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Seeing opportunity in every difficulty : protecting information with weak value techniques
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Knee, George C. and Briggs, G. Andrew D. (2018) Seeing opportunity in every difficulty : protecting information with weak value techniques. Quantum Studies: Mathematics and Foundations, 5 (3). pp. 505-517. doi:10.1007/s40509-018-0164-z
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Official URL: http://dx.doi.org/10.1007/s40509-018-0164-z
Abstract
A weak value is an effective description of the influence of a pre and post-selected ‘principal’ system on another ‘meter’ system to which it is weakly coupled. Weak values can describe anomalously large deflections of the meter, and deflections in otherwise unperturbed variables: this motivates investigation of the potential benefits of the protocol in precision metrology. We present a visual interpretation of weak value experiments in phase space, enabling an evaluation of the effects of three types of detector noise as ‘Fisher information efficiency’ functions. These functions depend on the marginal distribution of the Wigner function of the ‘meter’, and give a unified view of the weak value protocol as a way of protecting Fisher information from detector imperfections. This approach explains why weak value techniques are more effective for avoiding detector saturation than for mitigating detector jitter or pixelation.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QC Physics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
| Library of Congress Subject Headings (LCSH): | Wigner distribution, Quantum theory, Metrology, Noise | ||||||||
| Journal or Publication Title: | Quantum Studies: Mathematics and Foundations | ||||||||
| Publisher: | Springer | ||||||||
| ISSN: | 2196-5609 | ||||||||
| Official Date: | September 2018 | ||||||||
| Dates: |
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| Volume: | 5 | ||||||||
| Number: | 3 | ||||||||
| Page Range: | pp. 505-517 | ||||||||
| DOI: | 10.1007/s40509-018-0164-z | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access | ||||||||
| RIOXX Funder/Project Grant: |
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