Tradeoffs for reliable quantum information storage in surface codes and color codes

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Good quantum error-correcting codes exist

Calderbank, A., and Shor, P · 1996

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Multiple-particle interference and quantum error correction

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Širáň, J · 2000

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Z2-systolic freedom and quantum codes

Freedman, M., Meyer, D., and Luo, F · 2002

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Algebraic topology

Hatcher, A · 2002

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Fault-tolerant quantum computation by anyons

Kitaev, A · 2003

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Topological quantum distillation

Bombin, H., and Martin-Delgado, M · 2006

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Homological error correction: Classical and quantum codes

Bombin, H., and Martin-Delgado, M · 2007

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Quantum LDPC codes with positive rate and minimum distance proportional to n 1 / 2 n^{1/2}

Tillich, J.-P., and Zémor, G · 2009

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On cayley graphs, surface codes, and the limits of homological coding for quantum error correction

Zémor, G · 2009

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Topological subsystem codes

Bombin, H · 2010

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Tradeoffs for reliable quantum information storage in 2D systems

Bravyi, S., Poulin, D., and Terhal, B · 2010

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Quantum erasure-correcting codes and percolation on regular tilings of the hyperbolic plane

Delfosse, N., and Zémor, G · 2010

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A construction of quantum LDPC codes from cayley graphs

Couvreur, A., Delfosse, N., and Zémor, G · 2011

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Constructions et performances de codes LDPC quantiques

Delfosse, N · 2012

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Bounding the distance of quantum surface codes

Fetaya, E · 2012

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