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We present an analytical approach to evaluate the geometric measure of multiparticle entanglement for mixed quantum states. Our method allows the computation of this measure for a family of multiparticle states with a certain symmetry and…

量子物理 · 物理学 2016-04-05 Lars Erik Buchholz , Tobias Moroder , Otfried Gühne

We present a geometric approach to the characterization of separability and entanglement in pure Gaussian states of an arbitrary number of modes. The analysis is performed adapting to continuous variables a formalism based on single…

量子物理 · 物理学 2007-10-28 Gerardo Adesso , Salvatore M. Giampaolo , Fabrizio Illuminati

We present entanglement witnesses for detecting genuine multi-qubit entanglement. Our constructions are robust against noise and require only two local measurement settings, independent of the number of qubits. Thus they allow to verify…

量子物理 · 物理学 2007-05-23 Geza Toth , Otfried Guehne

Determining whether a quantum state is separable or entangled is a problem of fundamental importance in quantum information science. It has recently been shown that this problem is NP-hard. There is a highly inefficient `basic algorithm'…

量子物理 · 物理学 2009-11-10 L. M. Ioannou , B. C. Travaglione , D. Cheung , A. K. Ekert

In the past decades, quantum entanglement has been recognized to be the basic resource in quantum information theory. A fundamental need is then the understanding its qualification and its quantification: Is the quantum state entangled, and…

量子物理 · 物理学 2013-02-20 Szilárd Szalay

To quantify the entanglement of bipartite systems in terms of some entanglement measure is a challenging problem in general, and it is much worse when the information about the system is less. In this manuscript, based on two classes of…

量子物理 · 物理学 2024-01-01 Xian Shi

We relate the the distinguishability of quantum states with their robustness of the entanglement, where the robustness of any resource quantifies how tolerant it is to noise. In particular, we identify upper and lower bounds on the…

量子物理 · 物理学 2025-12-24 Debarupa Saha , Kornikar Sen , Chirag Srivastava , Ujjwal Sen

Sensors for mapping the trajectory of an incoming particle find important utility in experimental high energy physics and searches for dark matter. For a quantum sensing protocol that uses projective measurements on a multi-qubit sensor…

量子物理 · 物理学 2024-10-10 Zachary E. Chin , David R. Leibrandt , Isaac L. Chuang

The geometric measure of entanglement is an approach to quantifying entanglement that is based on the Hilbert-space distance (or, equivalently, angle) between pure states and their best unentangled approximants. An entanglement witness is…

量子物理 · 物理学 2007-05-23 Tzu-Chieh Wei , Paul M. Goldbart

The certification of quantum systems is essential for emerging quantum technologies, particularly in quantum communication, networks, and distributed computing, where maintaining a common reference frame across distant nodes poses…

量子物理 · 物理学 2026-04-17 Julian Eisfeld , Nikolai Wyderka

We study the quantum separability problem by using general symmetric informationally complete measurements and present a separability criterion for arbitrary dimensional bipartite systems. We show by detailed examples that our criterion is…

量子物理 · 物理学 2018-10-10 Le-Min Lai , Tao Li , Shao-Ming Fei , Zhi-Xi Wang

We propose two semi-device-independent approaches that are able to quantify unknown multipartite quantum entanglement experimentally, where the only information that has to be known beforehand is quantum dimension, and the concept that…

量子物理 · 物理学 2022-01-05 Lijinzhi Lin , Zhaohui Wei

Entanglement depth quantifies how many qubits share genuine multipartite entanglement, but certification typically relies on tailored witnesses or full tomography, both of which scale poorly with system size. We recast entanglement-depth…

量子物理 · 物理学 2025-12-16 Marcin Płodzień

Our study employs a connected correlation matrix to quantify Quantum Entanglement. The matrix encompasses all necessary measures for assessing the degree of entanglement between particles. We begin with a three-qubit state and involve…

量子物理 · 物理学 2023-12-06 Xingyu Guo , Chen-Te Ma

A simple entanglement measure for multipartite pure states is formulated based on the partial entropy of a series of reduced density matrices. Use of the proposed new measure to distinguish disentangled, partially entangled, and maximally…

量子物理 · 物理学 2009-11-10 Feng Pan , Dan Liu , Guoying Lu , J. P. Draayer

Distinguishing physical processes is one of the fundamental problems in quantum physics. Although distinguishability of quantum preparations and quantum channels have been studied considerably, distinguishability of quantum measurements…

量子物理 · 物理学 2021-04-13 Chandan Datta , Tanmoy Biswas , Debashis Saha , Remigiusz Augusiak

High-dimensional quantum systems offer a number of advantages in larger information capacity, stronger noise resiliency, higher improved efficiency and accuracy over the qubit systems. In quantum communication the maximally entangled states…

量子物理 · 物理学 2026-04-15 Si-Qi Du , Guo-Zhu Song , Hai-Rui Wei

Entanglement is one of the most prominent features of quantum mechanics and serves as an essential resource in quantum information science. Therefore, the certification of entanglement is crucial for quantum information processing tasks.…

量子物理 · 物理学 2025-04-10 Jing-Tao Qiu , Wei-Jie Jiang , Xiao-Dong Yu

We explore the subtle relationships between partial separability and entanglement of subsystems in multiqubit quantum states and give experimentally accessible conditions that distinguish between various classes and levels of partial…

量子物理 · 物理学 2008-09-03 Michael Seevinck , Jos Uffink

Entanglement witnesses provide tools to detect entanglement in experimental situations without the need of having full tomographic knowledge about the state. If one estimates in an experiment an expectation value smaller than zero, one can…

量子物理 · 物理学 2013-08-28 Jens Eisert , Fernando G. S. L. Brandao , Koenraad M. R. Audenaert