Quantification of Macroscopic Quantum Superpositions within Phase Space

TL;DR

This paper introduces a new phase-space based measure to quantify macroscopic quantum superpositions, capturing both coherence and size, applicable to all multipartite and mixed states with strong analytical properties.

Contribution

It presents the most general and inclusive measure for macroscopic quantum superpositions, unifying coherence and size quantification in phase space.

Findings

The measure applies to any multipartite states.

It effectively quantifies both coherence and system size.

It has strong analytical and algebraic properties.

Abstract

Based on phase-space structures of quantum states, we propose a novel measure to quantify macroscopic quantum superpositions. Our measure simultaneously quantifies two different kinds of essential information for a given quantum state in a harmonious manner: the degree of quantum coherence and the effective size of the physical system that involves the superposition. It enjoys remarkably good analytical and algebraic properties. It turns out to be the most general and inclusive measure ever proposed that it can be applied to any types of multipartite states and mixed states represented in phase space.