Purification of impure density operators and the recovery of entanglements
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, F. Zaccaria
Abstract
The need to retain the relative phases in quantum mechanics implies an addition law parametrized by a phase of two density operators required for the purification of a density matrix. This is shown with quantum tomography and the Wigner function. Entanglement is determined in terms of phase dependent multiplication.
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