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I give lightening overview of what is known about the computational complexity of TQFT invariants like the Jones polynomial.
Date of creation
4/28/2021 12:00 AM
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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…
Date of creation
4/15/2021 12:00 AM
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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.
Date of creation
4/8/2021 12:00 AM
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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…
Date of creation
4/6/2021 12:00 AM
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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…
Date of creation
3/30/2021 12:00 AM
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