Year: 2025
Type: article
Abstract: Recently there has been much effort in developing a quantum generalisation of reference frame transformations. Despite important progress, a complete understanding of their principles is still lacking. Here we derive quantum reference frame transformations for a broad range of symmetry groups from first principles, using only standard quantum theory. Our framework, naturally based on incoherent rather than coherent group averaging, yields reversible transformations that only depend on the reference frames and system of interest. We find more general transformations than those studied so far, which are valid only in a restricted subspace. Our framework contains additional degrees of freedom in the form of an "extra particle", which carries information about the quantum features of reference frame states. We study the centrally extended Galilei group specifically, highlighting key differences from previous proposals.
Source: Communications Physics
Authors: Esteban Castro-Ruiz, Ognyan Oreshkov
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,990
Funders: National Science Foundation, John Templeton Foundation, Foundational Questions Institute, National Centres of Competence in Research SwissMAP, European Commission, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Austrian Science Fund, Fonds De La Recherche Scientifique - FNRS
Awards: Information-theoretic limits to time measurements, G2831308664, G3984144614, G4465348434, G5082131548, The Quantum Information Structure of Spacetime (QISS), Second Phase, Testing the Large-Scale Limit of Quantum Mechanics, Geschwisterlichkeit als Liebesmodell bei Jean Paul, Adalbert Stifter und in intertextuellen Aktualisierungen., The Quantum Information Structure of Spacetime (QISS)
OpenAlex ID: W3210530727