Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.107.270502
Title: Capabilities of a perturbed toric code as a quantum memory
Authors: Kay, A. 
Issue Date: 29-Dec-2011
Citation: Kay, A. (2011-12-29). Capabilities of a perturbed toric code as a quantum memory. Physical Review Letters 107 (27) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.107.270502
Abstract: 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. © 2011 American Physical Society.
Source Title: Physical Review Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/112390
ISSN: 00319007
DOI: 10.1103/PhysRevLett.107.270502
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