Framework for Learning and Control in the Classical and Quantum Domains

Fuente: arXiv
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Autori principali: Vedaie, Seyed Shakib, Dalal, Archismita, Páez, Eduardo J., Sanders, Barry C.
Natura: Preprint
Pubblicazione: 2023
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author Vedaie, Seyed Shakib
Dalal, Archismita
Páez, Eduardo J.
Sanders, Barry C.
author_facet Vedaie, Seyed Shakib
Dalal, Archismita
Páez, Eduardo J.
Sanders, Barry C.
contents Control and learning are key to technological advancement, both in the classical and quantum domains, yet their interrelationship is insufficiently clear in the literature, especially between classical and quantum definitions of control and learning. We construct a framework that formally relates learning and control, both classical and quantum, to each other, with this formalism showing how learning can aid control. Furthermore, our framework helps to identify interesting unsolved problems in the nexus of classical and quantum control and learning and help in choosing tools to solve problems. As a use case, we cast the well-studied problem of adaptive quantum-enhanced interferometric-phase estimation as a supervised learning problem for devising feasible control policies. Our unification of these fields relies on diagrammatically representing the state of knowledge, which elegantly summarizes existing knowledge and exposes knowledge gaps.
format Preprint
id arxiv_https___arxiv_org_abs_2307_04256
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Framework for Learning and Control in the Classical and Quantum Domains
Vedaie, Seyed Shakib
Dalal, Archismita
Páez, Eduardo J.
Sanders, Barry C.
Quantum Physics
Control and learning are key to technological advancement, both in the classical and quantum domains, yet their interrelationship is insufficiently clear in the literature, especially between classical and quantum definitions of control and learning. We construct a framework that formally relates learning and control, both classical and quantum, to each other, with this formalism showing how learning can aid control. Furthermore, our framework helps to identify interesting unsolved problems in the nexus of classical and quantum control and learning and help in choosing tools to solve problems. As a use case, we cast the well-studied problem of adaptive quantum-enhanced interferometric-phase estimation as a supervised learning problem for devising feasible control policies. Our unification of these fields relies on diagrammatically representing the state of knowledge, which elegantly summarizes existing knowledge and exposes knowledge gaps.
title Framework for Learning and Control in the Classical and Quantum Domains
topic Quantum Physics
url https://arxiv.org/abs/2307.04256