Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1601.05341 · Physical Review A

Multipartite concurrence for identical-fermion systems

A. P. Majtey, Peter Alexander Bouvrie, Andrea Valdés-Hernández, Angel Ricardo Plastino

Published Mar 23, 2016• 34 citations
arXivHTMLPDF

Abstract

The characterization of multipartite entanglement is tricky, but when the parts are fermions it might become even controversial. In this study a multipartite concurrence measure to detect entanglement in fermionic systems is proposed.
DOI
10.1103/physreva.93.032335

Related papers

Candidates for universal measures of multipartite entanglement

Samuel R. Hedemann

We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert space is the ent-concurrence, which detects all entanglement correlations while distinguishing between different types of distinctly multipartite entanglement, and simplifies to the concurrence for two-qubit mixed states. For applications where subsystems need internal entanglement, we develop the absolute ent-concurrence which detects the entanglement in the reduced states as well as the full state.

arXiv:1701.03782•Quantum Information and Computation•May 1, 2018•5 citations

Indistinguishable entangled fermions: basics and future challenges

A. P. Majtey, Andrea Valdés-Hernández, Eloisa Cuestas

The study of entanglement in systems composed of identical particles raises interesting challenges with far-reaching implications in both, our fundamental understanding of the physics of composite quantum systems, and our capability of exploiting quantum indistinguishability as a resource in quantum information theory. Impressive theoretical and experimental advances have been made in the last decades that bring us closer to a deeper comprehension and to a better control of entanglement. Yet, when it involves composites of indistinguishable quantum systems, the very meaning of entanglement, and hence its characterization, still finds controversy and lacks a widely accepted definition. The aim of the present paper is to introduce, within an accessible and self-contained exposition, the basic ideas behind one of the approaches advanced towards the construction of a coherent definition of entanglement in systems of indistinguishable particles, with focus on fermionic systems. We also inquire whether the corresponding tools developed for studying entanglement in identical-fermion systems can be exploited when analysing correlations in distinguishable-party systems, in which the complete information of the individual parts is not available. Further, we open the discussion on the broader problem of constructing a suitable framework that accommodates entanglement in the presence of generalized statistics. This article is part of the theme issue 'Identity, individuality and indistinguishability in physics and mathematics'.

arXiv:2303.17539•Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences•Jul 30, 2023•6 citations

Lower bounds of concurrence for multipartite states

Xue-Na Zhu, Ming Li, Shao-Ming Fei

We study the entanglement of multipartite quantum states. Some lower bounds of the multipartite concurrence are reviewed. We further present more effective lower bounds for detecting and qualifying entanglement, by establishing functional relations between the concurrence and the generalized partial transpositions of the multipartite systems.

arXiv:1205.0954•AIP conference proceedings•Jan 1, 2012•7 citations

Genuine multipartite entanglement detection and lower bound of multipartite concurrence

Ming Li, Shao-Ming Fei, Xianqing Li‐Jost +1 more

The problems of genuine multipartite entanglement detection and classification are challenging. We show that a multipartite quantum state is genuine multipartite entangled if the multipartite concurrence is larger than certain quantities given by the number and the dimension of the subsystems. This result also provides a classification of various genuine multipartite entanglements. We present a lower bound of the multipartite concurrence in terms of bipartite concurrences. While various operational approaches are available for providing lower bounds of bipartite concurrences, our results give an effective operational way to detect and classify genuine multipartite entanglement. As applications, genuine multipartite entanglement of tripartite systems is analyzed in detail.

arXiv:1512.08845•Physical Review A•Dec 28, 2015•33 citations

From entanglement certification with quench dynamics to multipartite entanglement of interacting fermions

Ricardo Costa de Almeida, Philipp Hauke

The authors introduce a protocol to measure the quantum Fisher information of quantum many-body systems with the help of engineered dynamics as well as a framework to certify the presence of multipartite entanglement in systems of fermions.

arXiv:2005.03049•Physical Review Research•Aug 24, 2021•21 citations

Witnessing multipartite entanglement by detecting coherence

Davide Girolami, Benjamin Yadin

The characterization of quantum coherence in the context of quantum information theory and its interplay with quantum correlations is currently subject of intense study. Several theoretical quantifiers of coherence have been proposed, and links to quantum correlation measures have been provided. We here propose an experimental strategy to witness the presence of entanglement in multipartite systems by evaluating coherence. We test our scheme by simulating coherence and entanglement detection in a three-qubit GHZ-diagonal state.

•Sep 14, 2015•2 citations
We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert space is the ent-concurrence, which detects all entanglement correlations while distinguishing between different types of distinctly multipartite entanglement, and simplifies to the concurrence for two-qubit mixed states. For applications where subsystems need internal entanglement, we develop the absolute ent-concurrence which detects the entanglement in the reduced states as well as the full state.
The study of entanglement in systems composed of identical particles raises interesting challenges with far-reaching implications in both, our fundamental understanding of the physics of composite quantum systems, and our capability of exploiting quantum indistinguishability as a resource in quantum information theory. Impressive theoretical and experimental advances have been made in the last decades that bring us closer to a deeper comprehension and to a better control of entanglement. Yet, when it involves composites of indistinguishable quantum systems, the very meaning of entanglement, and hence its characterization, still finds controversy and lacks a widely accepted definition. The aim of the present paper is to introduce, within an accessible and self-contained exposition, the basic ideas behind one of the approaches advanced towards the construction of a coherent definition of entanglement in systems of indistinguishable particles, with focus on fermionic systems. We also inquire whether the corresponding tools developed for studying entanglement in identical-fermion systems can be exploited when analysing correlations in distinguishable-party systems, in which the complete information of the individual parts is not available. Further, we open the discussion on the broader problem of constructing a suitable framework that accommodates entanglement in the presence of generalized statistics. This article is part of the theme issue 'Identity, individuality and indistinguishability in physics and mathematics'.
The problems of genuine multipartite entanglement detection and classification are challenging. We show that a multipartite quantum state is genuine multipartite entangled if the multipartite concurrence is larger than certain quantities given by the number and the dimension of the subsystems. This result also provides a classification of various genuine multipartite entanglements. We present a lower bound of the multipartite concurrence in terms of bipartite concurrences. While various operational approaches are available for providing lower bounds of bipartite concurrences, our results give an effective operational way to detect and classify genuine multipartite entanglement. As applications, genuine multipartite entanglement of tripartite systems is analyzed in detail.
The characterization of quantum coherence in the context of quantum information theory and its interplay with quantum correlations is currently subject of intense study. Several theoretical quantifiers of coherence have been proposed, and links to quantum correlation measures have been provided. We here propose an experimental strategy to witness the presence of entanglement in multipartite systems by evaluating coherence. We test our scheme by simulating coherence and entanglement detection in a three-qubit GHZ-diagonal state.