Martin Suchara, Princeton University
Abstract
Topological subsystem codes proposed recently by Bombin [1] are quantum error correcting codes defined on a two-dimensional grid of qubits that permit reliable quantum information storage with a constant error threshold. These codes require only the measurement of two-qubit nearest-neighbor operators for error correction. We study topological subsystem codes systematically, and identify one particular subsystem code, which we call the five-squares code. We describe and implement several candidate decoding algorithms for the five-squares code, assuming perfect error correction. Our Monte Carlo simulations indicate that the five-squares code has a threshold against depolarizing noise of at least 2%.
[1] H. Bombin, “Topological subsystem codes,” Phys. Rev. A, vol. 81, no. 3, pp. 032301, Mar. 2010.
Authors: Martin Suchara, Sergey Bravyi, and Barbara Terha