On the preservation of commutation and anticommutation relations of N-level quantum systems
Optimization and Control
2013-03-15 v1 Systems and Control
Quantum Physics
Abstract
The goal of this paper is to provide conditions under which a quantum stochastic differential equation (QSDE) preserves the commutation and anticommutation relations of the SU(n) algebra, and thus describes the evolution of an open n-level quantum system. One of the challenges in the approach lies in the handling of the so-called anomaly coefficients of SU(n). Then, it is shown that the physical realizability conditions recently developed by the authors for open n-level quantum systems also imply preservation of commutation and anticommutation relations.
Keywords
Cite
@article{arxiv.1303.3320,
title = {On the preservation of commutation and anticommutation relations of N-level quantum systems},
author = {Luis A. Duffaut Espinosa and Z. Miao and I. R. Petersen and V. Ugrinovskii and M. R. James},
journal= {arXiv preprint arXiv:1303.3320},
year = {2013}
}