Strong superadditivity relations for multiqubit systems

Abstract

We investigate the distributions of quantum coherence characterized by superadditivity relations in multipartite quantum systems. General superadditivity inequalities based on the $\alpha$th ($\alpha ⩾1$) power of $l_1$ norm of coherence are presented for multiqubit states, which include the existing ones as special cases. Our result is shown to be tighter than the existing one by a specific example.

References in corpus (5)

• Quantum Resource Theories
• Measuring Quantum Coherence with Entanglement
• The Fidelity and Trace Norm Distances for Quantifying Coherence
• Max- relative entropy of coherence: an operational coherence measure
• Tighter constraints of multiqubit entanglement

Cited by in corpus (2)

• Tighter superadditivity relations for $l_1$-norm coherence measure
• Stronger superadditivity relations for multiqubit systems