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arXiv · 1504.02817

Towards A Theory Of Quantum Computability

Stefano Guerrini·Simone Martini·Andrea Masini
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Abstract

We propose a definition of quantum computable functions as mappings between superpositions of natural numbers to probability distributions of natural numbers. Each function is obtained as a limit of an infinite computation of a quantum Turing machine. The class of quantum computable functions is recursively enumerable, thus opening the door to a quantum computability theory which may follow some of the classical developments.

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Stefano Guerrini, Simone Martini, Andrea Masini. 2015-04-10. Towards A Theory Of Quantum Computability. https://arxiv.org/abs/1504.02817

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