Qubit from the classical collision entropy

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.

7 pages

References in corpus (5)

• Wigner function negativity and contextuality in quantum computation on rebits
• Discrete Wigner functions and quantum computational speedup
• Framed Hilbert space: hanging the quasi-probability pictures of quantum theory
• Exploring non-signalling polytopes with negative probability
• Rényi Entropy, Signed Probabilities, and the Qubit

Cited by in corpus (2)

• Efficient measure of information backflow with a quasistochastic process
• Ideal stochastic process modeling with post-quantum quasiprobabilistic theories