PIRSA:18110052

Quantum Error-Correcting Codes in the Low Energy Subspaces

Sahinoglu, M.B. (2018). Quantum Error-Correcting Codes in the Low Energy Subspaces. Perimeter Institute. https://pirsa.org/18110052

Sahinoglu, Mehmet Burak. Quantum Error-Correcting Codes in the Low Energy Subspaces. Perimeter Institute, Nov. 07, 2018, https://pirsa.org/18110052 

          @misc{ pirsa_PIRSA:18110052,
            doi = {10.48660/18110052},
            url = {https://pirsa.org/18110052},
            author = {Sahinoglu, Mehmet Burak},
            keywords = {Quantum Information},
            language = {en},
            title = {Quantum Error-Correcting Codes in the Low Energy Subspaces},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110052 see, \url{https://pirsa.org}}
          }

Mehmet Burak Sahinoglu California Institute of Technology

DOI 10.48660/18110052
Collection
Talk Type Scientific Series
Subject

Abstract

Recent years have shown that error correction is one of the most fundamental ingredients of various physical phenomena, from topological order to holography. However, only toy models and fixed point ground states could have been studied, even though the error-correcting properties are expected to hold generally in the low energy subspace.

In this talk, we will employ Matrix Product State formalism and see how low energy eigenstates of 1D translationally invariant Hamiltonians can form quantum error-correcting codes. Before diving into the results, we will review the necessary basics of quantum error correction and matrix product states.

Joint work with Martina Gschwendtner, Robert Koenig and Eugene Tang.