Relativistic chiral qubits, their time evolution, and correlations

Jakub Rembieliński and Paweł Caban
Phys. Rev. A 99, 022320 – Published 20 February 2019

Abstract

We introduce and discuss the concept of chiral relativistic qubit as an irreducible amount of quantum information related to a one-half spin relativistic chiral elementary system (carrier particle). We propose a Lorentz-covariant time evolution of the qubit which on the level of the density matrix is unitary. Next we investigate behavior of the Bloch vector as a function of time during the relativistic uniformly accelerated motion of the carrier particle. In particular, we select the same special evolutions which correspond to the hyperbolic, rotational, and structurally unstable motion. Finally, we consider two-qubit systems. We extend the proposed Lorentz-covariant and unitary evolution on this case in a way preserving tensor product structure of the two-particle space of states. We also discuss a correlation function in an Einstein-Podolsky-Rosen type experiment with uniformly accelerating particles; as an example we calculate correlations in the evolving Bell state.

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  • Received 16 August 2018

DOI:https://doi.org/10.1103/PhysRevA.99.022320

©2019 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Jakub Rembieliński* and Paweł Caban

  • Department of Theoretical Physics, Faculty of Physics and Applied Informatics, University of Lodz Pomorska 149/153, 90-236 Łódź, Poland

  • *jaremb@uni.lodz.pl
  • P.Caban@merlin.phys.uni.lodz.pl

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Issue

Vol. 99, Iss. 2 — February 2019

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