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IQIM Postdoctoral and Graduate Student Seminar

Friday, November 8, 2024
12:15pm to 1:15pm
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East Bridge 201 (Richard P. Feynman Lecture Hall)
A local automaton for the 2D toric code
Shankar Balasubramanian, MIT,

Abstract: We construct a local decoder for the 2D toric code using ideas from the hierarchical classical cellular automata of Tsirelson and Gács. Such a decoder is realized as a circuit of strictly local quantum channels that preserves the logical subspace of the toric code for exponential time in the presence of (below threshold) circuit-level noise without the need for non-local classical computation or communication.  Our 2D construction is not translation invariant in spacetime, but can be made time-translation invariant in 3D.

Note: This week's talk is in 201 E. Bridge beginning at 12:15 pm.

Lunch will be provided on the lawn outside the Bridge building, following the talk.

For more information, please contact Marcia Brown by phone at 626-395-4013 or by email at marcia.brown@caltech.edu.