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We suggest concrete models for self-correcting quantum memory by reporting examples of local stabilizer codes in 3D that have no string logical operators.
A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
Sergey Bravyi and Barbara Terhal · 1983
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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
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Fault-tolerant quantum computation by anyons
A. Yu. Kitaev · 2003
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Quantum glassiness
Claudio Chamon · 2005
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Operator quantum error correcting subsystems for self-correcting quantum memories
Dave Bacon · 2006
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Autocorrelations and thermal fragility of anyonic loops in topologically quantum ordered systems
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Alastair Kay and Roger Colbeck · 2008
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Thermodynamic stability criteria for a quantum memory based on stabilizer and subsystem codes
Stefano Chesi, Daniel Loss, Sergey Bravyi, and Barbara M. Terhal · 2009
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R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki · 2010
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Logical operator tradeoff for local quantum codes
Jeongwan Haah and John Preskill · 2010
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Exactly solvable 3d quantum model with finite temperature topological order
Isaac H. Kim · 2010
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Tradeoffs for reliable quantum information storage in 2d systems
Sergey Bravyi, David Poulin, and Barbara Terhal · 2010
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In preparation
Sergey Bravyi and Jeongwan Haah
Cited in the paper.
Sergey Bravyi, Bernhard Leemhuis, and Barbara M. Terhal · 2010
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