Quantum Turing automata

Miklós Bartha

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.

In Benedikt Löwe and Glynn Winskel: Proceedings 8th International Workshop on Developments in Computational Models (DCM 2012), Cambridge, United Kingdom, 17 June 2012, Electronic Proceedings in Theoretical Computer Science 143, pp. 17–31.
Published: 29th March 2014.

ArXived at: https://dx.doi.org/10.4204/EPTCS.143.2 bibtex PDF
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