Remarks on the structure of Clifford quantum cellular automata

Details Remarks on the structure of Clifford quantum cellular automata Remarks on the structure of Clifford quantum cellular automata

2008-12-03

arxiv.org/abs/0812.0714v1

Physics

Mathematical Physics

Contribution for the proceedings of "The Jubilee 40th Symposium on Mathematical Physics", Torun, Poland, 11pp, LaTeX

Scientific paper

We report here on the structure of reversible quantum cellular automata with the additional restriction that these are also Clifford operations. This means that tensor products of Weyl operators (projective representation of a finite abelian symplectic group) are mapped to multiples of tensor products of Weyl operators. Therefore Clifford quantum cellular automata are induced by symplectic cellular automata in phase space. We characterize these symplectic cellular automata and find that all possible local rules must be, up to some global shift, reflection invariant with respect to the origin. In the one dimensional case we also find that all 1D Clifford quantum cellular automata are generated by a few elementary operations.

Affiliated with

Also associated with

No associations

Rating

Remarks on the structure of Clifford quantum cellular automata does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on the structure of Clifford quantum cellular automata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on the structure of Clifford quantum cellular automata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625260