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Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks

Publication ,  Journal Article
Qian, K; Eldredge, Z; Ge, W; Pagano, G; Monroe, C; Porto, JV; Gorshkov, AV
Published in: Physical Review A
October 7, 2019

We generalize past work on quantum sensor networks to show that, for d input parameters, entanglement can yield a factor O(d) improvement in mean-squared error when estimating an analytic function of these parameters. We show that the protocol is optimal for qubit sensors, and we conjecture an optimal protocol for photons passing through interferometers. Our protocol is also applicable to continuous variable measurements, such as one quadrature of a field operator. We outline a few potential applications, including calibration of laser operations in trapped ion quantum computing.

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Published In

Physical Review A

DOI

EISSN

2469-9934

ISSN

2469-9926

Publication Date

October 7, 2019

Volume

100

Issue

4

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 34 Chemical sciences
 

Citation

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Qian, K., Eldredge, Z., Ge, W., Pagano, G., Monroe, C., Porto, J. V., & Gorshkov, A. V. (2019). Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks. Physical Review A, 100(4). https://doi.org/10.1103/PhysRevA.100.042304
Qian, K., Z. Eldredge, W. Ge, G. Pagano, C. Monroe, J. V. Porto, and A. V. Gorshkov. “Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks.” Physical Review A 100, no. 4 (October 7, 2019). https://doi.org/10.1103/PhysRevA.100.042304.
Qian K, Eldredge Z, Ge W, Pagano G, Monroe C, Porto JV, et al. Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks. Physical Review A. 2019 Oct 7;100(4).
Qian, K., et al. “Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks.” Physical Review A, vol. 100, no. 4, Oct. 2019. Scopus, doi:10.1103/PhysRevA.100.042304.
Qian K, Eldredge Z, Ge W, Pagano G, Monroe C, Porto JV, Gorshkov AV. Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks. Physical Review A. 2019 Oct 7;100(4).

Published In

Physical Review A

DOI

EISSN

2469-9934

ISSN

2469-9926

Publication Date

October 7, 2019

Volume

100

Issue

4

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 34 Chemical sciences