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

2013/03/14 by Espinosa, Luis A. Duffaut, Miao, Z., Petersen, I. R. +2
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paper · doi:10.48550/arxiv.1303.3320

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.

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