PIRSA:07060029

Subsystem Quantum Error Correcting Codes

Casaccino, A. (2007). Subsystem Quantum Error Correcting Codes. Perimeter Institute. https://pirsa.org/07060029

Casaccino, Andrea. Subsystem Quantum Error Correcting Codes. Perimeter Institute, Jun. 01, 2007, https://pirsa.org/07060029 

          @misc{ pirsa_PIRSA:07060029,
            doi = {10.48660/07060029},
            url = {https://pirsa.org/07060029},
            author = {Casaccino, Andrea},
            keywords = {Quantum Information},
            language = {en},
            title = {Subsystem Quantum Error Correcting Codes},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {jun},
            note = {PIRSA:07060029 see, \url{https://pirsa.org}}
          }

Andrea Casaccino University of Siena

Talk numberPIRSA:07060029
DOI10.48660/07060029
Collection
Talk Type Conference
Subject

Abstract

The essential insight of quantum error correction was that quantum information can be protected by suitably encoding this quantum information across multiple independently erred quantum systems. Recently it was realized that, since the most general method for encoding quantum information is to encode it into a subsystem, there exists a novel form of quantum error correction beyond the traditional quantum error correcting subspace codes. These new quantum error correcting subsystem codes differ from subspace codes in that their quantum correcting routines can be considerably simpler than related subspace codes. Here we present a class of quantum error correcting subsystem codes constructed from two classical linear codes. These codes are the subsystem versions of the quantum error correcting subspace codes which are generalizations of Shor’s original quantum error correcting subspace codes. For every Shor-type code, the codes we present give a considerable savings in the number of stabilizer measurements needed in their error recovery routines.