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Berry curvature as a lower bound for multi-parameter estimation

發(fā)布時(shí)間:2017-06-19 瀏覽:

講座題目:Berry curvature as a lower bound for multi-parameter estimation

講座人:王曉光 教授

講座時(shí)間:10:30

講座日期:2017-6-19

地點(diǎn):長(zhǎng)安校區(qū) 圖書(shū)館西附樓學(xué)術(shù)報(bào)告廳

主辦單位:計(jì)算機(jī)科學(xué)學(xué)院 計(jì)算智能團(tuán)隊(duì)

講座內(nèi)容:Quantum Fisher information (QFI) is a key concept in quantumstate estimation, and Berry curvature (BC) is another basic concept to describegeometric properties of quantum states. In this report, we consider pure statesundergoing unitary parametrization processes and show that the BC serves as alower bound for the product of QFIs corresponding to two different parametersthrough the Heisenberg uncertainty relation. This relation between QFI and BCimplies that the estimation precisions of two different parameters are mutuallyrestrictive due to finite BC, and the notion of QFI squeezing is introduced. Ascenario of general su(2) parametrization is considered in detail to verify therelation between the QFI and BC.

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