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Article: Quantum Uncertainty Principles for Measurements with Interventions

TitleQuantum Uncertainty Principles for Measurements with Interventions
Authors
Issue Date12-Jun-2023
PublisherAmerican Physical Society
Citation
Physical Review Letters, 2023, v. 130, n. 24 How to Cite?
Abstract

Heisenberg's uncertainty principle implies fundamental constraints on what properties of a quantum system we can simultaneously learn. However, it typically assumes that we probe these properties via measurements at a single point in time. In contrast, inferring causal dependencies in complex processes often requires interactive experimentation-multiple rounds of interventions where we adaptively probe the process with different inputs to observe how they affect outputs. Here, we demonstrate universal uncertainty principles for general interactive measurements involving arbitrary rounds of interventions. As a case study, we show that they imply an uncertainty trade-off between measurements compatible with different causal dependencies.


Persistent Identifierhttp://hdl.handle.net/10722/331492
ISSN
2023 Impact Factor: 8.1
2023 SCImago Journal Rankings: 3.040
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorXiao, Yunlong-
dc.contributor.authorYang, Yuxiang-
dc.contributor.authorWang, Ximing-
dc.contributor.authorLiu, Qing-
dc.contributor.authorGu, Mile-
dc.date.accessioned2023-09-21T06:56:18Z-
dc.date.available2023-09-21T06:56:18Z-
dc.date.issued2023-06-12-
dc.identifier.citationPhysical Review Letters, 2023, v. 130, n. 24-
dc.identifier.issn0031-9007-
dc.identifier.urihttp://hdl.handle.net/10722/331492-
dc.description.abstract<p>Heisenberg's uncertainty principle implies fundamental constraints on what properties of a quantum system we can simultaneously learn. However, it typically assumes that we probe these properties via measurements at a single point in time. In contrast, inferring causal dependencies in complex processes often requires interactive experimentation-multiple rounds of interventions where we adaptively probe the process with different inputs to observe how they affect outputs. Here, we demonstrate universal uncertainty principles for general interactive measurements involving arbitrary rounds of interventions. As a case study, we show that they imply an uncertainty trade-off between measurements compatible with different causal dependencies.<br></p>-
dc.languageeng-
dc.publisherAmerican Physical Society-
dc.relation.ispartofPhysical Review Letters-
dc.titleQuantum Uncertainty Principles for Measurements with Interventions-
dc.typeArticle-
dc.identifier.doi10.1103/PhysRevLett.130.240201-
dc.identifier.scopuseid_2-s2.0-85163681634-
dc.identifier.volume130-
dc.identifier.issue24-
dc.identifier.eissn1079-7114-
dc.identifier.isiWOS:001022077900002-
dc.identifier.issnl0031-9007-

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