2 0 Ju n 20 06 An efficient quantum algorithm for colored

We construct a quantum algorithm to approximate efficiently the colored Jones polynomial of the plat presentation of any oriented li nkL at a fixed root of unity q. Our construction is based on SU(2) Chern-Simons topological quantum field theory (and associated Wess-Zumino-Witten co nformal field theory) and exploits theq-deformed spin network as… CONTINUE READING