6533b85cfe1ef96bd12bc14e

RESEARCH PRODUCT

Robustness of Coherence: An Operational and Observable Measure of Quantum Coherence

Gerardo AdessoNathaniel JohnstonMarco PianiCarmine NapoliCarmine NapoliMarco CianciarusoMarco CianciarusoThomas R. Bromley

subject

FOS: Physical sciencesGeneral Physics and AstronomyContext (language use)Degree of coherenceExpectation value01 natural sciences010305 fluids & plasmasQuantum stateQuantum mechanics0103 physical sciencesStatistical physics010306 general physicsQCMathematical PhysicsQuantum PhysicsQuantum discordMathematical Physics (math-ph)Coherence (statistics)Computational Physics (physics.comp-ph)3. Good healthCondensed Matter - Other Condensed MatterQuantum technologyCoherence theoryQuantum Physics (quant-ph)Physics - Computational PhysicsOther Condensed Matter (cond-mat.other)

description

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it can be recast as the expectation value of a coherence witness operator for any quantum state. The robustness of coherence is evaluated analytically on relevant classes of states, and an efficient semidefinite program that computes it on general states is given. An operational interpretation is finally provided: the robustness of coherence quantifies the advantage enabled by a quantum state in a phase-discrimination task.

https://doi.org/10.1103/physrevlett.116.150502