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A big open question in the quantum information theory concerns feasibility of a self-correcting quantum memory.
Markovian master equations
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Percolation, 2ed
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A reader’s guide to Gács’s “positive rates” paper
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Topological quantum memory
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill · 2002
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An object-oriented random-number package with many long streams and substreams
P. L’Ecuyer, R. Simard, E. J. Chen, and W. D. Kelton · 2002
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Fault-tolerant quantum computation by anyons
A. Yu. Kitaev · 2003
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Analysis of quantum error-correcting codes: symplectic lattice codes and toric codes
J. Harrington · 2004
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Quantum glassiness
C. Chamon · 2005
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Operator quantum error correcting subsystems for self-correcting quantum memories
D. Bacon · 2006
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Entanglement and topological entropy of the toric code at finite temperature
C. Castelnovo and C. Chamon · 2007
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Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
L. Fu and C. L. Kane · 2008
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Quantum self-correcting stabilizer codes
A. Kay and R. Colbeck · 2008
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Non-abelian anyons and topological quantum computation
C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma · 2008
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Autocorrelations and thermal fragility of anyonic loops in topologicallyquantum ordered systems
Z. Nussinov and G. Ortiz · 2008
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On thermalization in Kitaev’s 2D model
R. Alicki, M. Fannes, and M. Horodecki · 2009
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A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
S. Bravyi and B. M. Terhal · 2009
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Thermodynamic stability criteria for a quantum memory based on stabilizer and subsystem codes
Generic new platform for topological quantum computation using semiconductor heterostructures
J. D. Sau, R. M. Lutchyn, S. Tewari, and S. Das Sarma · 2010
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Non-abelian statistics and topological quantum information processing in 1D wire networks
J. Alicea, Y. Oreg, G. Refael, F. von Oppen, and M. P. A. Fisher · 2011
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On the energy landscape of 3D spin hamiltonians with topological order
S. Bravyi and J. Haah · 2011
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A short proof of stability of topological order under local perturbations
S. Bravyi and M. B. Hastings · 2011
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Disorder-assisted error correction in Majorana chains
S. Bravyi and R. Köenig · 2011
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Topological order in an exactly solvable 3D spin model
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S. Chesi, D. Loss, S. Bravyi, and B. M. Terhal · 2009
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Fast decoders for topological quantum codes
G. Duclos-Cianci and D. Poulin · 2009
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Toric-boson model: Toward a topological quantum memory at finite temperature
A. Hamma, C. Castelnovo, and C. Chamon · 2009
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Topological quantum computing with Read-Rezayi states
L. Hormozi, N. E. Bonesteel, and S. H. Simon · 2009
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On thermal stability of topological qubit in Kitaev’s 4D model
R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki · 2010
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In-place algorithm for connected components labeling
T. Asano and H. Tanaka · 2010
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Topological quantum order: stability under local perturbations
S. Bravyi, M. Hastings, and S. Michalakis · 2010
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S. Bravyi, B. Leemhuis, and B. M. Terhal · 2011
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Local stabilizer codes in three dimensions without string logical operators
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Topological order at non-zero temperature
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An improved connected component labeling by recursive label propagation
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Stability of frustration-free hamiltonians
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Quantum memories based on engineered dissipation
F. Pastawski, L. Clemente, and J. I. Cirac · 2011
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Majorana fermions in semiconductor nanowires
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Localization of toric code defects
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Bringing order through disorder: Localisation of errors in topological quantum memories
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Feasibility of self-correcting quantum memory and thermal stability of topological order
B. Yoshida · 2011
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