Journal
CONTEMPORARY PHYSICS
Volume 49, Issue 6, Pages 435-448Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00107510802601781
Keywords
quantum feedback control; verification theorems; viscosity solutions
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While feedback control has many applications in quantum systems, finding optimal control protocols for this task is generally challenging. So-called 'verification theorems' and 'viscosity solutions' provide two useful tools for this purpose: together they give a simple method to check whether any given protocol is optimal, and provide a numerical method for finding optimal protocols. While treatments of verification theorems usually use sophisticated mathematical language, this is not necessary. In this article we give a simple introduction to feedback control in quantum systems, and then describe verification theorems and viscosity solutions in simple language. We also illustrate their use with a concrete example of current interest.
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