Thermodynamic resource theories, non-commutativity and maximum entropy principles

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.

11 pages, 3 figures, published version

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• Reference frames, superselection rules, and quantum information
• The resource theory of quantum reference frames: manipulations and monotones
• The thermodynamic meaning of negative entropy
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• Thermodynamics of quantum systems with multiple conserved quantities
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• Fundamental work cost of quantum processes
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• Non-Abelian Quantum Transport and Thermosqueezing Effects
• Experimental observation of thermalization with noncommuting charges
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• Role of Quantum Coherence in Thermodynamics
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• Optimal performance of generalized heat engines with finite-size baths of arbitrary multiple conserved quantities beyond i.i.d. scaling
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• Structure of passive states and its implication in charging quantum batteries
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• The geometry of passivity for quantum systems and a novel elementary derivation of the Gibbs state
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• Second law of thermodynamics for batteries with vacuum state
• Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits
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• Theory of Quantum Circuits with Abelian Symmetries
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• Thermodynamic Approach to Quantifying Incompatible Instruments
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• Dynamics of cohering and decohering power under Markovian channels
• Numerical evidence for the non-Abelian eigenstate thermalization hypothesis
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