Optimized parameter estimation in the presence of collective phase noise
Abstract
We investigate phase and frequency estimation with different measurement strategies under the effect of collective phase noise. First, we consider the standard linear estimation scheme and present an experimentally realizable optimization of the initial probe states by collective rotations. We identify the optimal rotation angle for different measurement times. Second, we show that subshot noise sensitivity—up to the Heisenberg limit—can be reached in presence of collective phase noise by using differential interferometry, where one part of the system is used to monitor the noise. For this, not only Greenberger-Horne-Zeilinger states but also symmetric Dicke states are suitable. We investigate the optimal splitting for a general symmetric Dicke state at both inputs and discuss possible experimental realizations of differential interferometry.
- Publication:
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Physical Review A
- Pub Date:
- November 2016
- DOI:
- 10.1103/PhysRevA.94.052306
- arXiv:
- arXiv:1607.05160
- Bibcode:
- 2016PhRvA..94e2306A
- Keywords:
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- Quantum Physics
- E-Print:
- 17 pages, 6 figures, v2: small revisions, final version