IQIM Postdoctoral and Graduate Student Seminar
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