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Friday, November 02, 2018
12:00 PM - 1:00 PM
East Bridge 114

IQIM Postdoctoral and Graduate Student Seminar

Quantum Error-Correcting Codes in Low-Energy Subspaces
Eugene Tang, Graduate Student, Preskill Group,

Abstract: Recent observations involving the error-correcting properties of holography and the Eigenstate Thermalization Hypothesis has prompted a look into quantum error-correcting codes present within the low-energy subspaces of physical systems. For a more detailed investigation into low-energy subspaces, a useful tool is the formalism of Matrix Product States, which serve as good approximations to low-energy eigenstates. After a review of the basic properties of quantum error-correcting codes and matrix product states, we will show how low-energy eigenstates of 1D translationally invariant gapped Hamiltonians constructed from a matrix product state can form quantum error-correcting codes.

Joint work with Martina Gschwendtner, Robert König, Burak Şahinoğlu

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