



01302nas a2200157   4500008004100000245007300041210006900114260001400183520080100197100001800998700002201016700002001038700002401058700002501082856003701107       2020                        eng d00aOptimal Measurement of Field Properties with Quantum Sensor Networks0 aOptimal Measurement of Field Properties with Quantum Sensor Netw  c11/2/20203 a<p>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,&hellip;,x⃗ d. While the functional form of f(x⃗ ;θ⃗ ) is known, the parameters θ⃗&nbsp; 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.</p>1 aQian, Timothy1 aBringewatt, Jacob1 aBoettcher, Igor1 aBienias, Przemyslaw1 aGorshkov, Alexey, V.  uhttps://arxiv.org/abs/2011.01259