Methods of constructing superposition measures

TL;DR

This paper introduces three new methods for constructing measures of quantum superposition, extending the resource theory and providing tools to quantify nonclassicality in optical states.

Contribution

It presents three novel approaches for quantifying quantum superposition, expanding the theoretical framework and generalizing the resource theory.

Findings

Three methods based on convex roof, state transformation, and weight for superposition measures.

Generalization of superposition resource theory from two perspectives.

Framework applicable to finite optical coherent states.

Abstract

The resource theory of quantum superposition is an extension of the quantum coherent theory, in which linear independence relaxes the requirement of orthogonality. It can be used to quantify the nonclassical in superposition of finite number of optical coherent states. Based on convex roof extended, state transformation and weight, we give three methods of constructing superposition measures of quantum states, respectively. We also generalize the superposition resource theory from two perspectives.