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2D Compass Codes

Publication ,  Journal Article
Li, M; Miller, D; Newman, M; Wu, Y; Brown, KR
Published in: Physical Review X
May 29, 2019

The compass model on a square lattice provides a natural template for building subsystem stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of possible codes depending on how many gauge qubits are fixed. We explore threshold behavior in this broad class of local codes by trading locality for asymmetry and gauge degrees of freedom for stabilizer syndrome information. We analyze these codes with asymmetric and spatially inhomogeneous Pauli noise in the code capacity and phenomenological models. In these idealized settings, we observe considerably higher thresholds against asymmetric noise. At the circuit level, these codes inherit the bare-ancilla fault tolerance of the Bacon-Shor code.

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Published In

Physical Review X

DOI

EISSN

2160-3308

Publication Date

May 29, 2019

Volume

9

Issue

2

Related Subject Headings

  • 51 Physical sciences
  • 0206 Quantum Physics
  • 0204 Condensed Matter Physics
  • 0201 Astronomical and Space Sciences
 

Citation

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Li, M., Miller, D., Newman, M., Wu, Y., & Brown, K. R. (2019). 2D Compass Codes. Physical Review X, 9(2). https://doi.org/10.1103/PhysRevX.9.021041
Li, M., D. Miller, M. Newman, Y. Wu, and K. R. Brown. “2D Compass Codes.” Physical Review X 9, no. 2 (May 29, 2019). https://doi.org/10.1103/PhysRevX.9.021041.
Li M, Miller D, Newman M, Wu Y, Brown KR. 2D Compass Codes. Physical Review X. 2019 May 29;9(2).
Li, M., et al. “2D Compass Codes.” Physical Review X, vol. 9, no. 2, May 2019. Scopus, doi:10.1103/PhysRevX.9.021041.
Li M, Miller D, Newman M, Wu Y, Brown KR. 2D Compass Codes. Physical Review X. 2019 May 29;9(2).

Published In

Physical Review X

DOI

EISSN

2160-3308

Publication Date

May 29, 2019

Volume

9

Issue

2

Related Subject Headings

  • 51 Physical sciences
  • 0206 Quantum Physics
  • 0204 Condensed Matter Physics
  • 0201 Astronomical and Space Sciences