Error suppression and error correction in adiabatic quantum computation I: techniques and challenges

Daniel Gottesman, Stabilizer codes and quantum error correction , Ph.D. thesis, California Institute of Technology (1997)

1997

Earlier work this paper cites.

Lorenza Viola, Emanuel Knill, and Seth Lloyd, “Dynamical decoupling of open quantum systems,” Phys. Rev. Lett. 82

1999

Earlier work this paper cites.

Edward Farhi, Jeffrey Goldstone, Sam Gutmann, and Michael Sipser, “Quantum computation by adiabatic evolution,” (2000), arXiv:quant-ph/0001106

2000

Earlier work this paper cites.

JA Oteo and J. Ros, “From time-ordered products to Magnus expansion,” J. Math. Phys. 41

2000

Earlier work this paper cites.

A M Childs, E Farhi, and J Preskill, “Robustness of adiabatic quantum computation,” Phys. Rev. A 65

2001

Earlier work this paper cites.

Jérémie Roland and Nicolas J. Cerf, “Quantum search by local adiabatic evolution,” Phys. Rev. A 65

2002

Earlier work this paper cites.

Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill, “Topological quantum memory,” J. Math. Phys. 43

2002

Earlier work this paper cites.

A. Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics 303

2003

Earlier work this paper cites.

P Facchi, D. A. Lidar, and S Pascazio, “Unification of dynamical decoupling and the quantum Zeno effect,” Phys. Rev. A 69

2004

Earlier work this paper cites.

F Gaitan, “Simulation of quantum adiabatic search in the presence of noise,” Int. J. Quant. Inf. 4

2006

Earlier work this paper cites.

Stephen Jordan, Edward Farhi, and Peter Shor, “Error-correcting codes for adiabatic quantum computation,” Phys. Rev. A 74

2006

Earlier work this paper cites.

M Tiersch and R Schutzhold, “Non-Markovian decoherence in the adiabatic quantum search algorithm,” Phys. Rev. A 75

2007

Cited alongside, same era.

Götz S. Uhrig, “Keeping a quantum bit alive by optimized π \pi -pulse sequences,” Phys. Rev. Lett. 98

2007

Cited alongside, same era.

Graeme Smith and John A. Smolin, “Degenerate quantum codes for pauli channels,” Phys. Rev. Lett. 98

2007

Cited alongside, same era.

D. A. Lidar, “Towards fault tolerant adiabatic quantum computation,” Phys. Rev. Lett. 100

2008

Cited alongside, same era.

Frank Gaitan, Quantum error correction and fault tolerant quantum computing (CRC Press, 2008)

2008

Cited alongside, same era.

Stephen P. Jordan and Edward Farhi, “Perturbative gadgets at arbitrary orders,” Phys. Rev. A 77

M W Johnson, P Bunyk, F Maibaum, E Tolkacheva, A J Berkley, E M Chapple, R Harris, J Johansson, T Lanting, I Perminov, E Ladizinsky, T Oh, and G Rose, “A scalable control system for a superconducting adiabatic quantum optimization processor,” Superconductor Science and Technology 23

2010

Later among the works it cites.

Jeongwan Haah, “Local stabilizer codes in three dimensions without string logical operators,” Phys. Rev. A 83

2011

Later among the works it cites.

Gerardo Paz-Silva, A Rezakhani, Jason Dominy, and D. Lidar, “Zeno Effect for Quantum Computation and Control,” Phys. Rev. Lett. 108

2012

Later among the works it cites.

Gregory Quiroz and Daniel A. Lidar, “High-fidelity adiabatic quantum computation via dynamical decoupling,” Phys. Rev. A 86

2012

Later among the works it cites.

N Cody Jones, Thaddeus D Ladd, and Bryan H Fong, “Dynamical decoupling of a qubit with always-on control fields,” (2012), arXiv:quant-ph/1205.2402