Accessible precisions for estimating two conjugate parameters using Gaussian probes

Syed M. Assad, Jiamin Li, Yuhong Liu, Ningbo Zhao, Wen Zhen Zhao, Ping Koy Lam, Z. Y. Ou, Xiaoying Li · Physical Review Research · 2020

In this work, the authors tackle the problem of measuring position and momentum simultaneously and find a relation on achievable estimation precisions using squeezed and entangled quantum states. These quantum resource can be thought of as a currency. They can be used to get a precise estimate of X alone, without any information about P; or be apportioned equally between X and P

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