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Elementary Thermal Operations

delete2018-02-08
delete69
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OA
AI
M
Matteo Lostaglio *
Á
Álvaro M. Alhambra
C
Christopher Perry
DOI:10.22331/q-2018-02-08-52delete
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摘要

摘要

En 中文
To what extent do thermodynamic resource theories capture physically relevant constraints? Inspired by quantum computation, we define a set of elementary thermodynamic gates that only act on 2 energy levels of a system at a time. We show that this theory is well reproduced by a Jaynes-Cummings interaction in rotating wave approximation and draw a connection to standard descriptions of thermalisation. We then prove that elementary thermal operations present tighter constraints on the allowed transformations than thermal operations. Mathematically, this illustrates the failure at finite temperature of fundamental theorems by Birkhoff and Muirhead-Hardy-Littlewood-Polya concerning stochastic maps. Physically, this implies that stronger constraints than those imposed by single-shot quantities can be given if we tailor a thermodynamic resource theory to the relevant experimental scenario. We provide new tools to do so, including necessary and sufficient conditions for a given change of the population to be possible. As an example, we describe the resource theory of the Jaynes-Cummings model. Finally, we initiate an investigation into how our resource theories can be applied to Heat Bath Algorithmic Cooling protocols.
Keyword:
MIXING CHARACTER
2ND LAWS
QUANTUM
PRINCIPLE
EVOLUTION
WORK
MAPS

期刊

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Quantum
IF:
5.4
论文数:
974
被引数:
1.0W

机构

B
barcelona institute of science & technology
学者数:
1.2W
论文数: 9.7K
被引数: 36
I
institut de ciencies fotoniques (icfo)
学者数:
612
论文数: 468
被引数: 4
U
universitat politecnica de catalunya
学者数:
1.9W
论文数: 1.6W
被引数: 17
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