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Unified collision model of coherent and measurement-based quantum feedback

Harwood, Alfred; Brunelli, Matteo; Serafini, Alessio; (2023) Unified collision model of coherent and measurement-based quantum feedback. Physical Review A , 108 (4) , Article 042413. 10.1103/PhysRevA.108.042413. Green open access

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Abstract

We introduce a general framework, based on collision models and discrete completely positive maps, to describe on an equal footing coherent and measurement-based feedback control of quantum mechanical systems. We apply our framework to prominent tasks in quantum control, ranging from cooling to Hamiltonian control. Unlike other proposed comparisons, where coherent feedback always proves superior, we find that either measurements or coherent manipulations of the controller can be advantageous depending on the task at hand. Measurement-based feedback is typically superior in cooling, while coherent feedback is better at assisting quantum operations. Furthermore, we show that both coherent and measurement-based feedback loops allow one to simulate arbitrary Hamiltonian evolutions, and discuss their respective effectiveness in this regard.

Type: Article
Title: Unified collision model of coherent and measurement-based quantum feedback
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.108.042413
Publisher version: http://dx.doi.org/10.1103/physreva.108.042413
Language: English
Additional information: © 2024 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10187827
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