期刊
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
卷 6, 期 -, 页码 773-778出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219749908004092
关键词
quantum algorithms; 3-manifold invariants; topological quantum field theory
We construct a quantum algorithm to approximate efficiently the colored Jones polynomial of the plat presentation of any oriented link L at a fixed root of unity q. The construction exploits the q-deformed spin network as computational background. The complexity of such algorithm is bounded above linearly by the number of crossings of the link, and polynomially by the number of link strands.
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