Imperial College London


Faculty of Natural SciencesDepartment of Physics

Professor of Quantum Physics



+44 (0)20 7594 7863t.rudolph Website




Blackett LaboratorySouth Kensington Campus






BibTex format

author = {Lostaglio, M and Korzekwa, K and Jennings, D and Rudolph, T},
doi = {10.1103/PhysRevX.5.021001},
journal = {Physical Review X},
title = {Quantum coherence, time-translation symmetry, and thermodynamics},
url = {},
volume = {5},
year = {2015}

RIS format (EndNote, RefMan)

AB - The first law of thermodynamics imposes not just a constraint on the energy content of systems in extreme quantum regimes but also symmetry constraints related to the thermodynamic processing of quantum coherence. We show that this thermodynamic symmetry decomposes any quantum state into mode operators that quantify the coherence present in the state. We then establish general upper and lower bounds for the evolution of quantum coherence under arbitrary thermal operations, valid for any temperature. We identify primitive coherence manipulations and show that the transfer of coherence between energy levels manifests irreversibility not captured by free energy. Moreover, the recently developed thermomajorization relations on block-diagonal quantum states are observed to be special cases of this symmetry analysis.
AU - Lostaglio,M
AU - Korzekwa,K
AU - Jennings,D
AU - Rudolph,T
DO - 10.1103/PhysRevX.5.021001
PY - 2015///
SN - 2160-3308
TI - Quantum coherence, time-translation symmetry, and thermodynamics
T2 - Physical Review X
UR -
UR -
VL - 5
ER -