Information geometry and its applications
Information geometry and its applications
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DOI：
10.1007/978-3-319-97798-0
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发表时间：
2012-10
期刊：
影响因子：
--
通讯作者：
F. Opitz
中科院分区：
文献类型：
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作者：
F. Opitz
我回顾最近的工作表明，信息几何是一个有用的框架来表征量子相干和纠缠。量子系统具有经典物理无法证明的特殊性质，例如量子相干性和量子关联性。一旦局限于思想实验，它们现在通过对原子、分子和光子进行精密的实验控制来创造和操纵。重要的是要识别和量化这些量子特征，因为它们被认为是实现计算和通信协议中超经典性能的关键资源。信息几何的观点阐明了量子叠加在相位估计中的优势。此外，它能够将相干性和纠缠度的测量与可观测量联系起来，这些可观测量可以在实验室中通过有限数量的测量进行评估。
I review recent works showing that information geometry is a useful framework to characterize quantum coherence and entanglement. Quantum systems exhibit peculiar properties which cannot be justified by classical physics, e.g. quantum coherence and quantum correlations. Once confined to thought experiments, they are nowadays created and manipulated by exerting an exquisite experimental control of atoms, molecules and photons. It is important to identify and quantify such quantum features, as they are deemed to be key resources to achieve supraclassical performances in computation and communication protocols. The information geometry viewpoint elucidates the advantage provided by quantum superpositions in phase estimation. Also, it enables to link measures of coherence and entanglement to observables, which can be evaluated in a laboratory by a limited number of measurements.