This article is cited in 1 paper

Entanglement of multipartite fermionic coherent states for pseudo-Hermitian Hamiltonians

S. Mirzaei^a, G. Najarbashi^b, M. A. Fasihi^c, F. Mirmasoudi<sup>b

a</sup> Department of Physics, Faculty of Sciences, Sahand University of Technology, Tabriz, Iran
^b Department of Physics, University of Mohaghegh Ardabili, Ardabil, Iran
^c Department of Physics, Azarbaijan Shahid Madani University, Tabriz, Iran

Abstract: We study the entanglement of multiqubit fermionic pseudo-Hermitian coherent states (FPHCSs) described by anticommutative Grassmann numbers. We introduce pseudo-Hermitian versions of well-known maximally entangled pure states, such as Bell, GHZ, Werner, and biseparable states, by integrating over the tensor products of FPHCSs with a suitable choice of Grassmannian weight functions. As an illustration, we apply the proposed method to the tensor product of two- and three-qubit pseudo-Hermitian systems. For a quantitative characteristic of entanglement of such states, we use a measure of entanglement determined by the corresponding concurrence function and average entropy.

Keywords: pseudo-Hermitian, entanglement, pseudo-fermionic coherent state, pseudo-Bell state, pseudo-GHZ state, pseudo-Werner state.

Received: 25.09.2017
Revised: 29.01.2018

DOI: 10.4213/tmf9467

 English version: Theoretical and Mathematical Physics, 2018, 196:1, 1028–1042

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