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arXiv · 1404.0074

Quantum Turing automata

Miklós Bartha
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Abstract

A denotational semantics of quantum Turing machines having a quantum control is defined in the dagger compact closed category of finite dimensional Hilbert spaces. Using the Moore-Penrose generalized inverse, a new additive trace is introduced on the restriction of this category to isometries, which trace is carried over to directed quantum Turing machines as monoidal automata. The Joyal-Street-Verity Int construction is then used to extend this structure to a reversible bidirectional one.

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Miklós Bartha. 2014-04-01. Quantum Turing automata. https://doi.org/10.4204/eptcs.143.2

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