There has been progress in the direction of finding fully universal
quantum Turing machine.

Construction of a universal quantum computer
Antonio A. Lagana, M. A. Lohe, and Lorenz von Smekal
Physical Review A  79, 052322 (2009) (11 pages)

http://link.aps.org/doi/10.1103/PhysRevA.79.052322

I'll read it and we can discuss then.

Regards,
 mirek


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