Control of Quantum Systems Despite Feedback Delay
Kenji Kashima, Naoki Yamamoto
TL;DR
This paper develops a delay-dependent stability criterion for quantum feedback control systems, including quantum spin systems, and demonstrates a stabilizing control law for quantum spin-1/2 systems with feedback delays.
Contribution
It introduces a semi-algebraic approach to stability analysis that accounts for feedback delays in nonlinear quantum systems, providing a practical control law.
Findings
Established a delay-dependent stability criterion for quantum systems.
Designed a globally stabilizing control law for quantum spin-1/2 systems.
Validated the approach through theoretical analysis and control law derivation.
Abstract
Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this paper we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Advanced Thermodynamics and Statistical Mechanics