Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387561454> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4387561454 abstract "We revisit the problem of estimating an unknown parameter of a pure quantum state, and investigate `null-measurement' strategies in which the experimenter aims to measure in a basis that contains a vector close to the true system state. Such strategies are known to approach the quantum Fisher information for models where the quantum Cram'{e}r-Rao bound is achievable but a detailed adaptive strategy for achieving the bound in the multi-copy setting has been lacking. We first show that the following naive null-measurement implementation fails to attain even the standard estimation scaling: estimate the parameter on a small sub-sample, and apply the null-measurement corresponding to the estimated value on the rest of the systems. This is due to non-identifiability issues specific to null-measurements, which arise when the true and reference parameters are close to each other. To avoid this, we propose the alternative displaced-null measurement strategy in which the reference parameter is altered by a small amount which is sufficient to ensure parameter identifiability. We use this strategy to devise asymptotically optimal measurements for models where the quantum Cram'{e}r-Rao bound is achievable. More generally, we extend the method to arbitrary multi-parameter models and prove the asymptotic achievability of the the Holevo bound. An important tool in our analysis is the theory of quantum local asymptotic normality which provides a clear intuition about the design of the proposed estimators, and shows that they have asymptotically normal distributions." @default.
- W4387561454 created "2023-10-12" @default.
- W4387561454 creator A5035133790 @default.
- W4387561454 creator A5043645333 @default.
- W4387561454 creator A5078748305 @default.
- W4387561454 date "2023-10-10" @default.
- W4387561454 modified "2023-10-13" @default.
- W4387561454 title "Optimal estimation of pure states with displaced-null measurements" @default.
- W4387561454 doi "https://doi.org/10.48550/arxiv.2310.06767" @default.
- W4387561454 hasPublicationYear "2023" @default.
- W4387561454 type Work @default.
- W4387561454 citedByCount "0" @default.
- W4387561454 crossrefType "posted-content" @default.
- W4387561454 hasAuthorship W4387561454A5035133790 @default.
- W4387561454 hasAuthorship W4387561454A5043645333 @default.
- W4387561454 hasAuthorship W4387561454A5078748305 @default.
- W4387561454 hasBestOaLocation W43875614541 @default.
- W4387561454 hasConcept C105795698 @default.
- W4387561454 hasConcept C121332964 @default.
- W4387561454 hasConcept C121864883 @default.
- W4387561454 hasConcept C122770356 @default.
- W4387561454 hasConcept C126255220 @default.
- W4387561454 hasConcept C134306372 @default.
- W4387561454 hasConcept C167928553 @default.
- W4387561454 hasConcept C185429906 @default.
- W4387561454 hasConcept C203763787 @default.
- W4387561454 hasConcept C2524010 @default.
- W4387561454 hasConcept C28826006 @default.
- W4387561454 hasConcept C29406490 @default.
- W4387561454 hasConcept C33923547 @default.
- W4387561454 hasConcept C41008148 @default.
- W4387561454 hasConcept C62520636 @default.
- W4387561454 hasConcept C77088390 @default.
- W4387561454 hasConcept C77553402 @default.
- W4387561454 hasConcept C84114770 @default.
- W4387561454 hasConcept C99844830 @default.
- W4387561454 hasConceptScore W4387561454C105795698 @default.
- W4387561454 hasConceptScore W4387561454C121332964 @default.
- W4387561454 hasConceptScore W4387561454C121864883 @default.
- W4387561454 hasConceptScore W4387561454C122770356 @default.
- W4387561454 hasConceptScore W4387561454C126255220 @default.
- W4387561454 hasConceptScore W4387561454C134306372 @default.
- W4387561454 hasConceptScore W4387561454C167928553 @default.
- W4387561454 hasConceptScore W4387561454C185429906 @default.
- W4387561454 hasConceptScore W4387561454C203763787 @default.
- W4387561454 hasConceptScore W4387561454C2524010 @default.
- W4387561454 hasConceptScore W4387561454C28826006 @default.
- W4387561454 hasConceptScore W4387561454C29406490 @default.
- W4387561454 hasConceptScore W4387561454C33923547 @default.
- W4387561454 hasConceptScore W4387561454C41008148 @default.
- W4387561454 hasConceptScore W4387561454C62520636 @default.
- W4387561454 hasConceptScore W4387561454C77088390 @default.
- W4387561454 hasConceptScore W4387561454C77553402 @default.
- W4387561454 hasConceptScore W4387561454C84114770 @default.
- W4387561454 hasConceptScore W4387561454C99844830 @default.
- W4387561454 hasLocation W43875614541 @default.
- W4387561454 hasOpenAccess W4387561454 @default.
- W4387561454 hasPrimaryLocation W43875614541 @default.
- W4387561454 hasRelatedWork W1972488940 @default.
- W4387561454 hasRelatedWork W1974129636 @default.
- W4387561454 hasRelatedWork W1990032233 @default.
- W4387561454 hasRelatedWork W1998523300 @default.
- W4387561454 hasRelatedWork W2130590832 @default.
- W4387561454 hasRelatedWork W2134474324 @default.
- W4387561454 hasRelatedWork W2162728407 @default.
- W4387561454 hasRelatedWork W2552635486 @default.
- W4387561454 hasRelatedWork W4213234699 @default.
- W4387561454 hasRelatedWork W2173736524 @default.
- W4387561454 isParatext "false" @default.
- W4387561454 isRetracted "false" @default.
- W4387561454 workType "article" @default.