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Optimal measurement of field properties with quantum sensor networks.

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 x ₁, …, x _d . 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.

SUBMITTER: Qian T

PROVIDER: S-EPMC9793443 | biostudies-literature | 2021 Mar

REPOSITORIES: biostudies-literature

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Optimal measurement of field properties with quantum sensor networks.

Qian Timothy T Bringewatt Jacob J Boettcher Igor I Bienias Przemyslaw P Gorshkov Alexey V AV

Physical review. A 20210301

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 x 1, …, x d . 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 ...[more]

PMID: 36578467

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Dataset Information

Optimal measurement of field properties with quantum sensor networks.

Publications

Optimal measurement of field properties with quantum sensor networks.

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