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An intrinsic relation between maximally entangled states and entanglement measures is revealed, which plays a role in establishing connections for different entanglement quantifiers. We exploit the basic idea and propose a framework to…

量子物理 · 物理学 2008-11-21 Jianming Cai , Wei Song

Entanglement is a key resource in quantum communication, but bipartite schemes are often insufficient for advanced protocols like quantum secret sharing or distributed computing. Graph states offer a flexible way to represent and manage…

We derive an explicit expression for geometric measure of entanglement for spin and other quantum system. A relation of entanglement in pure state with the mean value of spin is given, thus, at the experimental level the local measurement…

量子物理 · 物理学 2015-10-12 Andrzej M. Frydryszak , Volodymyr M. Tkachuk

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

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

In quantum information theory, maximally entangled states, specifically locally maximally entangled (LME) states, are essential for quantum protocols. While many focus on bipartite entanglement, applications such as quantum error correction…

量子物理 · 物理学 2025-04-24 Walther Gonzalez

Quantum hypergraph states are the natural generalization of graph states. Here we investigate and analytically quantify entanglement and nonlocality for large classes of quantum hypergraph states. More specifically, we connect the geometric…

量子物理 · 物理学 2026-03-17 Jan Nöller , Otfried Gühne , Mariami Gachechiladze

Quantum hypergraph states extend the well-studied class of graph states by taking into account multi-qubit interactions through hyperedges. They provide a powerful framework to represent a family of quantum states with genuine multipartite…

量子物理 · 物理学 2026-03-12 Davide Poderini , Dagmar Bruß , Chiara Macchiavello

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyse the relations between the rates for different transitions and obtain simple…

量子物理 · 物理学 2009-10-19 Michal Horodecki , Aditi Sen De , Ujjwal Sen

Via a multidimensional complementarity relation we derive a novel operational entanglement measure for any discrete quantum system, i.e. for any multidimensional and multipartite system. This new measure admits a separation into different…

量子物理 · 物理学 2009-11-13 Beatrix C. Hiesmayr , Marcus Huber

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

Any 8-qubit graph state belongs to one of the 101 equivalence classes under local unitary operations within the Clifford group. For each of these classes we obtain a representative which requires the minimum number of controlled-Z gates for…

量子物理 · 物理学 2010-07-26 Adan Cabello , Antonio J. Lopez-Tarrida , Pilar Moreno , Jose R. Portillo

Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement. The difference between these measures for an ensemble of mixed states is…

量子物理 · 物理学 2009-10-31 L. Henderson , V. Vedral

Generating entanglement between more parties is one of the central tasks and challenges in the backdrop of building quantum technologies. Here we propose a measurement-based protocol for producing multipartite entangled states which can be…

量子物理 · 物理学 2021-12-24 Pritam Halder , Shiladitya Mal , Aditi Sen De

We study the entanglement properties of a class of $N$ qubit quantum states that are generated in arrays of qubits with an Ising-type interaction. These states contain a large amount of entanglement as given by their Schmidt measure. They…

量子物理 · 物理学 2009-11-06 Hans J. Briegel , Robert Raussendorf

The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap, which is defined as the difference between the maximal global and local extractable works from the system. We…

量子物理 · 物理学 2024-06-25 Xue Yang , Yan-Han Yang , Shao-Ming Fei , Ming-Xing Luo

An entanglement bound based on local measurements is introduced for multipartite pure states. It is the upper bound of the geometric measure and the relative entropy of entanglement. It is the lower bound of minimal measurement entropy. For…

量子物理 · 物理学 2011-10-07 Li-zhen Jiang , Xiao-yu Chen , Tian-yu Ye

We investigate the entanglement of the ground state in the quantum networks that their nodes are considered as quantum harmonic oscillators. To this aim, the Schmidt numbers and entanglement entropy between two arbitrary partitions of a…

量子物理 · 物理学 2016-11-25 M. A. Jafarizadeh , S. Nami , F. Eghbalifam

The quantification and classification of quantum entanglement is a very important and still open question of quantum information theory. In this paper, we describe an entanglement measure for multipartite pure states (the minimum of…

量子物理 · 物理学 2009-05-05 A. Yu. Chernyavskiy

We investigate some properties of the entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing local entropic measure on qubit t of a hypergraph state by using the Hamming weight…

量子物理 · 物理学 2014-11-20 Ri Qu , Yi-ping Ma , Yan-ru Bao , Juan Wang , Zong-shang Li