Search for tag: "topological quantum computation"

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Meeting 13.2: Topological quantum computing and… duration 59 minutes 15 seconds Meeting 13.2: Topological quantum computing and… Meeting 13.2: Topological quantum computing and 3-manifold invariants	Meeting 13.2: Topological quantum computing and 3-manifold invariants We spell out the precise relation between 3-manifold/knot invariants and the model of topological quantum computing discussed in the previous several meetings. topological quantum computation quantum invariants 3-manifold knots From Eric Samperton 30 plays 0 Date of creation 4/22/2021 12:00 AM
Meeting 11.2: Topological quantum computing III duration 1 hour 19 minutes Meeting 11.2: Topological quantum computing III Meeting 11.2: Topological quantum computing III	Meeting 11.2: Topological quantum computing III We discuss extended (2+1)-dimensional TQFTs, and show how the structure of an extended TQFT allows us to localize the state spaces of surfaces by cutting them up into subsurfaces. tqft extended tqft topological quantum computation From Eric Samperton 25 plays 0 Date of creation 4/8/2021 12:00 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 74 plays 0 Date of creation 4/1/2021 12:00 AM
Meeting 10.1: From TQFT to TQC, Part 1 duration 1 hour 6 minutes Meeting 10.1: From TQFT to TQC, Part 1 Meeting 10.1: From TQFT to TQC, Part 1	Meeting 10.1: From TQFT to TQC, Part 1 I begin a probably-too-zoomed-out overview of the historical development of ideas that begin with topological quantum field theory (TQFT) and lead to topological quantum computation (TQC). A list of… topological quantum computation topological quantum field theory tqft tqc From Eric Samperton 42 plays 0 Date of creation 3/30/2021 12:00 AM