Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384389713> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4384389713 abstract "In quantum metrology, one of the major applications of quantum technologies, the ultimate precision of estimating an unknown parameter is often stated in terms of the Cram'er-Rao bound. Yet, the latter is no longer guaranteed to carry an operational meaning in the regime where few measurement samples are obtained, which we illustrate through a simple example. We instead propose to quantify the quality of a metrology protocol by the probability of obtaining an estimate with a given accuracy. This approach, which we refer to as probably approximately correct (PAC) metrology, ensures operational significance in the finite-sample regime. The accuracy guarantees hold for any value of the unknown parameter, unlike the Cram'er-Rao bound which assumes it is approximately known. We establish a strong connection to multi-hypothesis testing with quantum states, which allows us to derive an analogue of the Cram'er-Rao bound which contains explicit corrections relevant to the finite-sample regime. We further study the asymptotic behavior of the success probability of the estimation procedure for many copies of the state and apply our framework to the example task of phase estimation with an ensemble of spin-1/2 particles. Overall, our operational approach allows the study of quantum metrology in the finite-sample regime and opens up a plethora of new avenues for research at the interface of quantum information theory and quantum metrology." @default.
- W4384389713 created "2023-07-15" @default.
- W4384389713 creator A5000771982 @default.
- W4384389713 creator A5015485393 @default.
- W4384389713 creator A5016597952 @default.
- W4384389713 creator A5079737237 @default.
- W4384389713 creator A5090586058 @default.
- W4384389713 date "2023-07-12" @default.
- W4384389713 modified "2023-09-25" @default.
- W4384389713 title "Quantum metrology in the finite-sample regime" @default.
- W4384389713 doi "https://doi.org/10.48550/arxiv.2307.06370" @default.
- W4384389713 hasPublicationYear "2023" @default.
- W4384389713 type Work @default.
- W4384389713 citedByCount "0" @default.
- W4384389713 crossrefType "posted-content" @default.
- W4384389713 hasAuthorship W4384389713A5000771982 @default.
- W4384389713 hasAuthorship W4384389713A5015485393 @default.
- W4384389713 hasAuthorship W4384389713A5016597952 @default.
- W4384389713 hasAuthorship W4384389713A5079737237 @default.
- W4384389713 hasAuthorship W4384389713A5090586058 @default.
- W4384389713 hasBestOaLocation W43843897131 @default.
- W4384389713 hasConcept C105795698 @default.
- W4384389713 hasConcept C121332964 @default.
- W4384389713 hasConcept C121864883 @default.
- W4384389713 hasConcept C134306372 @default.
- W4384389713 hasConcept C15706264 @default.
- W4384389713 hasConcept C169699857 @default.
- W4384389713 hasConcept C186468114 @default.
- W4384389713 hasConcept C195766429 @default.
- W4384389713 hasConcept C198531522 @default.
- W4384389713 hasConcept C33923547 @default.
- W4384389713 hasConcept C41008148 @default.
- W4384389713 hasConcept C62520636 @default.
- W4384389713 hasConcept C77553402 @default.
- W4384389713 hasConcept C84114770 @default.
- W4384389713 hasConcept C95013731 @default.
- W4384389713 hasConcept C97355855 @default.
- W4384389713 hasConceptScore W4384389713C105795698 @default.
- W4384389713 hasConceptScore W4384389713C121332964 @default.
- W4384389713 hasConceptScore W4384389713C121864883 @default.
- W4384389713 hasConceptScore W4384389713C134306372 @default.
- W4384389713 hasConceptScore W4384389713C15706264 @default.
- W4384389713 hasConceptScore W4384389713C169699857 @default.
- W4384389713 hasConceptScore W4384389713C186468114 @default.
- W4384389713 hasConceptScore W4384389713C195766429 @default.
- W4384389713 hasConceptScore W4384389713C198531522 @default.
- W4384389713 hasConceptScore W4384389713C33923547 @default.
- W4384389713 hasConceptScore W4384389713C41008148 @default.
- W4384389713 hasConceptScore W4384389713C62520636 @default.
- W4384389713 hasConceptScore W4384389713C77553402 @default.
- W4384389713 hasConceptScore W4384389713C84114770 @default.
- W4384389713 hasConceptScore W4384389713C95013731 @default.
- W4384389713 hasConceptScore W4384389713C97355855 @default.
- W4384389713 hasLocation W43843897131 @default.
- W4384389713 hasOpenAccess W4384389713 @default.
- W4384389713 hasPrimaryLocation W43843897131 @default.
- W4384389713 hasRelatedWork W2077411978 @default.
- W4384389713 hasRelatedWork W2460379283 @default.
- W4384389713 hasRelatedWork W2489303827 @default.
- W4384389713 hasRelatedWork W2893352079 @default.
- W4384389713 hasRelatedWork W2899051846 @default.
- W4384389713 hasRelatedWork W3012104901 @default.
- W4384389713 hasRelatedWork W3124965787 @default.
- W4384389713 hasRelatedWork W3162797749 @default.
- W4384389713 hasRelatedWork W4229083668 @default.
- W4384389713 hasRelatedWork W4287827096 @default.
- W4384389713 isParatext "false" @default.
- W4384389713 isRetracted "false" @default.
- W4384389713 workType "article" @default.