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IQI Weekly Seminar

Tuesday, January 28, 2020
3:00pm to 4:00pm
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Annenberg 107
Approximate Bacon-Shor Code and Holography
Charles Cao, QuICS, University of Maryland,

Abstract: We construct an explicit and solvable toy model for the AdS/CFT correspondence in the form of an approximate quantum error correction code with a non-trivial center in the code subalgebra. Specifically, we use approximate Bacon-Shor codes and perfect tensors to construct a holographic tensor network that reproduces an analog of the Ryu-Takayanagi formula and features of the sub-region duality. We find that both the position of the Ryu-Takayanagi surface and its entropy contribution will depend on the bulk logical state, resembling the effects of gravitational back-reactions in AdS. We will also discuss examples where exact complementary error correction breaks down. This results in a bulk region that can not be perfectly reconstructed from either boundary subregions in a bipartition of the boundary physical qubits. In these instances, we find that the reconstruction of certain bulk operators from a boundary subregion becomes subspace-dependent.

For more information, please contact Bonnie Leung by email at [email protected].