A coherence quantifier based on the quantum optimal transport cost

2023/11/14 by Xian Shi, Shi, Xian · 4 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2311.07852

openalex publication_date 2023/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this manuscript, we present a coherence measure based on the quantum optimal transport cost in terms of convex roof extended method. We also obtain the analytical solutions of the quantifier for pure states. At last, we propose an operational interpretation of the coherence measure for pure states.

Cited by

• Static and dynamic coherence fraction in the Bernstein-Vazirani algorithm
• No-Go Theorems for Quantum Transport Metrics from Fixed Cost Operators
• Wasserstein Distances on Quantum Structures: an Overview
• Notes on detection and measurement of quantum coherence

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