Search for tag: "tqft"

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Meeting 14.1: Computational complexity of TQFT… duration 1 hour 11 minutes Meeting 14.1: Computational complexity of TQFT… Meeting 14.1: Computational complexity of TQFT invariants	Meeting 14.1: Computational complexity of TQFT invariants I give lightening overview of what is known about the computational complexity of TQFT invariants like the Jones polynomial. tqft +3 More From Eric Samperton 87 plays 0 Date of creation 4/28/2021 5:00 AM
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 +4 More From Eric Samperton 24 plays 0 Date of creation 4/15/2021 5:00 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 +2 More From Eric Samperton 30 plays 0 Date of creation 4/8/2021 5:00 AM
Meeting 11.1: Topological quantum computing II duration 1 hour 14 minutes Meeting 11.1: Topological quantum computing II Meeting 11.1: Topological quantum computing II	Meeting 11.1: Topological quantum computing II We mostly say more about (2+1)-dimensional unitary TQFTs. In particular, we define the quantum representations of mapping class groups of surfaces determined by a TQFT. We also begin to show one… tqft +4 More From Eric Samperton 36 plays 0 Date of creation 4/6/2021 5:00 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 +3 More From Eric Samperton 47 plays 0 Date of creation 3/30/2021 5:00 AM