Entanglement of Multipartite Fermionic Coherent States for Pseudo Hermitian Hamiltonians

TL;DR

This paper investigates the entanglement properties of multipartite fermionic pseudo-Hermitian coherent states, introducing pseudo-Hermitian analogs of well-known entangled states and quantifying their entanglement using concurrence and entropy.

Contribution

It introduces pseudo-Hermitian versions of Bell, GHZ, and W states using Grassmann numbers, expanding the understanding of entanglement in non-Hermitian quantum systems.

Findings

Pseudo-Hermitian Bell, GHZ, and W states constructed.

Entanglement quantified via concurrence and entropy.

Method applied to 2- and 3-qubit systems.

Abstract

In this paper the entanglement of multi-qubit fermionic pseudo Hermitian coherent states (FPHCS) described by anticommutative Grassmann numbers is studied. The pseudo-Hermitian versions of the well known maximally entangled pure states such as Bell and GHZ, W and biseparable states are introduced through integrating over the tensor products of FPHCSs with suitable choice of Grassmannian weight functions. Meanwhile as an illustration, the method is applied to tensor product of 2 and 3 qubit pseudo Hermitian systems. Then the measures of concurrence and average entropy are applied to quantify the entanglement of the pseudo two and three qubit states respectively.