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Open Quantum Systems Decoherence

Control of Quantum Systems Despite Feedback Delay

arXiv

Authors: Kenji Kashima, Naoki Yamamoto

Year

2007

Paper ID

49127

Status

Preprint

Abstract Read

~2 min

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Citations

N/A

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.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2007 reference point for readers tracking recent quantum research.
Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.1339 [2] arXiv https://arxiv.org/abs/0709.1339 [3] Publisher https://arxiv.org/abs/0709.1339

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