Qubit from the classical collision entropy
arXiv:2205.00773 · doi:10.1103/PhysRevA.107.032214
Abstract
An orthodox formulation of quantum mechanics relies on a set of postulates in Hilbert space supplemented with rules to connect it with classical mechanics such as quantisation techniques, correspondence principle, etc. Here we deduce a qubit and its dynamics straightforwardly from a discrete deterministic dynamics and conservation of the classical collision entropy. No Hilbert space is required although it can be inferred from this approach if necessary.
arXiv comment7 pages
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