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Reference frames are of special importance in physics. They are usually considered to be idealized entities. However, in most situations, e.g. in laboratories, physical processes are described within reference frames constituted by physical…

Quantum Physics · Physics 2020-06-26 Jan Tuziemski

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

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

Reference frames are used to parameterize measurements of physical effects, but since their practical realization uses material objects, they may affect observations performed in a combined quantum state of the measured system together with…

Quantum Physics · Physics 2025-07-14 Martin Bojowald , Luis Martinez

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

Quantum reference frames are needed in quantum theory for much the same reasons that reference frames are in classical theories: to manifest invariance in line with fundamental relativity principles and to provide a basis for the definition…

Quantum Physics · Physics 2025-04-02 Titouan Carette , Jan Głowacki , Leon Loveridge

The minimal ingredients to describe a quantum system are a Hamiltonian, an initial state, and a preferred tensor product structure that encodes a decomposition into subsystems. We explore a top-down approach in which the subsystems emerge…

Quantum Physics · Physics 2025-08-19 Nicolas Loizeau , Dries Sels

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

Any Hilbert space with composite dimension can be factorized into a tensor product of smaller Hilbert spaces. This allows to decompose a quantum system into subsystems. We propose a simple tractable model for a constructive study of…

Quantum Physics · Physics 2021-04-27 Vladimir V. Kornyak

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

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 offer a systematic account of decomposition of quantum systems into parts. Different decompositions (structures) are mutually linked via the proper linear canonical transformations. Different kinds of structures, as well as their…

Quantum Physics · Physics 2014-06-03 Jasmina Jeknic-Dugic , Momir Arsenijevic , Miroljub Dugic

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

We show that networks of quantum frames of reference, in which one frame may be used to produce multiple other frames that in their turn prepare systems which may interact with one another, have counterintuitive properties that make…

Quantum Physics · Physics 2026-03-27 Daniel Collins , Carolina Moreira Ferrera , Ismael L. Paiva , Sandu Popescu

We investigate the physics of quantum reference frames. Specifically, we study several simple scenarios involving a small number of quantum particles, whereby we promote one of these particles to the role of a quantum observer and ask what…

Quantum Physics · Physics 2012-02-06 Renato M. Angelo , Nicolas Brunner , Sandu Popescu , Anthony J. Short , Paul Skrzypczyk

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states…

Mathematical Physics · Physics 2014-11-03 Maciej Horowski , Anatol Odzijewicz , Agnieszka Tereszkiewicz

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

A single quantum system, such as a hydrogen atom, can transmit a Cartesian coordinate frame (three axes). For this it has to be prepared in a superposition of states belonging to different irreducible representations of the rotation group.…

Quantum Physics · Physics 2009-11-07 Asher Peres , Petra F. Scudo

We study emerging notions of quantum correlations in compound systems. Based on different definitions of quantumness in individual subsystems, we investigate how they extend to the joint description of a composite system. Especially, we…

Quantum Physics · Physics 2017-06-12 J. Sperling , E. Agudelo , I. A. Walmsley , W. Vogel

Several finite dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined only on restricted…

Quantum Physics · Physics 2008-08-07 Christopher Ferrie , Joseph Emerson
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