Multipartite concurrence for identical-fermion systems

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 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.

arXiv comment8 pages

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Cited by in corpus (24)

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• Entanglement and correlation in two-nucleon systems
• Two-orbital quantum discord in fermion systems
• Fermionic entanglement in the Lipkin model
• Many-body entanglement in a topological chiral ladder
• Fermionic Entanglement in Superconducting Systems
• Quantum Operations in an Information Theory for Fermions
• One-body entanglement as a quantum resource in fermionic systems
• Many-body entanglement in fermion systems
• Entanglement generation through particle detection in systems of identical fermions
• Effects of core space and excitation levels on ground-state correlation and photoionization dynamics of Be and Ne
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Tunable mode entanglement: topological Su-Schrieffer-Heeger (SSH) chain with an embedded Aharonov-Bohm quantum ring
• Hitting time for quantum walks of identical particles
• Generation of tripartite entangled states with fermionic systems
• Bipartite representations and many-body entanglement of pure states of $N$ indistinguishable particles
• Speed of evolution in entangled fermionic systems
• Generation of entanglement between quantum dot molecule with the presence of phonon effects in a voltage-controlled junction
• Classifying fermionic states via many-body correlation measures
• Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction
• Degrees of Entanglement in Systems of Three Indistinguishable Bosons: Revisiting the Greenberger-Horne-Zeilinge State
• Non-local spin entanglement in a fermionic chain