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Meeting 12.2: Topological quantum computing IV duration 58 minutes 31 seconds Meeting 12.2: Topological quantum computing IV Meeting 12.2: Topological quantum computing IV	Meeting 12.2: Topological quantum computing IV We show that if an extended unitary TQFT supports a quantum representation of a braid group with image that is dense inside of the unitary group of an appropriate state space, then the TQFT can be… tqft extended tqft quantum circuits braid group quantum representation From Eric Samperton 23 plays 0 Date of creation 4/15/2021 5:00 AM
Meeting 10.2: Topological quantum computing I duration 1 hour 19 minutes Meeting 10.2: Topological quantum computing I Meeting 10.2: Topological quantum computing I	Meeting 10.2: Topological quantum computing I Continuing to follow Kitaev, we consider the toric code as the ground state space of a Hamiltonian constructed from the vertex and plaquette operators. The other eigenspaces of this Hamiltonian are… anyon anyons toric code braid group dehn twist topological quantum computation From Eric Samperton 84 plays 0 Date of creation 4/1/2021 5:00 AM
Meeting 3.1: More on knots, and building knot… duration 1 hour 12 minutes Meeting 3.1: More on knots, and building knot… Meeting 3.1: More on knots, and building knot diagrams from braid words	Meeting 3.1: More on knots, and building knot diagrams from braid words We combinatorialize tame knots using stick presentations, then form knot diagrams by taking regular projections onto a plane. I explain two ways to convert a word in the generators of Artin's… knots reidemeister moves braid group bridge position From Eric Samperton 38 plays 0 Date of creation 2/9/2021 6:00 AM