2012

Three-dimensionality of space and the quantum bit: an information-theoretic approach

Mueller, Markus P., Masanes, Lluis

Understand

It is sometimes pointed out as a curiosity that the state space of quantum two-level systems, i.e.

the qubit, and actual physical space are both three-dimensional and Euclidean.
In this paper, we suggest an information-theoretic analysis of this relationship, by proving a particular mathematical result: suppose that physics takes place in d spatial dimensions, and that some events happen probabilistically (not assuming quantum theory in any way).
Furthermore, suppose there are systems that carry "minimal amounts of direction information", interacting via some continuous reversible time evolution.

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