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Current approaches for building quantum computing devices focus on two-level quantum systems which nicely mimic the concept of a classical bit, albeit enhanced with additional quantum properties.
H. Nishimori, Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model , Prog. Theor. Phys. 66
1981
Earlier work this paper cites.
R. Feynman, Quantum mechanical computers , Optics news 11
1985
Earlier work this paper cites.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory , Phys. Rev. A 52
1995
Earlier work this paper cites.
A. M. Steane, Error Correcting Codes in Quantum Theory , Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
K. Hukushima and K. Nemoto, Exchange Monte Carlo method and application to spin glass simulations , J. Phys. Soc. Jpn. 65
1996
Earlier work this paper cites.
P. W. Shor, Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer , SIAM J. Comp. 26
1997
Earlier work this paper cites.
M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Oxford University Press Inc., New York, USA, 1999)
1999
Earlier work this paper cites.
M. Palassini and S. Caracciolo, Universal Finite-Size Scaling Functions in the 3D Ising Spin Glass , Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
H. Bechmann-Pasquinucci and A. Peres, Quantum cryptography with 3-state systems , Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Entanglement of the orbital angular momentum states of photons , Nature 412
2001
Earlier work this paper cites.
M. A. Nielsen, M. J. Bremner, J. L. Dodd, A. M. Childs, and C. M. Dawson, Universal simulation of Hamiltonian dynamics for quantum systems with finite-dimensional state spaces , Phys. Rev. A 66
2002
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory , J. Math. Phys. 43
2002
Cited alongside, same era.
A. B. Klimov, R. Guzmán, J. C. Retamal, and C. Saavedra, Qutrit quantum computer with trapped ions , Phys. Rev. A 67
2003
Cited alongside, same era.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. 303
2003
Cited alongside, same era.
S. S. Bullock, D. P. O’Leary, and G. K. Brennen, Asymptotically optimal quantum circuits for d d -level systems , Phys. Rev. Lett. 94
2005
Cited alongside, same era.
H. Bombin and M. A. Martin-Delgado, Topological Quantum Distillation , Phys. Rev. Lett. 97
2006
Cited alongside, same era.
H. G. Katzgraber, S. Trebst, D. A. Huse, and M. Troyer, Feedback-optimized parallel tempering Monte Carlo , J. Stat. Mech. P03018 (2006)
H. G. Katzgraber, H. Bombin, R. S. Andrist, and M. A. Martin-Delgado, Topological color codes on Union Jack lattices: a stable implementation of the whole Clifford group , Phys. Rev. A 81
2010
Later among the works it cites.
M. Piani, D. Pitkanen, R. Kaltenbaek, and N. Lütkenhaus, Linear-optics realization of channels for single-photon multimode qudits , Phys. Rev. A 84
2011
Later among the works it cites.
R. S. Andrist, H. G. Katzgraber, H. Bombin, and M. A. Martin-Delgado, Tricolored Lattice Gauge Theory with Randomness: Fault-Tolerance in Topological Color Codes , New J. Phys. 13
2011
Later among the works it cites.
C. K. Thomas and H. G. Katzgraber, Simplest model to study reentrance in physical systems , Phys. Rev. E 84
2011
Later among the works it cites.
B. E. Mischuck, S. T. Merkel, and I. H. Deutsch, Control of inhomogeneous atomic ensembles of hyperfine qudits , Phys. Rev. A 85
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2006
Cited alongside, same era.
S. S. Bullock and G. K. Brennen, Qudit surface codes and gauge theory with finite cyclic groups , J. Phys. A 40
2007
Cited alongside, same era.
B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’Brien, A. Gilchrist, and A. G. White, Simplifying quantum logic using higher-dimensional Hilbert spaces , Nat. Phys. 5
2009
Cited alongside, same era.
M. Neeley, M. Ansmann, R. C. Bialczak, M. Hofheinz, E. Lucero, A. D. O’Connell, D. Sank, H. Wang, J. Wenner, A. N. Cleland, et al., Emulation of a Quantum Spin with a Superconducting Phase Qudit , Science 325
2009
Cited alongside, same era.
H. G. Katzgraber, H. Bombin, and M. A. Martin-Delgado, Error Threshold for Color Codes and Random 3-Body Ising Models , Phys. Rev. Lett. 103
2009
Cited alongside, same era.
See http://www.dwavesys.com
Cited in the paper.
2012
Later among the works it cites.
B. Röthlisberger, J. R. Wootton, R. M. Heath, J. K. Pachos, and D. Loss, Incoherent dynamics in the toric code subject to disorder , Phys. Rev. A 85
2012
Later among the works it cites.
H. Bombin, R. S. Andrist, M. Ohzeki, H. G. Katzgraber, and M. A. Martin-Delgado, Strong Resilience of Topological Codes to Depolarization , Phys. Rev. X 2
2012
Later among the works it cites.
G. Duclos-Cianci and D. Poulin, Kitaev’s ℤ d \mathbb{Z}_{d} -code threshold estimates , Phys. Rev. A. 87
2013
Later among the works it cites.
H. Anwar, B. J. Brown, E. T. Campbell, and D. E. Browne, Efficient Decoders for Qudit Topological Codes (2013), (arXiv/quant-ph:1311.4895)
2013
Later among the works it cites.
D. Nigg, M. Mueller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt, Experimental Quantum Computations on a Topologically Encoded Qubit (2014), (arxiv:quant-phys/1403.5426)
2014
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