Symmetric discrete coherent states for n qubits

TL;DR

This paper introduces a method to construct discrete coherent states for n qubits, enabling visualization and analysis of quantum states and correlations in discrete phase space.

Contribution

It presents a novel approach to defining discrete coherent states for n qubits using symmetry-based fiducial vectors and displacement operators.

Findings

Established a partial order in discrete phase space.

Enabled visualization of n-qubit states as distributions.

Analyzed quantum correlations via sums of squared Q-functions.

Abstract

We put forward a method of constructing discrete coherent states for n qubits. After establishing appropriate displacement operators, the coherent states appear as displaced versions of a fiducial vector that is fixed by imposing a number of natural symmetry requirements on its Q-function. Using these coherent states we establish a partial order in the discrete phase space, which allows us to picture some n-qubit states as apparent distributions. We also analyze correlations in terms of sums of squared Q-functions.