Diagnostics of quantum-gate coherences via end-point-measurement statistics

Abstract

Quantum coherence is a central ingredient in quantum physics with several theoretical and technological ramifications. In this work we consider a figure of merit encoding the information on how the coherence generated on average by a quantum gate is affected by unitary errors (coherent noise sources). We provide numerical evidences that such information is well captured by the statistics of local energy measurements on the output states of the gate. These findings are then corroborated by experimental data taken in a quantum optics setting.

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• Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
• Quasiprobabilities in quantum thermodynamics and many-body systems
• Projective measurements can probe non-classical work extraction and time-correlations
• Quantum-state texture and gate identification
• Quantum speed limit for Kirkwood-Dirac quasiprobabilities
• Competition of decoherence and quantum speed limits for quantum-gate fidelity in the Jaynes-Cummings model
• Experimental quantification of quantum coherence for a set of quantum states