Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 376, Issue 2123, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsta.2018.0111
Keywords
conservation laws; reference frames; quantum thermodynamics
Categories
Funding
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Research, Innovation and Science
- ERC Advanced Grant NLST
- Institute for Theoretical Studies, ETH Zurich
- Spanish MINECO [FIS2016-86681-P]
- FEDER funds
- Generalitat de Catalunya [2017-SGR-1127]
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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 realization. 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 set-ups with multiple, possibly non-commuting conserved quantities, which allows for the definition of explicit batteries in such cases. This article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.
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