Superadditivity of convex roof coherence measures

Abstract

In this paper, we examine the superadditivity of convex roof coherence measures. We put forward a theorem on the superadditivity of convex roof coherence measures, which provides a sufficient condition to identify the convex roof coherence measures fulfilling the superadditivity. By applying the theorem to each of the known convex roof coherence measures, we prove that the coherence of formation and the coherence concurrence are superadditive, while the geometric measure of coherence, the convex roof coherence measure based on linear entropy, the convex roof coherence measure based on fidelity, and convex roof coherence measure based on $\frac{1}{2}$-entropy are non-superadditive.

arXiv comment10 pages

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Cited by in corpus (11)

• Fundamental Limits on Correlated Catalytic State Transformations
• Quantum Coherence and Intrinsic Randomness
• Completing the Grand Tour of asymptotic quantum coherence manipulation
• One-shot Coherence Distillation with Catalysts
• Catalytic Transformations in Coherence Theory
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• The block-coherence measures and the coherence measures based on positive-operator-valued measures
• Trade-off relations of l_1-norm coherence for multipartite systems
• Tighter superadditivity relations for $l_1$-norm coherence measure
• Stronger superadditivity relations for multiqubit systems
• Closed expressions for one-qubit states of convex roof coherence measures