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arXiv · 1409.6891

A geometric framework for mixed quantum states based on a K\"{a}hler structure

Hoshang Heydari
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Abstract

In this paper we introduce a geometric framework for mixed quantum states based on a K\"ahler structure. The geometric framework includes a symplectic form, an almost complex structure, and a Riemannian metric that characterize the space of mixed quantum states. We argue that the almost complex structure is integrable. We also in detail discuss a visualizing application of this geometric framework by deriving a geometric uncertainty relation for mixed quantum states. The framework is computationally effective and it provides us with a better understanding of general quantum mechanical systems.

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Hoshang Heydari. 2014-09-24. A geometric framework for mixed quantum states based on a K\"{a}hler structure. https://arxiv.org/abs/1409.6891

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