Quantum information geometrical methods in noncommutative statistics

为了在非对易静力学中建立量子信息几何方法，我们得到了以下结果：1)自适应量子估计问题的强相合性和渐近有效性。2)SU(D)信道最优估计方案的几何。3)基于α-发散度的随机性准则。4)量子通道流形上的纤维丛及其在量子统计中的应用。5)伊辛自旋链的信息几何。

Aiming at establishing quantum information geometrical methods in noncommutative statics, we have obtained the following results : 1) Strong consistency and asymptotic efficiency for adaptive quantum estimation problems. 2) Geometry of optimal estimation scheme for SU(D) channels. 3) Randomness criteria in terms of α-divergences. 4) A fibre bundle over manifolds of quantum channels and its application to quantum statistics. 5) Information geometry of Ising spin chains.