Intrinsic basis-independent quantum coherence measure

TL;DR

This paper introduces a basis-independent quantum coherence measure that accurately reflects the physical essence of quantum states and simplifies measurement by eliminating the need for optimization procedures.

Contribution

It proposes an intrinsic, basis-independent coherence measure that satisfies all quantification conditions and streamlines the measurement process.

Findings

The measure is basis-independent and physically meaningful.

It simplifies coherence quantification by avoiding optimization.

It adheres to all formal conditions for coherence measures.

Abstract

Quantum coherence is a key resource in quantum information processing scenarios, and quantifying coherence is an important task for both quantum foundation and quantum technology. However, until now, all most of coherence measures are basis-dependent that does not accord with physical reality, since the physical properties of the physical system should not be changed with the different choice of coordinate systems. Here, we propose an \textit{intrinsic basis-independent quantum coherence measure} which satisfies all conditions for quantifying coherence. This measurement not only reveals physical essence of quantum coherence of the quantum state itself clearly, but also simplifies the measurement procedure by avoiding the optimization procedure of distance measure.