From gauge transformations to topology computation in quantum lattice gas automata

Details From gauge transformations to topology computation in quantum lattice gas automata From gauge transformations to topology computation in quantum lattice gas automata

2001-05-17

arxiv.org/abs/quant-ph/0105087v1

Physics

Quantum Physics

8 pages, plain TeX, 1 PostScript figure included with epsf.tex (ignore the under/overfull \vbox error messages); for related w

Scientific paper

10.1088/0305-4470/34/35/323

The evolution of a quantum lattice gas automaton (LGA) for a single charged particle is invariant under multiplication of the wave function by a global phase. Requiring invariance under the corresponding local gauge transformations determines the rule for minimal coupling to an arbitrary external electromagnetic field. We develop the Aharonov-Bohm effect in the resulting model into a constant time algorithm to distinguish a one dimensional periodic lattice from one with boundaries; any classical deterministic LGA algorithm distinguishing these two spatial topologies would have expected running time on the order of the cardinality of the lattice.

Affiliated with

Also associated with

No associations

Rating

From gauge transformations to topology computation in quantum lattice gas 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 From gauge transformations to topology computation in quantum lattice gas automata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From gauge transformations to topology computation in quantum lattice gas automata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-197664