Maximally coherent states

Abstract

Relative entropy measure quantifying coherence, a key property of quantum system, is proposed recently. In this note, we investigate the maximally coherent state (MCS) with respect to relative entropy measure. %(denoted by ${\mathcal{C}}_{RE}$)%. We show that there are not mixed maximally coherent states and give a complete characterization of pure maximally coherent states. Based on this characterization, for a bipartite MCS with $d_A=d_B$, we obtain that the super-additivity equality of relative entropy measure holds if and only if the state is a product state of its reduced states. From the viewpoint of resource in quantum information, we find there exists a MCS with maximal entanglement. Originated from the behaviour of quantum correlation under the influence of noisy operations, we further classify the incoherent operations which send maximally coherent states to themselves.

in Quantum Information & Computation 2015

References in corpus (2)

• Wave-particle duality: an information-based approach
• Coherence measures and optimal conversion for coherent states

Cited by in corpus (6)

• Quantum Coherence as a Resource
• Entanglement and coherence in quantum state merging
• Maximally coherent states and coherence-preserving operations
• Resource theory of coherence based on positive-operator-valued measures
• Experimentally Obtaining Maximal Coherence Via Assisted Distillation Pro cess
• Coherence convertibility for mixed states