Thermodynamic Approach to Quantifying Incompatible Instruments

Abstract

We consider a thermodynamic framework to quantify instrument incompatibility via a resource theory subject to thermodynamic constraints. We use the minimal thermalisation time needed to erase incompatibility's signature to measure incompatibility. Unexpectedly, this time value is equivalent to incompatibility advantage in a work extraction task. Hence, both thermalisation time and extractable work can directly quantify instrument incompatibility. Finally, we show that incompatibility signatures must vanish in non-Markovian thermalisation.

5+15 pages, 3 figures

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Cited by in corpus (7)

• Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics
• Unveiling quantum steering by quantum-classical uncertainty complementarity
• Quantum thermodynamic advantage in work extraction from steerable quantum correlations
• Dynamical Landauer principle: Thermodynamic criteria of transmitting classical information
• Complete characterisation of state conversions by work extraction
• Resource theory of interactive quantum instruments
• General quantum resources providing advantages in work-extraction tasks