Thermodynamic resource theories, non-commutativity and maximum entropy principles

2015/11/30 by Matteo Lostaglio, David Jennings, Terry Rudolph · 5 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Commutative property #Entropy (arrow of time) #Physics #Pure mathematics #Quantum many-body systems #Statistical Mechanics and Entropy #Statistical physics #Theoretical physics #Thermodynamics #quant-ph

paper · pdf · doi:10.1088/1367-2630/aa617f

published as New J. Phys. 19 043008 (2017) · 11 pages, 3 figures, published version

openalex publication_date 2017/02/20 · arxiv created 2017/04/07 · arxiv updated 2017/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We discuss some features of thermodynamics in the presence of multiple conserved quantities.We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different 'currencies'.We then show how the maximum entropy and complete passivity approaches give different answers in the presence of multiple observables.We discuss how this seems to prevent current resource theories from fully capturing thermodynamic aspects of non-commutativity.

Citations

• Extractable Work from Correlations
• Information Theory and Statistical Mechanics
• Reference frames, superselection rules, and quantum information
• Information and Exponential Families

Cited by

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• Resource theory for work and heat
• Thermodynamics as a Consequence of Information Conservation
• Quantum resource theories