Subsystem codes Academic Article uri icon

abstract

  • We investigate various aspects of operator quantum error-correcting codes or, as we prefer to call them, subsystem codes. We give various methods to derive subsystem codes from classical codes. We give a proof for the existence of subsystem codes using a counting argument similar to the quantum Gilbert-Varshamov bound. We derive linear programming bounds and other upper bounds. We answer the question whether or not there exist [[n; n2d+2; r > 0; d]]q subsystem codes. Finally, we compare stabilizer and subsystem codes with respect to the required number of syndrome qudits.

author list (cited authors)

  • Aly, S. A., Klappenecker, A., & Sarvepalli, P. K.

publication date

  • January 2006