Quantum Turing automata
arXiv:1404.0074 · doi:10.4204/EPTCS.143.2
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.
In Proceedings DCM 2012, arXiv:1403.7579