Quantum Reference Frames and Their Applications to Thermodynamics

Abstract

We construct a quantum reference frame, which can be used to approximately implement arbitrary unitary transformations on a system in the presence of any number of extensive conserved quantities, by absorbing any back action provided by the conservation laws. Thus, the reference frame at the same time acts as a battery for the conserved quantities. Our construction features a physically intuitive, clear and implementation-friendly realisation. Indeed, the reference system is composed of the same types of subsystems as the original system and is finite for any desired accuracy. In addition, the interaction with the reference frame can be broken down into two-body terms coupling the system to one of the reference frame subsystems at a time. We apply this construction to quantum thermodynamic setups with multiple, possibly non-commuting conserved quantities, which allows for the definition of explicit batteries in such cases.

arXiv comment8+4 pages, comments are welcome!

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Cited by in corpus (19)

• Quantum reference frames for general symmetry groups
• Restrictions on realizable unitary operations imposed by symmetry and locality
• Non-Abelian eigenstate thermalization hypothesis
• Noncommuting conserved quantities in quantum many-body thermalization
• Non-Abelian symmetry can increase entanglement entropy
• Experimental observation of thermalization with noncommuting charges
• The first law of general quantum resource theories
• How to build Hamiltonians that transport noncommuting charges in quantum thermodynamics
• Reference frames which separately store non-commuting conserved quantities
• Post-selection and quantum energetics
• Quantum resource covariance
• Macroscopic Thermodynamic Reversibility in Quantum Many-Body Systems
• Thermodynamic work cost of quantum estimation protocols
• Resource theory of quantum thermodynamics: Thermal operations and Second Laws
• Foundations of quantum mechanics and their impact on contemporary society
• Resource theory of heat and work with non-commuting charges
• Blurred quantum Darwinism across quantum reference frames
• Asymptotic Reversibility of Thermal Operations for Interacting Quantum Spin Systems via Generalized Quantum Stein's Lemma
• Searching for a physical description relative to a quantum system