Finite temperature protocols for stabilizer codes with few measurements

ORAL

Abstract

We present an analysis of a new class of algorithms for finite temperature stabilizer error correction codes with stringlike errors. In particular, we treat algorithms that only require measurements of a subset of stabilizer operators, and we elaborate on how this restriction affects the thresholds of known stabilizer codes like the toric code. Using a mixture of continuous-time Monte Carlo and quantum master equation methods, we provide explicit calculations of the nonequilibrium dynamics for these codes, as well as temperature-dependent error correction thresholds.

*This work is supported by the Department of Energy Office of Science Graduate Student Research Program (SCGSR).

Authors

  • C. Daniel Freeman

    • Univ of California - Berkeley
  • Mohan Sarovar

    • Sandia National Laboratory
    • Sandia National Laboratories, Livermore, USA
    • Sandia National Laboratories
  • Chris Herdman

    • University of Waterloo
  • K. Birgitta Whaley

    • University of California, Berkeley
    • Univ of California - Berkeley
    • UC Berkeley