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arXiv · 0808.1102

Quantum Feedback Control: How to use Verification Theorems and Viscosity Solutions to Find Optimal Protocols

Kurt Jacobs·Alireza Shabani
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Abstract

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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Kurt Jacobs, Alireza Shabani. 2008-12-08. Quantum Feedback Control: How to use Verification Theorems and Viscosity Solutions to Find Optimal Protocols. https://doi.org/10.1080/00107510802601781

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