Entanglement of Multipartite Fermionic Coherent States for Pseudo-Hermitian Hamiltonians

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...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2018-07, Vol.196 (1), p.1028-1042
Main Authors: Mirzaei, S., Najarbashi, G., Fasihi, M. A., Mirmasoudi, F.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Hamiltonian functions
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum entanglement
Theoretical
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577918070097