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.
- Received 16 August 2018
DOI:https://doi.org/10.1103/PhysRevA.99.022320
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