Multipartite concurrence for identical-fermion systems

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Multipartite concurrence for identical-fermion systems

A. P. Majtey, P. A. Bouvrie, A. Valdés-Hernández, and A. R. Plastino

Phys. Rev. A 93, 032335 – Published 23 March 2016

Abstract

We study the problem of detecting multipartite entanglement among indistinguishable fermionic particles. A multipartite concurrence for pure states of $N$ identical fermions, each one having a $d$ -dimensional single-particle Hilbert space, is introduced. Such an entanglement measure, in particular, is optimized for maximally entangled states of three identical fermions that play a role analogous to the usual (qubit) Greenberger-Horne-Zeilinger state. In addition, it is shown that the fermionic multipartite concurrence can be expressed as the mean value of an observable, provided two copies of the composite state are available.

Received 15 January 2016

DOI:https://doi.org/10.1103/PhysRevA.93.032335

Physics Subject Headings (PhySH)

Entanglement detection Entanglement measures

Quantum Information, Science & Technology

Authors & Affiliations

A. P. Majtey^1,2,3,*, P. A. Bouvrie^4,5,†, A. Valdés-Hernández^6,‡, and A. R. Plastino^2,7,§

¹Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Avenida Medina Allende s/n, Ciudad Universitaria, X5000HUA Córdoba, Argentina
²Consejo de Investigaciones Científicas y Técnicas de la República Argentina, Avenida Rivadavia 1917, C1033AAJ Ciudad Autónoma de Buenos Aires, Argentina
³Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, Rio de Janeiro 21941-972, Brazil
⁴Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, Rio de Janeiro 22290-180, Brazil
⁵Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, E-18071 Granada, Spain
⁶Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México Distrito Federal, Mexico
⁷CeBio y Secretaría de Investigaciones, Universidad Nacional del Noroeste de la Provincia de Buenos Aires, UNNOBA-Conicet, Roque Saenz-Peña 456, Junin, Argentina

^*amajtey@famaf.unc.edu.ar
^†bouvrie@ugr.es
^‡andreavh@fisica.unam.mx
^§arplastino@unnoba.edu.ar

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Issue

Vol. 93, Iss. 3 — March 2016

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