Quanutm-State Texture as a Resource: Measures and Nonclassical Interdependencies

TL;DR

This paper develops measures for quantum-state texture, explores its transformation properties, and links it to other quantum resources, advancing the theoretical framework of quantum resource theory.

Contribution

It introduces two new measures of quantum-state texture and analyzes their properties within the resource theory framework.

Findings

Proposed convex roof measures for quantum-state texture

Determined maximum transformation probabilities under free operations

Established connections between quantum-state texture and other resources

Abstract

Quantum-state texture is a newly recognized quantum resource that has garnered attention with the advancement of quantum theory. In this work, we address several key aspects of quantum-state texture resource theory, including the quantification of quantum-state texture, quantum state transformation under free operations, and the relationships between quantum resources. We first propose two new measures of quantum-state texture and introduce a specific functional form for constructing such measures via the convex roof method. Then, we determine the maximum probability of quantum state transformation under free operations. Finally, we establish connections between quantum-state texture and other prominent quantum resources, such as coherence, imaginarity, and predictability. Our research contributes to the measure theory of quantum-state texture and enriches the overall framework of quantum-state texture resource theory.