Performance Bounds for Quantum Control

• URL: http://arxiv.org/abs/2304.03366v1
• Date: Thu, 6 Apr 2023 20:48:51 GMT
• Title: Performance Bounds for Quantum Control
• Authors: Flemming Holtorf, Frank Sch\"afer, Julian Arnold, Christopher Rackauckas, Alan Edelman
• Abstract summary: Quantum feedback controllers often lack performance targets and optimality certificates. We combine quantum filtering theory and moment-sum-of-squares techniques to construct a hierarchy of convex optimization problems.
• Score: 0.06999740786886534
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum feedback controllers often lack performance targets and optimality certificates. We combine quantum filtering theory and moment-sum-of-squares techniques to construct a hierarchy of convex optimization problems that furnish monotonically improving, computable bounds on the best attainable performance for a large class of quantum feedback control problems. We prove convergence of the bounds under technical assumptions and demonstrate the practical utility of our approach by designing certifiably near-optimal controllers for a qubit in a cavity subjected to continuous photon counting and homodyne detection measurements.

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