Search for tag: "tqft"
Meeting 14.1: Computational complexity of TQFT invariantsI give lightening overview of what is known about the computational complexity of TQFT invariants like the Jones polynomial.
From Eric Samperton
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Meeting 12.2: Topological quantum computing IVWe 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…
From Eric Samperton
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Meeting 11.2: Topological quantum computing IIIWe 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.
From Eric Samperton
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Meeting 11.1: Topological quantum computing IIWe 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…
From Eric Samperton
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Meeting 10.1: From TQFT to TQC, Part 1I 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…
From Eric Samperton
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