Quaternionic Quantum Dynamics on Complex Hilbert Spaces

Details Quaternionic Quantum Dynamics on Complex Hilbert Spaces Quaternionic Quantum Dynamics on Complex Hilbert Spaces

2011-03-18

arxiv.org/abs/1103.3547v1

Physics

Quantum Physics

5 pages

Scientific paper

We consider a quaternionic quantum formalism for the description of quantum states and quantum dynamics. We prove that generalized quantum measurements on physical systems in quaternionic quantum theory can be simulated by usual quantum measurements with positive operator valued measures on complex Hilbert spaces. Furthermore, we prove that quaternionic quantum channels can be simulated by completely positive trace preserving maps on complex matrices. These novel results map all quaternionic quantum processes to algorithms in usual quantum information theory.

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