Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 27, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.270502
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Funding
- National Research Foundation
- Ministry of Education, Singapore
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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 that for a large class of perturbations, the survival time of stored information grows at least logarithmically with the system size. A uniform magnetic field saturates this scaling behavior. We show that randomizing the stabilizer strengths gives a polynomial survival time with a degree that depends on the strength of the perturbation.
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