Capabilities of a Perturbed Toric Code as a Quantum Memory
Capabilities of a Perturbed Toric Code as a Quantum Memory
We analyze the effect of typical, unknown perturbations on the 2D toric code when acting as a quantum memory, incorporating the effects of error correction on readout. By transforming the system into a 1D transverse Ising model undergoing an instantaneous quench, and making extensive use of Lieb-Robinson bounds, we prove …