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Adaptive Phase Measurements
Berry, Dominic William (2001). Adaptive Phase Measurements PhD Thesis, Physics.
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n01front.pdf
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n01front.pdf |
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n02chapter1.pdf
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n10appendix.pdf
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n11references.pdf
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| Author(s) |
Berry, Dominic William
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| Thesis Title |
Adaptive Phase Measurements
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| School, Centre or Institute |
Physics
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| Publication date |
2001
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| Thesis type |
PhD Thesis
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| Supervisor(s) |
Dr. Howard Wiseman
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| Abstract/Summary |
In 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> 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.
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| Keyword(s) |
feedback
phase
quantum measurements
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