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Quantifying entanglement is an important issue in quantum information theory. Here we consider the entanglement measures through the trace norm in terms of two methods, the modified measure and the extended measure for bipartite states. We…

量子物理 · 物理学 2023-02-09 Xian Shi , Lin Chen , Yixuan Liang

A complementarity relation is established between the capacity of multiport classical information transmission via quantum states and multiparty quantum correlation measures for three-qubit pure states. The multiparty quantum correlation…

量子物理 · 物理学 2013-04-02 Rabindra Nepal , R. Prabhu , Aditi Sen De , Ujjwal Sen

We show how coherences between identical constituents of a many-body quantum state can be interrogated by suitable correlation functions, and identify sufficient conditions under which low-order correlators fully characterize many-body…

量子物理 · 物理学 2022-11-22 Eric Brunner , Andreas Buchleitner , Gabriel Dufour

Recently, a technique known as quantum symmetry test has gained increasing attention for detecting bipartite entanglement in pure quantum states. In this work we show that, beyond qualitative detection, a family of well-defined measures of…

量子物理 · 物理学 2025-11-12 Xiaoyu Liu , Jordi Tura , Albert Rico

A method is proposed to characterize and quantify multipartite entanglement in terms of the probability density function of bipartite entanglement over all possible balanced bipartitions of an ensemble of qubits. The method is tested on a…

量子物理 · 物理学 2007-05-25 P. Facchi , G. Florio , S. Pascazio

We present first measure of quantum correlation of an ensemble of multiparty states. It is based on the idea of minimal entropy production in a locally distinguishable basis measurement. It is shown to be a relative entropy distance from a…

量子物理 · 物理学 2009-10-29 Michal Horodecki , Aditi Sen De , Ujjwal Sen

We present two results which combined enable one to reliably detect multimode, multipartite entanglement in the presence of measurement errors. The first result leads to a method to compute the best (approximated) physical covariance matrix…

量子物理 · 物理学 2016-10-05 E. Shchukin , P. van Loock

Multipartite entanglement detection is crucial for the develop of quantum information science and quantum computation, communication, simulation and metrology tasks. In contrast to experiments, where several handreds of qubits have been…

量子物理 · 物理学 2024-11-06 Xiao-yu Chen

We propose an information-theoretic framework to quantify multipartite correlations in classical and quantum systems, answering questions such as: what is the amount of seven-partite correlations in a given state of ten particles? We…

量子物理 · 物理学 2017-10-10 Davide Girolami , Tommaso Tufarelli , Cristian E. Susa

Detecting genuine multipartite entanglement (GME) is a state-characterization task that benchmarks coherence and experimental control in quantum systems. Existing GME tests often require joint measurements on many qubits, posing challenges…

量子物理 · 物理学 2026-02-18 Nicky Kai Hong Li , Xi Dai , Manuel H. Muñoz-Arias , Kevin Reuer , Marcus Huber , Nicolai Friis

The verification and quantification of experimentally created entanglement by simple measurements, especially between distant particles, is an important basic task in quantum processing. When composite systems are subjected to local…

量子物理 · 物理学 2009-11-13 K. M. R. Audenaert , M. B. Plenio

This paper presents a new measure of entanglement which can be employed for multipartite entangled systems. The classification of multipartite entangled systems based on this measure is considered. Two approaches to applying this measure to…

量子物理 · 物理学 2018-08-20 Seyed Arash Sheikholeslam , Thomas Aaron Gulliver

A general procedure to construct criteria for identifying genuine multipartite continuous variable entanglement is presented. It relies on the proper definition of adequate global operators describing the multipartite system, the positive…

量子物理 · 物理学 2015-12-07 A. Saboia , A. T. Avelar , S. P. Walborn , F. Toscano

Bounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the state analyzed. This approach, initially worked out for…

量子物理 · 物理学 2013-01-04 Łukasz Rudnicki , Zbigniew Puchała , Paweł Horodecki , Karol Życzkowski

Measurement incompatibility and bipartite quantum steering are known to display a strong connection: a set of measurements is incompatible if and only if it can lead to bipartite steering. Despite such a close link between these concepts in…

The correlation matrix (CM) criterion is a recently derived powerful sufficient condition for the presence of entanglement in bipartite quantum states of arbitrary dimensions. It has been shown that it can be stronger than the positive…

量子物理 · 物理学 2009-11-13 Julio I. de Vicente

We construct an entanglement measure that coincides with the generalized concurrence for a general pure bipartite state based on wedge product. Moreover, we construct an entanglement measure for pure multi-qubit states, which are…

量子物理 · 物理学 2007-05-23 Hoshang Heydari

The entanglement measure for multiqudits is proposed. This measure calculates the partial entanglement distributed by subsystems and the complete entanglement of the total system. This shows that we need to measure the subsystem…

量子物理 · 物理学 2007-05-23 Hyuk-jae Lee , Sung Dahm Oh , Doyeol Ahn

We present a measure of quantum entanglement which is capable of quantifying the degree of entanglement of a multi-partite quantum system. This measure, which is based on a generalization of the Schmidt rank of a pure state, is defined on…

量子物理 · 物理学 2016-09-08 J. Eisert , H. -J. Briegel

While entanglement plays an important role in characterizing quantum many-body systems, it is hardly possible to directly access many-body entanglement in real experiments. In this paper, we study how bipartite entanglement of many-body…

量子物理 · 物理学 2018-07-11 Chae-Yeun Park , Jaeyoon Cho