%0 Journal Article %D 2018 %T Optimal and Secure Measurement Protocols for Quantum Sensor Networks %A Zachary Eldredge %A Michael Foss-Feig %A Steven L. Rolston %A Alexey V. Gorshkov %X

Studies of quantum metrology have shown that the use of many-body entangled states can lead to an enhancement in sensitivity when compared to product states. In this paper, we quantify the metrological advantage of entanglement in a setting where the quantity to be measured is a linear function of parameters coupled to each qubit individually. We first generalize the Heisenberg limit to the measurement of non-local observables in a quantum network, deriving a bound based on the multi-parameter quantum Fisher information. We then propose a protocol that can make use of GHZ states or spin-squeezed states, and show that in the case of GHZ states the procedure is optimal, i.e., it saturates our bound.

%8 2018/03/23 %G eng %U http://arxiv.org/abs/1607.04646 %R https://doi.org/10.1103/PhysRevA.97.042337