Fast computation of spherical phase-space functions of quantum many-body states

TL;DR

This paper introduces faster methods for computing phase-space functions of complex quantum states, enabling more efficient analysis of high-dimensional quantum systems for experimental and theoretical research.

Contribution

It presents novel algorithms that significantly accelerate the computation of phase-space functions for finite-dimensional and symmetric multi-qubit states.

Findings

Methods are at least ten times faster than traditional approaches.

Enables practical analysis of larger quantum many-body states.

Facilitates experimental and theoretical studies of complex quantum systems.

Abstract

Quantum devices are preparing increasingly more complex entangled quantum states. How can one effectively study these states in light of their increasing dimensions? Phase spaces such as Wigner functions provide a suitable framework. We focus on phase spaces for finite-dimensional quantum states of single qudits or permutationally symmetric states of multiple qubits. We present methods to efficiently compute the corresponding phase-space functions which are at least an order of magnitude faster than traditional methods. Quantum many-body states in much larger dimensions can now be effectively studied by experimentalists and theorists using these phase-space techniques.