TY - JOUR T1 - Optimal Measurement of Field Properties with Quantum Sensor Networks Y1 - 2020 A1 - Timothy Qian A1 - Jacob Bringewatt A1 - Igor Boettcher A1 - Przemyslaw Bienias A1 - Alexey V. Gorshkov AB -

We consider a quantum sensor network of qubit sensors coupled to a field f(x⃗ ;θ⃗ ) analytically parameterized by the vector of parameters θ⃗ . The qubit sensors are fixed at positions x⃗ 1,…,x⃗ d. While the functional form of f(x⃗ ;θ⃗ ) is known, the parameters θ⃗  are not. We derive saturable bounds on the precision of measuring an arbitrary analytic function q(θ⃗ ) 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.

UR - https://arxiv.org/abs/2011.01259 ER -