The Library
Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
Tools
Tools
Tools
Szczykulska, Magdalena, Baumgratz, Tillmann and Datta, Animesh (2017) Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion. Quantum Science and Technology, 2 (4). 044004. ISSN 2058-9565.
|
PDF
WRAP-quantum-limits-simultaneous-estimation-phase-diffusion-Datta-2017.pdf - Accepted Version - Requires a PDF viewer. Download (1017Kb) | Preview |
Official URL: https://doi.org/10.1088/2058-9565/aa7fa9
Abstract
Phase diffusion invariably accompanies all phase estimation strategies – quantum or classical. A precise esti- mation of the former can often provide valuable understanding of the physics of the phase generating phenom- ena itself. We theoretically examine the performance of fixed-particle number probe states in the simultaneous estimation of phase and collective phase diffusion. We derive analytical quantum limits associated with the si- multaneous local estimation of phase and phase diffusion within the quantum Crame ́r-Rao bound framework in the regimes of large and small phase diffusive noise. The former is for a general fixed-particle number state and the latter for Holland Burnett states, for which we show quantum-enhanced estimation of phase as well as phase diffusion. We next investigate the simultaneous attainability of these quantum limits using projective measure- ments acting on a single copy of the state in terms of a trade-off relation. In particular, we are interested how this trade-off varies as a function of the dimension of the state. We derive an analytical bound for this trade-off in the large phase diffusion regime for a particular form of the measurement, and show that the maximum of 2, set by the quantum Crame ́r-Rao bound, is attainable. Further, we show numerical evidence that as diffusion approaches zero, the optimal trade-off relation approaches 1 for Holland-Burnett states. These numerical results are valid in the small particle number regime and suggest that the trade-off for estimating one parameter with quantum-limited precision leads to a complete lack of precision for the other parameter as the diffusion strength approaches zero. Finally, we provide numerical results showing behaviour of the trade-off for a general value of phase diffusion when using Holland-Burnett probe states.
| Item Type: | Journal Article | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | |||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | |||||||||||||||
| Library of Congress Subject Headings (LCSH): | Quantum measure theory | |||||||||||||||
| Journal or Publication Title: | Quantum Science and Technology | |||||||||||||||
| Publisher: | Institute of Physics Publishing Ltd. | |||||||||||||||
| ISSN: | 2058-9565 | |||||||||||||||
| Official Date: | 14 August 2017 | |||||||||||||||
| Dates: |
|
|||||||||||||||
| Volume: | 2 | |||||||||||||||
| Number: | 4 | |||||||||||||||
| Article Number: | 044004 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
| Date of first compliant deposit: | 17 July 2017 | |||||||||||||||
| Date of first compliant Open Access: | 14 August 2018 | |||||||||||||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), Defence Science and Technology Laboratory (Great Britain) (DSTL) | |||||||||||||||
| Grant number: | ;DSTLX- 1000091903 | |||||||||||||||
| RIOXX Funder/Project Grant: |
|
|||||||||||||||
| Related URLs: | ||||||||||||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
