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Berry curvature as a lower bound for multiparameter estimation(浙江大学物理系 王晓光 教授 )
发布时间: 2017-12-25 浏览次数: 18

【报告题目】:Berry curvature as a lower bound for multiparameter estimation

【报告人】:浙江大学物理系 王晓光 教授

【报告时间】:2017年12月28日周四下午(15:00)

【报告地点】:科技楼29-414

【报告摘要】:

Quantum Fisher information (QFI) is a key concept in quantum state estimation, and Berry curvature (BC) is another basic concept to describe geometric properties of quantum states. In this talk, we consider pure states undergoing unitary parametrization processes and show that the BC serves as a lower bound for the product of QFIs corresponding to two different parameters through the Heisenberg uncertainty relation. This relation between QFI and BC implies that the estimation precisions of two different parameters are mutually restrictive due to finite BC, and the notion of QFI squeezing is introduced. A scenario of general su(2) parametrization is considered in detail to verify the relation between the QFI and BC.

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