Purification of impure density operators and the recovery of entanglements
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria
TL;DR
This paper introduces a phase-dependent method for purifying impure quantum density operators and recovering entanglement, utilizing quantum tomography and the Wigner function to analyze phase effects.
Contribution
It presents a novel phase-based approach for density matrix purification and entanglement recovery in quantum systems, expanding the understanding of phase roles in quantum state manipulation.
Findings
Phase addition law for density operators demonstrated
Entanglement can be determined through phase-dependent multiplication
Quantum tomography and Wigner function effectively reveal phase effects
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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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Mathematical Dynamics and Fractals · Approximation Theory and Sequence Spaces