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We study the performance of Bacon-Shor codes, quantum subsystem codes which are well suited for applications to fault-tolerant quantum memory because the error syndrome can be extracted by performing two-qubit measurements.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory, Phys. Rev. A 52, 2493 (1995)
1995
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P. W. Shor, Fault-tolerant quantum computation, in Proceedings, 37th Annual Symposium on Foundations of Computer Science, pp. 56-65 (Los Alamitos, CA, IEEE Press, 1996), arXiv:quan-ph/9605011
1996
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N. Madras and G. Slade, The Self-Avoiding Walk
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E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, J. Math. Phys. 43, 4452-4505 (2002), arXiv:quant-ph/0110143
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C. Wang, J. Harrington, and J. Preskill, Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory, Annals of Physics 303, 31-58 (2003), arXiv:quant-ph/0207088
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I. Jensen, Enumeration of self-avoiding walks on the square lattice, J. Phys. A 37, 5503-5524 (2004), arXiv:cond-mat/0404728
2004
Cited alongside, same era.
D. Poulin, Stabilizer formalism for operator quantum error correction, Phys. Rev. Lett. 95, 230504 (2005). arXiv: quant-ph/0508131
2005
Cited alongside, same era.
D. Bacon, Operator quantum error-correcting subsystems for self-correcting quantum memories, Phys. Rev. A 73, 012340 (2006), arXiv:quant-ph/0506023
2006
Cited alongside, same era.
D. W. Kribs, R. Laflamme, D. Poulin, and M. Lesosky, Operator quantum error correction, QIC 6, 382-399 (2006), arXiv:quant-ph/0504189
2006
Cited alongside, same era.
P. Aliferis and A. W. Cross, Subsystem fault tolerance with the Bacon-Shor code, Phys. Rev. Lett. 98, 220502 (2007), arXiv:quant-ph/0610063
2007
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
P. Brooks and J. Preskill, Fault-tolerant quantum computation with asymmetric Bacon-Shor codes, unpublished (2012)
2012
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