dc.contributor.author | Gorecki, Wojciech | |
dc.contributor.author | Demkowicz-Dobrzanski, Rafal | |
dc.contributor.author | Wiseman, Howard M | |
dc.contributor.author | Berry, Dominic W | |
dc.date.accessioned | 2020-07-01T03:50:18Z | |
dc.date.available | 2020-07-01T03:50:18Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0031-9007 | |
dc.identifier.doi | 10.1103/PhysRevLett.124.030501 | |
dc.identifier.uri | http://hdl.handle.net/10072/395049 | |
dc.description.abstract | We consider the precision Δφ with which the parameter φ, appearing in the unitary map Uφ=eiφΛ, acting on some type of probe system, can be estimated when there is a finite amount of prior information about φ. We show that, if Uφ acts n times in total, then, asymptotically in n, there is a tight lower bound Δφ≥π/[n(λ+-λ-)], where λ+, λ- are the extreme eigenvalues of the generator Λ. This is greater by a factor of π than the conventional Heisenberg limit, derived from the properties of the quantum Fisher information. That is, the conventional bound is never saturable. Our result makes no assumptions on the measurement protocol and is relevant not only in the noiseless case but also if noise can be eliminated using quantum error correction techniques. | |
dc.description.peerreviewed | Yes | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | American Physical Society | |
dc.relation.ispartofpagefrom | 030501:1 | |
dc.relation.ispartofpageto | 030501:5 | |
dc.relation.ispartofissue | 3 | |
dc.relation.ispartofjournal | Physical Review Letters | |
dc.relation.ispartofvolume | 124 | |
dc.subject.fieldofresearch | Mathematical sciences | |
dc.subject.fieldofresearch | Physical sciences | |
dc.subject.fieldofresearch | Engineering | |
dc.subject.fieldofresearchcode | 49 | |
dc.subject.fieldofresearchcode | 51 | |
dc.subject.fieldofresearchcode | 40 | |
dc.subject.keywords | Science & Technology | |
dc.subject.keywords | Physics, Multidisciplinary | |
dc.subject.keywords | Physics | |
dc.title | π-Corrected Heisenberg Limit | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dcterms.bibliographicCitation | Gorecki, W; Demkowicz-Dobrzanski, R; Wiseman, HM; Berry, DW, π-Corrected Heisenberg Limit, American Physical Society, 2020, 124 (3), pp. 030501:1-030501:5 | |
dc.date.updated | 2020-07-01T03:43:25Z | |
dc.description.version | Accepted Manuscript (AM) | |
gro.rights.copyright | © 2020 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version. | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Wiseman, Howard M. | |