Thermodynamic Approach to Quantifying Incompatible Instruments
arXiv:2402.13080 · doi:10.1103/PhysRevLett.133.170401
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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