Adaptive Phase Measurements

dc.creatorBerry, Dominic
dc.date2002-02-25
dc.date.accessioned2026-07-07T06:03:44Z
dc.date.available2026-07-07T06:03:44Z
dc.descriptionIn this thesis I consider the general problem of how to make the best possible phase measurements using feedback. Both the optimum input state and optimum feedback are considered for both single-mode dyne measurements and two-mode interferometric measurements. I derive the optimum input states under general dyne measurements when the mean photon number is fixed, both for general states and squeezed states. I propose a new feedback scheme that introduces far less phase uncertainty than mark II feedback, and is very close to the theoretical limit. I also derive results for the phase variance when there is a time delay in the feedback loop, showing that there is a lower limit to the introduced phase variance, and this is approached quite accurately under some conditions. I derive the optimum input states for interferometry, showing that the phase uncertainty scales as 1/N for all the common measures of uncertainty. This is contrasted with the |j0>_z state, which does not scale as 1/N for all measures of phase uncertainty. I introduce an adaptive feedback scheme that is very close to optimum, and can give scaling very close to 1/N for the uncertainty. Lastly I consider the case of continuous measurements, for both the dyne and interferometric cases.
dc.descriptionPhD thesis, 228 pages, 103 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0202136
dc.identifierhttp://arxiv.org/abs/quant-ph/0202136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90054
dc.subjectQuantum Physics
dc.titleAdaptive Phase Measurements
dc.typetext

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