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Mirzaei, S.; Najarbashi, G.; Fasihi, M. A.; Mirmasoudi, F.

Entanglement of multipartite fermionic coherent states for pseudo-Hermitian Hamiltonians. (English. Russian original) Zbl 1401.81016

Theor. Math. Phys. 196, No. 1, 1028-1042 (2018); translation from Teor. Mat. Fiz. 196, No. 1, 99-116 (2018).
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.

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
81R30 Coherent states
81Q12 Nonselfadjoint operator theory in quantum theory including creation and destruction operators

Keywords:

pseudo-Hermitian; entanglement; pseudo-fermionic coherent state; pseudo-Bell state; pseudo-GHZ state; pseudo-Werner state
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Full Text: DOI arXiv

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