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arXiv · 1303.3320

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

Luis A. Duffaut Espinosa·Z. Miao·I. R. Petersen·V. Ugrinovskii·M. R. James
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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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Luis A. Duffaut Espinosa, Z. Miao, I. R. Petersen, V. Ugrinovskii, M. R. James. 2013-03-14. On the preservation of commutation and anticommutation relations of N-level quantum systems. https://arxiv.org/abs/1303.3320

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