Search for tag: "topological quantum computation"

Meeting 13.2: Topological quantum computing and 3-manifold invariants

We spell out the precise relation between 3-manifold/knot invariants and the model of topological quantum computing discussed in the previous several meetings.

From  Eric Samperton 27 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 23 plays 0  

Meeting 10.2: Topological quantum computing I

Continuing to follow Kitaev, we consider the toric code as the ground state space of a Hamiltonian constructed from the vertex and plaquette operators. The other eigenspaces of this Hamiltonian are…

From  Eric Samperton 67 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 38 plays 0