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

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

2008-08-07

arxiv.org/abs/0808.1102v2

Contemp. Phys. 49, 435 (2008)

Physics

Quantum Physics

12 pages, revtex4

Scientific paper

10.1080/00107510802601781

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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