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The quantum reference frames program is based on the idea that reference frames should be treated as quantum physical systems. In this work, we combine these insights with the emphasis on operationality, understood as refraining from…

Quantum Physics · Physics 2023-09-06 Jan Głowacki

Based on a recent relational formulation of quantum reference frame transformations, especially with a case of quantum spatial translations in particular, we analyzed how the `value' of an observable for a fixed state change. That is the…

Quantum Physics · Physics 2021-12-09 Otto C. W. Kong

Quantum reference frame transformations have been proposed to provide a means by which to translate descriptions of quantum systems relative to each other. At present, there are several differing frameworks for describing quantum reference…

Quantum Physics · Physics 2025-09-29 Esteban Castro-Ruiz , Thomas D. Galley , Leon Loveridge

A fully relational quantum theory necessarily requires an account of changes of quantum reference frames, where quantum reference frames are quantum systems relative to which other systems are described. By introducing a relational…

Quantum Physics · Physics 2020-12-02 Anne-Catherine de la Hamette , Thomas D. Galley

In physics, every observation is made with respect to a frame of reference. Although reference frames are usually not considered as degrees of freedom, in all practical situations it is a physical system which constitutes a reference frame.…

Quantum Physics · Physics 2019-02-07 Flaminia Giacomini , Esteban Castro-Ruiz , Časlav Brukner

Under the principle that quantum mechanical observables are invariant under relevant symmetry transformations, we explore how the usual, non-invariant quantities may capture measurement statistics. Using a relativisation mapping, viewed as…

Quantum Physics · Physics 2017-04-05 Leon Loveridge , Paul Busch , Takayuki Miyadera

Symmetries are a central concept in our understanding of physics. In quantum theories, a quantum reference frame (QRF) can be used to distinguish between observables related by a symmetry. The framework of operational QRFs provides a means…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Daan W. Janssen

We propose that observables in quantum theory are properly understood as representatives of symmetry-invariant quantities relating one system to another, the latter to be called a reference system. We provide a rigorous mathematical…

Quantum Physics · Physics 2018-03-14 Leon Loveridge , Takayuki Miyadera , Paul Busch

It is mandatory to know how to operationally define and translate a reference frame into mathematics, in order that a physical interpretation of theory calculations in terms of observational data is possible. The situation is particularly…

Quantum Physics · Physics 2026-03-05 Thomas Thiemann

The topic of quantum reference frames (QRFs) has attracted a great deal of attention in the recent literature. Potentially, the correct description of such frames is important for both the technological applications of quantum mechanics and…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Matthew J. Lake , Marek Miller

In standard quantum mechanics, reference frames are treated as abstract entities. We can think of them as idealized, infinite-mass subsystems which decouple from the rest of the system. In nature, however, all reference frames are realized…

Quantum Physics · Physics 2023-08-30 Viktor Zelezny

Recent advances in our understanding of foundations of quantum mechanics have shown that information can be made objective through quantum states. Such objectification processes, predicted e.g. in a variety of quantum open systems, must…

Quantum Physics · Physics 2025-06-09 Rafał Ćwiek , Jarosław K. Korbicz

We find a necessary condition for subsystems to become entangled after a quantum reference frame transformation. By distinguishing between quantum systems suitable to act as reference frames and physical systems described relative to these…

Quantum Physics · Physics 2025-12-24 T. Rick Perche , Natália Salomé Móller , Guilherme Franzmann

In the context of constrained quantum mechanics, reference systems are used to construct relational observables that are invariant under the action of the symmetry group. Upon measurement of a relational observable, the reference system…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Girelli , David Poulin

We present a theory of "quantum references", similar to lenses in classical functional programming, that allow to point to a subsystem of a larger quantum system, and to mutate/measure that part. Mutable classical variables, quantum…

Logic in Computer Science · Computer Science 2024-07-08 Dominique Unruh

We consider the process of changing reference frames in the case where the reference frames are quantum systems. We find that, as part of this process, decoherence is necessarily induced on any quantum system described relative to these…

Quantum Physics · Physics 2014-05-23 Matthew C. Palmer , Florian Girelli , Stephen D. Bartlett

In physical experiments, reference frames are standardly modelled through a specific choice of coordinates used to describe the physical systems, but they themselves are not considered as such. However, any reference frame is a physical…

Quantum Physics · Physics 2021-12-01 Marion Mikusch , Luis C. Barbado , Časlav Brukner

A quantum frame is defined by a material object subject to the laws of quantum mechanics. The present paper studies the relations between quantum frames, which in the classical case are described by elements of the Poincare' group. The…

General Relativity and Quantum Cosmology · Physics 2011-08-17 M. Toller

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…

Quantum Physics · Physics 2018-05-30 Sandu Popescu , Ana Belén Sainz , Anthony J. Short , Andreas Winter

Physical observation is made relative to a reference frame which is essentially a quantum system. Thus, a quantum system must be described relative to a quantum reference frame (QRF). Further requirements on QRF include using only…

Quantum Physics · Physics 2020-07-02 Jianhao M. Yang
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