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Thumbnail for Meeting 10.2: Topological quantum computing I

Meeting 10.2: Topological quantum computing I

duration 1 hour 19 minutes

Meeting 10.2: Topological quantum computing I

Meeting 10.2: Topological quantum computing I

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…

anyon
anyons
toric code
braid group
dehn twist
topological quantum computation
From  Eric Samperton 84 plays 0  
Date of creation
4/1/2021 5:00 AM
Thumbnail for Meeting 9.2: Toric code II and stabilizer formalism

Meeting 9.2: Toric code II and stabilizer…

duration 1 hour 1 minute

Meeting 9.2: Toric code II and stabilizer…

Meeting 9.2: Toric code II and stabilizer formalism

Meeting 9.2: Toric code II and stabilizer formalism

I finish up calculating the distance of the toric code. I then introduce the stabilizer formalism, which provides a method to construct quantum error correcting codes from classical Boolean linear…

toric code
quantum error correction
stabilizer formalism
error correcting codes
From  Eric Samperton 54 plays 0  
Date of creation
3/25/2021 5:00 AM
Thumbnail for Meeting 9.1: Toric code I

Meeting 9.1: Toric code I

duration 1 hour 15 minutes

Meeting 9.1: Toric code I

Meeting 9.1: Toric code I

Meeting 9.1: Toric code I

We construct Kitaev's toric code in full gory detail. Here's his paper.

toric code
kitaev
quantum error correction
error correcting codes
From  Eric Samperton 181 plays 0  
Date of creation
3/23/2021 5:00 AM