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Berry's phase in view of quantum estimation theory, and its intrinsic relation with the complex structure

Keiji Matsumoto
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Abstract

In this paper, it is pointed out that the Berry's phase is a good index of degree of no-commutativity of the quantum statistical model. Intrinsic relations between the `complex structure' of the Hilbert space and Berry's phase is also discussed.

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Keiji Matsumoto. 2000-06-16. Berry's phase in view of quantum estimation theory, and its intrinsic relation with the complex structure. https://arxiv.org/abs/quant-ph/0006076

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