References & Citations
Quantum Physics
Title: Towards establishing a connection between two-level quantum systems and physical spaces
(Submitted on 14 Dec 2023 (v1), last revised 24 Apr 2024 (this version, v2))
Abstract: This work seeks to make explicit the operational connection between the preparation of two-level quantum systems with their corresponding description (as states) in a Hilbert space. This may sound outdated, but we show there is more to this connection than common sense may lead us to believe. To bridge these two separated realms -- the actual laboratory and the space of states -- we rely on a paradigmatic mathematical object: the Hopf fibration. We illustrate how this connection works in practice with a simple optical setup. Remarkably, this optical setup also reflects the necessity of using two charts to cover a sphere. Put another way, our experimental realization reflects the bi-dimensionality of a sphere seen as a smooth manifold.
Submission history
From: Bruno Rizzuti [view email][v1] Thu, 14 Dec 2023 18:29:19 GMT (234kb,D)
[v2] Wed, 24 Apr 2024 18:30:42 GMT (238kb,D)
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