Search for tag: "tqft"

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01:11:07 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 jones polynomial quantum algorithms computational complexity From Eric Samperton 58 plays 0 Date of creation 4/28/2021 12:00 AM
58:31 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 13 plays 0 Date of creation 4/15/2021 12:00 AM
01:19:39 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 21 plays 0 Date of creation 4/8/2021 12:00 AM
01:14:19 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 quantum circuits quantum representation mapping class group surfaces From Eric Samperton 26 plays 0 Date of creation 4/6/2021 12:00 AM
01:06:16 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 31 plays 0 Date of creation 3/30/2021 12:00 AM