Relativistic Quantum Information Theory
Final rept. 1 Jul 2003-30 Jun 2007
CALIFORNIA INST OF TECH PASADENA OFFICE OF SPONSORED RESEARCH
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We have studied the physics of the relative state of quantum detectors that move with respect to each other and their sources, that are accelerated with respect to the source, and that are placed within the gravitational field of a black hole. We outline the general theory of how the entanglement of polarized photons changes under relativistic Lorentz transformations, and have studied quantum information transmission in the presence of a black hole. A description of the accretion of photons by black holes within curved-space quantum field theory has revealed that information is not lost as the photons are absorbed by the black hole because the process of stimulated emission of radiation guarantees that information always stays outside of the event horizon, thus solving the black hole information paradox. We also show that stimulated emission turns a black hole into a nearly optimal quantum cloning device, and calculate the cloning fidelity as a function of the black hole absorption coefficient. Finally, we study stimulated emission for accelerated grey bodies in Rindler space, and formulate a framework for consecutive measurements of the same quantum system that allows for a description of the causal dynamics of quantum systems without reference to a time variable.
- Quantum Theory and Relativity