IQIM Postdoctoral and Graduate Student Seminar

Friday November 2, 2018 12:00 PM

Quantum Error-Correcting Codes in Low-Energy Subspaces

Speaker: Eugene Tang, Preskill Group
Location: East Bridge 114

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

Series IQIM Postdoctoral and Graduate Student Seminar Series

Contact: Marcia Brown at 626-395-4013