Faithful coherent states

TL;DR

This paper introduces faithful coherent states using fidelity-based coherence witnesses, linking them to coherence distillation and entropy measures, with practical implementation via quantum gates.

Contribution

It defines faithful coherent states based on fidelity witnesses and explores their connection to coherence measures and practical realization.

Findings

Faithful coherent states can be identified using fidelity-based criteria.

Unitary transformations for these states can be implemented with quantum gates.

Connections established between faithful coherence, distillation, and entropy measures.

Abstract

We propose the notion of faithful coherent states based on the fidelity-based coherence witness. The criterion for detecting faithful coherent states can be restricted to a subclass of fidelity-based criterion under unitary transformations for single and bipartite systems. We can realize these unitary transformations by using quantum gates and circuits, and establish the connection of faithful coherence states and coherence distillation, maximum relative entropy of coherence.