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arXiv · 0908.2655

Discontinuous quantum evolutions in the presence of closed timelike curves

Richard DeJonghe·Kimberly Frey·Tom Imbo
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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.

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Richard DeJonghe, Kimberly Frey, Tom Imbo. 2009-08-19. Discontinuous quantum evolutions in the presence of closed timelike curves. https://doi.org/10.1103/physrevd.81.087501

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