Optimal Measurement of Field Properties with Quantum Sensor Networks

ORAL

Abstract

We consider a quantum sensor network of qubit sensors coupled to a field f(x;θ) analytically parameterized by the vector of parameters θ. The qubit sensors are fixed at positions x1...xd. While the functional form of f(x;θ) is known, the parameters θ are not. We derive saturable bounds on the precision of measuring an arbitrary analytic function q(θ) of these parameters and construct the optimal protocols that achieve these bounds. Our results are obtained from a combination of techniques from quantum information theory and duality theorems for linear programming. They can be applied to many problems, including optimal placement of quantum sensors, field interpolation, and the measurement of functionals of parametrized fields.

*We acknowledge funding by ARL CDQI, NSF PFC at JQI,AFOSR MURI, AFOSR, ARO MURI, NSF PFCQC program, DoE ASCR Accelerated Research in Quantum Computing program (award No. DE-SC0020312), the DoE ASCR Quantum Testbed Pathfinder program (award No. DE-SC0019040), and the U.S. Departmentof Energy Award No. DE-SC0019449. J.B. acknowledges support by the U.S. DoE, Office of Science, DoE ASCR, DoE CSGF (award No. DE-SC0019323).

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Presenters

  • Jacob Bringewatt

    • University of Maryland, College Park

Authors

  • Timothy Qian

    • University of Maryland, College Park

  • Jacob Bringewatt

    • University of Maryland, College Park

  • Igor Boettcher

    • Univ of Alberta
    • University of Maryland, College Park

  • Przemyslaw Bienias

    • University Of Maryland, College Park
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park
    • University of Maryland, College Park
    • JQI/QuICS, NIST/University of Maryland, College Park
    • Physics, University of Maryland, College Park

  • Alexey V Gorshkov

    • University of Maryland, College Park
    • National Institute of Standards and Technology
    • JQI-NIST
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park
    • Joint Quantum Institute, University of Maryland / NIST
    • NIST