Reduced Space-Time and Time Costs Using Dislocation Codes and Arbitrary Ancillas

S. B. Bravyi and A. Y. Kitaev, “Quantum codes on a lattice with boundary,” (1998), arXiv:quant-ph/9811052

1998

Earlier work this paper cites.

M. H. Freedman and D. A. Meyer, Foundations of Computational Mathematics, 1

2001

Earlier work this paper cites.

A. Honecker, M. Picco, and P. Pujol, “Nishimori point in the 2D ±J random-bond Ising model,” Phys. Ref. Lett. 87

2001

Earlier work this paper cites.

E. Dennis, A. Y. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. 43

2002

Earlier work this paper cites.

A. Y. Kitaev, Annals of Physics 303

2003

Earlier work this paper cites.

S. Bravyi and A. Kitaev, “Universal quantum computation with ideal Clifford gates and noisy ancillas”, Phys. Rev. A, 71

2005

Earlier work this paper cites.

P. Bonderson, M. Freedman, and C. Nayak, “Measurement-Only Topological Quantum Computation”, Phys. Rev. Lett. 101

2008

Cited alongside, same era.

A. G. Fowler, A. M. Stephens, and P. Groszkowski, “High threshold universal quantum computation on the surface code”, Phys. Rev. A 80

2009

Cited alongside, same era.

H. Bombin, Phys. Rev. Lett. 105

2010

Cited alongside, same era.

Y.-Z. You and X.-G. Wen, “Projective non-Abelian Statistics of Dislocation Defects in a Z N Z_{N} Rotor Model”, Phys. Rev. B 86

2012

Cited alongside, same era.

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: Towards practical large-scale quantum computation”, Phys. Rev. A 86

2012

Cited alongside, same era.

N. Cody Jones, J. D. Whitfield, P. L. McMahon, M.-H. Yung, R. Van Meter, A. Aspuru-Guzik, and Y. Yamamoto, “Simulating chemistry efficiently on fault-tolerant quantum computers”, New Journal of Physics 14

2013

Later among the works it cites.

M. Barkeshli, C.-M. Jian, and X.-L. Qi, “Theory of defects in Abelian topological states”, Phys. Rev. B 88

2013

Later among the works it cites.

Z.-Y. Xue, “Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system”, Eur. Phys. J. D 67

2013

Later among the works it cites.

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O‘Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, “ Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing”,Nature 508

2014

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