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We study subsystem codes whose gauge group has local generators in the 2D geometry.
Good Quantum Error-Correcting Codes Exist
A. Calderbank and P. Shor · 1996
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Quantum Error Correction and Orthogonal Geometry
A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane · 1997
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Topological quantum memory
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill · 2002
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Stabilizer Formalism for Operator Quantum Error Correction
D. Poulin · 2005
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H. Bombin and M. A. Martin-Delgado · 2006
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Operator quantum error-correcting subsystems for self-correcting quantum memories
D. Bacon · 2006
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Quantum Error Correcting Subsystem Codes From Two Classical Linear Codes
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Fault-Tolerant Quantum Computation with High Threshold in Two Dimensions
R. Raussendorf and J. Harrington · 2007
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Topological fault-tolerance in cluster state quantum computation
R. Raussendorf, J. Harrington, and K. Goyal · 2007
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Subsystem Fault Tolerance with the Bacon-Shor Code
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F. Pastawski, A. Kay, N. Schuch, and I. Cirac · 2009
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Tricolored Lattice Gauge Theory with Randomness: Fault-Tolerance in Topological Color Codes
R. S. Andrist, H. G. Katzgraber, H. Bombin, and M. A. Martin-Delgado · 2010
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Topological color codes on union jack lattices: A stable implementation of the whole clifford group
H. G. Katzgraber, H. Bombin, R. S. Andrist, and M. A. Martin-Delgado · 2010
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Tradeoffs for reliable quantum information storage in 2D systems
S. Bravyi, D. Poulin, and B. M. Terhal · 2010
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Framework for classifying logical operators in stabilizer codes
B. Yoshida and I. L. Chuang · 2010
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D. P. DiVincenzo · 2009
Cited alongside, same era.
A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
S. Bravyi and B. M. Terhal · 2009
Cited alongside, same era.
Topological subsystem codes
H. Bombin · 2010
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Clifford gates by code deformation
H. Bombin · 2010
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