Construction and characterization of measures in block coherence resource theory

Xiangyu Chen; Qiang Lei

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arXiv · 2603.28712

Construction and characterization of measures in block coherence resource theory

Xiangyu Chen·Qiang Lei

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Abstract

Quantum coherence, as a direct manifestation of the quantum superposition principle, is a crucial resource in quantum information processing. Block coherence resource theory generalizes the traditional coherence framework by defining coherence via a set of orthogonal projectors. Within this framework, we investigates the construction and comparison of block coherence measures. First, we propose two universal methods for constructing coherence measures and introduce a two-parameter family of measures based on the $α$-$z$ Rényi relative entropy and a family of measures based on the Tsallis relative operator entropy. Second, through theoretical proofs and numerical counterexamples, we compares the ordering relations and numerical magnitudes among different block coherence measures and establishes a series of universal numerical inequalities to constrain their values. Besides, we also use $C_{α,1}$ to show the role of coherence in complex dynamic evolution of the Kominis master equation that includes recombination reactions.

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Xiangyu Chen, Qiang Lei. 2026-03-30. Construction and characterization of measures in block coherence resource theory. https://arxiv.org/abs/2603.28712

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