Search for tag: "tqft"

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.

From  Eric Samperton 16 plays 0  

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…

From  Eric Samperton 7 plays 0  

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.

From  Eric Samperton 12 plays 0  

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…

From  Eric Samperton 16 plays 0  

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…

From  Eric Samperton 15 plays 0