Polarized ensembles of random pure states

TL;DR

This paper introduces polarized ensembles of random pure states formed by superposing two states, enabling efficient sampling from isopurity manifolds and analyzing state deviation from separability under noise.

Contribution

It presents a novel family of polarized ensembles constructed via superposition, facilitating new methods for state sampling and separability analysis.

Findings

Efficient sampling strategy for isopurity manifolds

Characterization of state deviation from separability due to noise

Manageable mathematical framework for polarized ensembles

Abstract

A new family of polarized ensembles of random pure states is presented. These ensembles are obtained by linear superposition of two random pure states with suitable distributions, and are quite manageable. We will use the obtained results for two purposes: on the one hand we will be able to derive an efficient strategy for sampling states from isopurity manifolds. On the other, we will characterize the deviation of a pure quantum state from separability under the influence of noise.