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The standard Lorentz transformations establish a relationship between the space-time coordinates of the same event when detected from two inertial reference frames I and I' in the standard arrangement. This event is characterized by the…

General Physics · Physics 2008-08-04 Bernhard Rothenstein , Stefan Popescu

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

General Mathematics · Mathematics 2024-04-10 Satyanad Kichenassamy

We consider the general form of the linear transformation for point rotation coordinate frames. The frames have the rotation axis at every point. In the transformation the frequency of one frame relative to another is not equivalent to the…

Optics · Physics 2007-05-23 Boris V. Gisin

We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as…

Quantum Physics · Physics 2007-05-23 Paul M. Alsing , Gerard J. Milburn

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time…

High Energy Physics - Theory · Physics 2007-05-23 S. N. Mayburov

The entanglement between spins of a pair of particles may change because the spin and momentum become mixed when viewed by a moving observer [R.M. Gingrich and C. Adami, Phys. Rev. Lett. 89, 270402 (2002)]. In this paper, it is shown that,…

Quantum Physics · Physics 2007-05-23 Hui Li , Jiangfeng Du

Electromagnetic quantities at a spacetime point have tensor Lorentz transformations between relatively-moving inertial frames. However, since the Lorentz transformation of time between inertial frames depends upon both the time and space…

Classical Physics · Physics 2024-09-10 Timothy H. Boyer

In this paper the analogues of the Lorentz transformations for non-inertial reference frames have been obtained. A common case when the movement speed of one coordinate frame in relation to another one can have time derivatives of higher…

General Physics · Physics 2016-08-24 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva

We propose quantum cryptographic protocols to secretly communicate a reference frame- unspeakable information in the sense it cannot be encoded into a string of bits. Two distant parties can secretly align their Cartesian axes by exchanging…

Quantum Physics · Physics 2008-10-22 Giulio Chiribella , Lorenzo Maccone , Paolo Perinotti

Recently, there has been increased interest in understanding entanglement and quantum communication in black hole spacetimes and in using quantum information techniques to address questions in gravity. Studies on relativistic entanglement…

Quantum Physics · Physics 2011-06-02 E. Martin-Martinez

In order to understand the characteristics of quantum entanglement of massive particles under Lorentz boost, we first introduce a relevant relativistic spin observable, and evaluate its expectation values for the Bell states under Lorentz…

Quantum Physics · Physics 2016-09-08 Daeho Lee , Ee Chang-Young

The Lorentz transformation is used to analyse space and time coordinates corresponding to two spatially-separated clocks in the same inertial frame. The time dilatation effect is confirmed, but not `relativity of simultaneity' or…

General Physics · Physics 2009-09-01 J. H. Field

Heisenberg's uncertainty relation means that one observer cannot know an exact position and velocity for another (finite mass) observer. By contrast, the Poincare transformation of classical special relativity assumes that one observer…

General Physics · Physics 2007-05-23 M. Dance

A general form of a two-qubit system is obtained under the effect of Lorentz transformation. We investigate extensively some important classes in the context of quantum information. It is shown Lorentz transformation causes a decay of…

Quantum Physics · Physics 2015-06-18 N. Metwally , H. Eleuch , M. Abdel-Aty

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

In this study, we investigate the effect of the Lorentz transformation on the measures of quantum coherence in an entangled atomic system. Here, we consider the effect of this relativistic boosts on two-particle entangled generalized…

Quantum Physics · Physics 2025-11-26 Arnab Mukherjee , Soham Sen , Sunandan Gangopadhyay

Quantum states of angular momentum and spin generally are not invariant under rotations of the reference frame. Therefore, they can be used as a resource of relative orientation, which is encoded in the asymmetry of the state under…

Quantum Physics · Physics 2025-10-09 Fynn Otto , Konrad Szymański

We consider the dynamics of a quantum directional reference frame undergoing repeated interactions. We first describe how a precise sequence of measurement outcomes affects the reference frame, looking at both the case that the measurement…

Quantum Physics · Physics 2010-10-12 Mehdi Ahmadi , David Jennings , Terry Rudolph

We introduce a relativistic version of quantum encryption protocol by considering two inertial observers who wish to securely transmit quantum information encoded in a free scalar quantum field state forming Minkowski particles. In a…

Quantum Physics · Physics 2007-05-23 Kamil Bradler

We describe the spin and momentum degrees of freedom of a system of two massive spin--$\tfrac{1}{2}$ particles as a 4 qubit system. Then we explicitly show how the entanglement changes between different partitions of the qubits, when…

Quantum Physics · Physics 2012-02-01 Nicolai Friis , Reinhold A. Bertlmann , Marcus Huber , Beatrix C. Hiesmayr