Keynote: Introduction to surface codes

In this Day 2 Keynote, Alexei Kitaev will define the toric code and surface codes with boundaries, discuss their physical interpretation and logical error scaling, as well as touching upon fault-tolerant implementation of logical gates.
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[@Jay-jn6ul]

Fantastic talk from the legend himself - thank you!

[@yuchen7057]

00:07 Surface codes are a family of stabilizer codes.
02:48 Stabilizer codes use shared qubits and stabilizer operators to encode and detect errors.
08:14 Stabilizer operators and their measurement can detect and characterize errors in the system.
11:12 Surface codes are defined as apparatus that commute with all stabilizers up to trivial iterators
16:47 Surface codes use algorithms to minimize the number of red edges in the graph
19:13 Maximum likelihood decoding is asymptotically efficient for planar graphs
24:12 Boundary stabilized operators represent incomplete plaquettes and vortex stars in the surface code.
26:40 Introduction to surface codes and lattice surgery for error correction in quantum computing
31:28 Defects in the surface codes architecture can encode half a qubit or one majorana mode.

[@nastyavicodin6229]

Thank you for lecture!

[@abhinavsaket1194]

Wonderful Talk.

[@MMIITTGGTTOONNEE]

Any intro to Haah code like this?