Unitary Solution to a Quantum Gravity Information Paradox
arXiv:0708.0449 · doi:10.1103/PhysRevA.76.012336
Abstract
We consider a toy model of the interaction of a qubit with an exotic space-time containing a time-like curve. Consistency seems to require that the global evolution of the qubit be non-unitary. Given that quantum mechanics is globally unitary, this then is an example of a quantum gravity information paradox. However, we show that a careful analysis of the problem in the Heisenberg picture reveals an underlying unitarity, thus resolving the paradox.
5 pages
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- Mixedness and Entanglement in the presence of Localized Closed Timelike Curves