Discontinuous quantum evolutions in the presence of closed timelike curves
Quantum Physics
2010-05-12 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We consider Deutsch's computational model of a quantum system evolving in a spacetime containing closed timelike curves. Although it is known that this model predicts non-linear and non-unitary evolutions of the system, we demonstrate that it also gives rise to evolutions which are a discontinuous function of the input state. These discontinuities persist for the most natural modifications of Deutsch's approach.
Keywords
Cite
@article{arxiv.0908.2655,
title = {Discontinuous quantum evolutions in the presence of closed timelike curves},
author = {Richard DeJonghe and Kimberly Frey and Tom Imbo},
journal= {arXiv preprint arXiv:0908.2655},
year = {2010}
}
Comments
v2: Some corrections and clarifications to the "Discontinuities" section. No results or conclusions are changed. v3: Minor changes. v4: Final version published in Phys. Rev. D.