Discrete coherent states for n qubits

TL;DR

This paper introduces discrete coherent states for n-qubit systems using eigenstates of the finite Fourier transform and visualizes their properties in phase space with the discrete Wigner function.

Contribution

It presents a novel construction of discrete coherent states for multiple qubits and explores their phase space representations.

Findings

Discrete coherent states are defined via eigenstates of the finite Fourier transform.

The properties of these states are visualized using the discrete Wigner function.

The approach provides new insights into the phase space structure of multi-qubit systems.

Abstract

Discrete coherent states for a system of $n$ qubits are introduced in terms of eigenstates of the finite Fourier transform. The properties of these states are pictured in phase space by resorting to the discrete Wigner function