# Energy-temperature uncertainty relation in quantum thermodynamics

@article{Miller2018EnergytemperatureUR, title={Energy-temperature uncertainty relation in quantum thermodynamics}, author={Harry J. D. Miller and Janet Anders}, journal={Nature Communications}, year={2018}, volume={9} }

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions with the environment. Here we include such interactions and, using quantum estimation theory, derive a generalised thermodynamic uncertainty relation valid for classical and quantum systems at all coupling strengths. We show that the non-commutativity between…

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