Discontinuous quantum evolutions in the presence of closed timelike curves

Details Discontinuous quantum evolutions in the presence of closed timelike curves Discontinuous quantum evolutions in the presence of closed timelike curves

2009-08-19

arxiv.org/abs/0908.2655v4

Phys.Rev.D81:087501,2010

Physics

Quantum Physics

v2: Some corrections and clarifications to the "Discontinuities" section. No results or conclusions are changed. v3: Minor cha

Scientific paper

10.1103/PhysRevD.81.087501

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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