4.7 Review

An introductory review of the resource theory approach to thermodynamics

Journal

REPORTS ON PROGRESS IN PHYSICS
Volume 82, Issue 11, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1361-6633/ab46e5

Keywords

quantum thermodynamics; resource theories; quantum coherence; thermal operations; thermomajorization; asymmetry; single-shot

Funding

  1. European Union [H2020-MSCA-IF-2017, GA794842]
  2. Spanish MINECO [SEV-2015-0522, QIBEQI FIS2016-80773-P]
  3. Fundacio Cellex
  4. Generalitat de Catalunya (CERCA Programme)
  5. Generalitat de Catalunya [SGR 875]

Ask authors/readers for more resources

I give a self-contained introduction to the resource theory approach to quantum thermodynamics. I will introduce in an elementary manner the technical machinery necessary to unpack and prove the core statements of the theory. The topics covered include the so-called 'many second laws of thermodynamics', thermo-majorisation and symmetry constraints on the evolution of quantum coherence. Among the elementary applications, I explicitly work out the bounds on deterministic work extraction and formation, discuss the complete solution of the theory for a single qubit and present the irreversibility of coherence transfers. The aim is to facilitate the task of those researchers interested in engaging and contributing to this topic, presenting scope and motivation of its core assumptions and discussing the relation between the resource theory and complementary approaches.

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