Quantum metrology with precision reaching beyond 1/N-scaling through N-probe entanglement-generating interactions

Xing Deng, Shou-Long Chen, Mao Zhang, Xiao-Fan Xu, Jing Liu, Zhi Gao, Xiao-Chun Duan, Min-Kang Zhou, Lushuai Cao, and Zhong-Kun Hu

Abstract：Nonlinear interactions are recognized as potential resources for quantum metrology, facilitating parameter estimation precisions that scale as the exponential Heisenberg limit of 2^-N. We explore such nonlinearity and propose an associated quantum measurement scenario based on the nonlinear interaction of N-probe entanglement-generating form. This scenario provides an enhanced precision scaling of D^-N/(N−1)! with D>2 a tunable parameter. In addition, it can be readily implemented in a variety of experimental platforms and applied to measurements of a wide range of quantities, including local gravitational acceleration g, magnetic field, and its higher-order gradients.

期刊名：Physical Review A

期/卷：104

页码：012607

发表时间：2021

DOI: 10.1103/PhysRevA.104.012607