Optimal measurement of field properties with quantum sensor networks

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

Automated summary

In this study, a quantum sensor network comprised of qubit sensors coupled to a parameterized field is analyzed, with bounds on the precision of measuring parameters and optimal protocols derived using techniques from quantum information theory and linear programming duality theorems. These results have implications for various applications such as optimal sensor placement, field interpolation, and functional measurement of parameterized fields.