Universal Method to Estimate Quantum Coherence

Abstract

Coherence is a defining property of quantum theory that accounts for quantum advantage in many quantum information tasks. Although many coherence quantifiers have been introduced in various contexts, the lack of efficient methods to estimate them restricts their applications. In this paper, we tackle this problem by proposing one universal method to provide measurable bounds for most current coherence quantifiers. Our method is motivated by the observation that the distance between the state of interest and its diagonal parts in reference basis, which lies at the heart of the coherence quantifications, can be readily estimated by disturbance effect and uncertainty of the reference measurement. Thus, our method of bounding coherence provides a feasible and broadly applicable avenue for detecting coherence, facilitating its further practical applications.

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• Witnessing quantum coherence with prior knowledge of observables
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Coherence via reiterated beam splitting
• Scalable protocol to coherence estimation from scarce data: Theory and experiment
• Impact of quadrature measurement on quantum coherence
• Uncertainty-disturbance relations and applications