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Quantum Machines: Measurement and Control of Engineered Quantum SystemsLecture Notes of the Les Houches Summer School: Volume 96, July 2011$
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Michel Devoret, Benjamin Huard, Robert Schoelkopf, and Leticia F. Cugliandolo

Print publication date: 2014

Print ISBN-13: 9780199681181

Published to Oxford Scholarship Online: September 2014

DOI: 10.1093/acprof:oso/9780199681181.001.0001

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Real-time feedback control of quantum optical input-output systems

Real-time feedback control of quantum optical input-output systems

Chapter:
(p.3) 1 Real-time feedback control of quantum optical input-output systems
Source:
Quantum Machines: Measurement and Control of Engineered Quantum Systems
Author(s):

H. Mabuchi

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199681181.003.0001

This chapter discusses a novel aspect of quantum control, namely quantum feedback. It explains the crucial distinction between measurement-based feedback and autonomous feedback. In the former, a detector performs a measurement of the variable to be controlled, and information passes from the quantum system to a classical system, which processes it to produce a correction signal sent to an actuator acting back on the quantum system. In the latter, the detector-processor-actuator part of the controller is another quantum system coupled to the controlled system, and no information need pass through classical channels. The chapter treats the useful formalism of the quantum stochastic master equation, a basic element of knowledge essential to the detailed understanding of measurement-based feedback, and the design of the filters for the corresponding controller. The autonomous aspect of quantum feedback is illustrated by a discussion of analog, continuous error correction of a qubit by quantum optics elements.

Keywords:   quantum feedback, quantum optics, measurement-based feedback, autonomous feedback, quantum stochastic master equation, error correction

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