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On a continuity of quantum statistical models in the infinite-dimensional Hilbert space (Statistical-theoretic approach to high-dimensional quantum tomography)

Fuyuhiko Tanaka

Published Aug 1, 2014• 0 citations
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Related papers

On a continuity of quantum statistical models in the infinite-dimensional Hilbert space (高次元量子トモグラフィにおける統計理論的なアプローチ : RIMS研究集会報告集)

冬彦 田中

数理解析研究所講究録•Aug 1, 2014•0 citations

On a continuity of quantum statistical models in the infinite-dimensional Hilbert space (Statistical-theoretic approach to high-dimensional quantum tomography)

冬彦 田中

Let us consider functions from a locally compact metric space to trace- class operators on a separable Hilbert space.It is a basic framework in constructing quantum statistical models.In theoretical development, Holevo gave one definition of continuity of those functions in a more general setting.A regularity condition of quantum statistical models is derived from this definition but it seems complicated.We show that it is rewritten in a simple form.

数理解析研究所講究録•Aug 1, 2014•0 citations

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A throughout study of statistical characteristics of fidelity in different protocols of quantum tomography is given. We consider protocols based on geometry of platonic solids and other polyhedrons with high degree of symmetry such as fullerene and its dual polyhedron. Characteristics of fidelity in different protocols are compared to the theoretical level of the minimum possible level of fidelity loss. Tomography of pure and mixed states in Hilbert spaces of different dimension is analyzed. Results of this work could be used for a better control of quantum gates and quantum states in quantum information technologies.