1303.3320 (Luis A. Duffaut Espinosa et al.)

On the preservation of commutation and anticommutation relations of
N-level quantum systems    [PDF]

Luis A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii, M. R. James

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.

View original: http://arxiv.org/abs/1303.3320