【摘 要】
：
Ten years ago,Freedman,Kitaev,Larsen and Wang established that simulating certain Topological Quantum Field Theories is universal for quantum computation.Th
【机 构】
：
CaliforniaInstituteofTechnology,USA
【出 处】
：
The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
Ten years ago,Freedman,Kitaev,Larsen and Wang established that simulating certain Topological Quantum Field Theories is universal for quantum computation.Their pioneering work has led us to many wonderful connections between quantum computation,complexity theory,and topology.We now know that the power of quantum computation is exactly captured by the problem of approximating certain topological invariants,such as the Jones Polynomial and the Turaev-Viro invariant.It is natural to view these results as consequences of the universality of simulating certain representations of mapping class groups on a quantum computer.In this talk,we will review these results from this point of view,and then discuss a new potential application: obfuscating quantum and classical circuits.
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