Fetching the paper…
Reading the bibliography…
We introduce a differential geometric framework for describing families of quantum error-correcting codes and for understanding quantum fault tolerance.
F. W. Warner, Foundations of Differentiable Manifolds and Lie Groups
1983
Earlier work this paper cites.
M. Nakahara, Geometry, Topology and Physics
1990
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, W. K. Wootters, “Mixed State Entanglement and Quantum Error Correction”, Phys. Rev. A
1996
Earlier work this paper cites.
R. Laflamme, C. Miquel, J. P. Paz, W. H. Zurek, “Perfect Quantum Error Correcting Code”, Phys. Rev. Lett
1996
Earlier work this paper cites.
P. W. Shor, “Fault-tolerant quantum computation”, Proc. 37th Symp. on Foundations of Computing (FOCS ’96)
1996
Earlier work this paper cites.
G. E. Bredon, Topology and Geometry
1997
Earlier work this paper cites.
E. Knill and R. Laflamme, “Theory of Quantum Error-Correcting Codes”, Phys. Rev. A
1997
Earlier work this paper cites.
D. Mayers, “Unconditionally secure quantum bit commitment is impossible,” Phys. Rev. Lett
1997
Earlier work this paper cites.
D. Gottesman, “Theory of fault-tolerant quantum computation”, Phys. Rev. A
1998
Cited alongside, same era.
M. Grassl, M. Roetteler, T. Beth, “Computing Local Invariants of Qubit Systems”, Phys. Rev. A
1998
Cited alongside, same era.
D. Gottesman and I. Chuang, “Demonstrating the Viability of Universal Quantum Computation Using Teleportation and Single-Qubit Operations”, Nature
1999
Cited alongside, same era.
E. Rains, “Quantum codes of minimum distance two”, IEEE Trans. Info. Theory
1999
Cited alongside, same era.
J. R. Munkres, Topology
2000
Cited alongside, same era.
E. Rains, “Polynomial invariants of quantum codes”, IEEE Trans. Info. Theory
2000
Cited alongside, same era.
S. Bravyi and A. Kitaev, “Universal Quantum Computation with ideal Clifford gates and noisy ancillas”, Phys. Rev. A
2005
Later among the works it cites.
M. Levin and X.-G. Wen, “String-net condensation: A physical mechanism for topological phases,” Phys. Rev. B
2005
Later among the works it cites.
P. Aliferis, D. Gottesman, J. Preskill, “Quantum accuracy threshold for concatenated distance-3 codes”, Quant. Information and Computation
2006
Later among the works it cites.
D. Aharonov and M. Ben-Or, “Fault-Tolerant Quantum Computation with Constant Error Rate”, SIAM J. Comput
2008
Later among the works it cites.
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Freedman, M. Larsen, Z. Wang, “A modular functor which is universal for quantum computation”, Commun. Math. Physics
2002
Cited alongside, same era.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons”, Annals of Physics
2003
Cited alongside, same era.
E. Dennis, A. Yu. Kitaev, A. Landahl, J. Preskill, “Topological quantum memory”, Journal of Mathematical Physics
Cited in the paper.
E. Knill, “Non-binary Unitary Error Bases and Quantum Codes”, arXiv:quant-ph/9608048
Cited in the paper.
2009
Later among the works it cites.
2010
Later among the works it cites.
“Homotopy lifting property”, Wikipedia entry, http://en.wikipedia.org/wiki/Homotopy_lifting_property, retrieved January 6, 2013
2013
Closest in time.