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

• URL: http://arxiv.org/abs/2508.07481v2
• Date: Mon, 06 Oct 2025 06:09:14 GMT
• Title: Quanutm-State Texture as a Resource: Measures and Nonclassical Interdependencies
• Authors: Yuntao Cui, Zhaobing Fan, Sunho Kim,
• Abstract summary: Quantum-state texture is a newly recognized quantum resource that has garnered attention with the advancement of quantum theory.<n>We propose two new measures of quantum-state texture and introduce a specific functional form for constructing such measures.<n>We establish connections between quantum-state texture and other prominent quantum resources, such as coherence, imaginarity, and predictability.
• Score: 0.3650689241468237
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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