2D Compass Codes

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...

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Bibliographic Details
Published in:Physical review. X Vol. 9; no. 2; p. 021041
Main Authors: Li, Muyuan, Miller, Daniel, Newman, Michael, Wu, Yukai, Brown, Kenneth R.
Format: Journal Article
Language:English
Published: College Park American Physical Society 29.05.2019
Subjects:
Asymmetry
Circuits
Codes
Couplings
Error correcting codes
Error correction
Fault tolerance
Noise
Quantum chemistry
Quantum computing
Quantum phenomena
Qubits (quantum computing)
Robustness
Subsystems
Thresholds
Two dimensional models
ISSN:2160-3308, 2160-3308
Online Access:Get full text
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Summary: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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ISSN:2160-3308
2160-3308
DOI:10.1103/PhysRevX.9.021041