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Title: Multiparameter Estimation in Networked Quantum Sensors

Abstract

We introduce a general model for a network of quantum sensors, and we use this model to consider the question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a set of unknown parameters? We rigorously answer this question by presenting precise theorems proving that for a broad class of problems there is, at most, a very limited intrinsic advantage to using entangled states or global measurements. Moreover, for many estimation problems separable states and local measurements are optimal, and can achieve the ultimate quantum limit on the estimation uncertainty. This immediately implies that there are broad conditions under which simultaneous estimation of multiple parameters cannot outperform individual, independent estimations. Our results apply to any situation in which spatially localized sensors are unitarily encoded with independent parameters, such as when estimating multiple linear or non-linear optical phase shifts in quantum imaging, or when mapping out the spatial profile of an unknown magnetic field. We conclude by showing that entangling the sensors can enhance the estimation precision when the parameters of interest are global properties of the entire network.

Authors:
 [1];  [2];  [3]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States); Univ. of California, Berkeley, CA (United States)
  2. Univ. of Nottingham (United Kingdom); Univ. of Sussex, Brighton (United Kingdom)
  3. Univ. of Sussex, Brighton (United Kingdom)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1429719
Alternate Identifier(s):
OSTI ID: 1422465
Report Number(s):
SAND-2017-13642J
Journal ID: ISSN 0031-9007; PRLTAO; 659588; TRN: US1802617
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 8; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Proctor, Timothy J., Knott, Paul A., and Dunningham, Jacob A. Multiparameter Estimation in Networked Quantum Sensors. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.080501.
Proctor, Timothy J., Knott, Paul A., & Dunningham, Jacob A. Multiparameter Estimation in Networked Quantum Sensors. United States. doi:10.1103/PhysRevLett.120.080501.
Proctor, Timothy J., Knott, Paul A., and Dunningham, Jacob A. Wed . "Multiparameter Estimation in Networked Quantum Sensors". United States. doi:10.1103/PhysRevLett.120.080501. https://www.osti.gov/servlets/purl/1429719.
@article{osti_1429719,
title = {Multiparameter Estimation in Networked Quantum Sensors},
author = {Proctor, Timothy J. and Knott, Paul A. and Dunningham, Jacob A.},
abstractNote = {We introduce a general model for a network of quantum sensors, and we use this model to consider the question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a set of unknown parameters? We rigorously answer this question by presenting precise theorems proving that for a broad class of problems there is, at most, a very limited intrinsic advantage to using entangled states or global measurements. Moreover, for many estimation problems separable states and local measurements are optimal, and can achieve the ultimate quantum limit on the estimation uncertainty. This immediately implies that there are broad conditions under which simultaneous estimation of multiple parameters cannot outperform individual, independent estimations. Our results apply to any situation in which spatially localized sensors are unitarily encoded with independent parameters, such as when estimating multiple linear or non-linear optical phase shifts in quantum imaging, or when mapping out the spatial profile of an unknown magnetic field. We conclude by showing that entangling the sensors can enhance the estimation precision when the parameters of interest are global properties of the entire network.},
doi = {10.1103/PhysRevLett.120.080501},
journal = {Physical Review Letters},
number = 8,
volume = 120,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 15 works
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Figures / Tables:

FIG. 1 FIG. 1: A network of quantum sensors. The kth node represents a “sensor” into which the vector parameter θ[k] is encoded via a local unitary evolution. The connections between the nodes denote that, in general, the sensors can be entangled, and/or global measurements can be performed.

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    Works referencing / citing this record:

    Experimental multiphase estimation on a chip
    journal, January 2019


      Figures / Tables found in this record:

        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.