , Xue-Feng Duan

Computing entanglement of an arbitrary bipartite or multipartite mixed state is in general not an easy task as it usually involves complex optimization. Here we show that exploiting symmetries of certain mixed states, we can compute a…

量子物理 · 物理学 2016-08-31 Tamoghna Das , Sudipto Singha Roy , Shrobona Bagchi , Avijit Misra , Aditi Sen De , Ujjwal Sen

We compute the multipartite entanglement measures such as the global entanglement of various one- and two-dimensional quantum systems to probe the quantum criticality based on the matrix and tensor product states (MPSs/TPSs). We use…

量子物理 · 物理学 2015-07-24 Ching-Yu Huang , Feng-Li Lin

Bound entangled states are states that are entangled but from which no entanglement can be distilled if all parties are allowed only local operations and classical communication. However, in creating these states one needs nonzero…

量子物理 · 物理学 2009-11-10 Tzu-Chieh Wei , Joseph B. Altepeter , Paul M. Goldbart , William J. Munro

We analyze tight informationally complete measurements for arbitrarily large multipartite systems and study their configurations of entanglement. We demonstrate that tight measurements cannot be exclusively composed neither of fully…

量子物理 · 物理学 2018-06-26 Jakub Czartowski , Dardo Goyeneche , Karol Życzkowski

A measure of entanglement production by quantum operations is suggested. This measure is general, being valid for operations over pure states as well as over mixed states, for equilibrium as well as for nonequilibrium processes. The measure…

量子物理 · 物理学 2025-08-01 V. I. Yukalov , E. P. Yukalova

We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schr\"odinger-Robertson uncertainty relation. We show that any pure entangled bipartite and tripartite state can be…

量子物理 · 物理学 2009-11-13 J. Gillet , T. Bastin , G. S. Agarwal

For a multipartite system, we sort out all possible entanglements, each of which is among a set of subsystems. Each entanglement can be measured by a generalized relative entropy of entanglement, which is conserved on average under…

量子物理 · 物理学 2007-05-23 Yu Shi

The main concern of this paper is how to define proper measures of multipartite entanglement for mixed quantum states. Since the structure of partial separability and multipartite entanglement is getting complicated if the number of…

量子物理 · 物理学 2021-03-05 Szilárd Szalay

We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using multipartite Schmidt decomposition. MME states are a special kind of…

量子物理 · 物理学 2022-04-01 Samuel R. Hedemann

Multipartite entanglement is an essential resource for quantum information theory and technologies, but its quantification has been a persistent challenge. Recently, Concentratable Entanglement (CE) has been introduced as a promising…

量子物理 · 物理学 2024-06-27 Xiaoyu Liu , Johannes Knörzer , Zherui Jerry Wang , Jordi Tura