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In the context of measurement-based quantum computation a way of maintaining the coherence of a graph state is to measure its stabilizer operators.
B. Buchberger, Ein Algorithmus zum Auffinden der Ba- siselemente des Restklassenringes nach einem nulldimen- sionalen Polynomideal
1965
Earlier work this paper cites.
R. M. Gray, Toeplitz and circulant matrices: A review (Information Systems Laboratory, Stanford Electronics Laboratories, Stanford Univ., 1971)
1971
Earlier work this paper cites.
R. Kannan and A. Bachem, “Polynomial algorithms for computing the smith and hermite normal forms of an integer matrix,” SIAM Journal on Computing 8
1979
Earlier work this paper cites.
D. Gottesman, “Stabilizer codes and quantum error correction,” Preprint arXiv:quant-ph/9705052 (1997)
1997
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, “Quantum codes on a lattice with boundary,” Preprint arXiv:quant-ph/9811052 (1998)
1998
Earlier work this paper cites.
D. A. Lidar, I. L. Chuang, and K. B. Whaley, “Decoherence-free subspaces for quantum computation,” Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
W. Dür, H. J. Briegel, J. I. Cirac, and P. Zoller, “Quantum repeaters based on entanglement purification,” Phys. Rev. A 59
1999
Earlier work this paper cites.
J.-C. Faugére, “A new efficient algorithm for computing Gröbner bases (f4),” Journal of Pure and Applied Algebra 139
1999
Earlier work this paper cites.
R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
Hans J. Briegel and Robert Raussendorf, “Persistent entanglement in arrays of interacting particles,” Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
R. Raussendorf, D. E. Browne, and H. J. Briegel, “Measurement-based quantum computation on cluster states,” Phys. Rev. A 68
2003
Earlier work this paper cites.
D. A. Lidar and B. K. Whaley, “Decoherence-free sub-spaces and subsystems,” Irreversible Quantum Dynamics
2003
Earlier work this paper cites.
M. Bardet, “On the complexity of a Gröbner basis algorithm,” in Algorithms Seminar, 2002–2004
2005
Cited alongside, same era.
M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Van den Nest, and H. J. Briegel, “Entanglement in graph states and its applications,” IOS Press Proceedings of the International School of Physics “Enrico Fermi”, 162
2006
Cited alongside, same era.
T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, “Quantum computers,” Nature 464
2010
Cited alongside, same era.
M. Zwerger, W. Dür, and H. J. Briegel, “Measurement-based quantum repeaters,” Phys. Rev. A 85
2012
Cited alongside, same era.
T. Moroder, M. Kleinmann, P. Schindler, T. Monz, O. Gühne, and R. Blatt, “Certifying systematic errors in quantum experiments,” Phys. Rev. Lett. 110
2013
Cited alongside, same era.
2014
Later among the works it cites.
N. Wiebe, C. Granade, C. Ferrie, and D. Cory, “Quantum Hamiltonian learning using imperfect quantum resources,” Phys. Rev. A 89
2014
Later among the works it cites.
M. Zwerger and W. Briegel, H. J.and Dür, “Hybrid architecture for encoded measurement-based quantum computation,” Sci. Rep. 4
2014
Later among the works it cites.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, Z. Chen, B. Chiaro, A. Dunsworth, I.-C. Hoi, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and John M. Martinis, “State preservation by repetitive error detection in a superconducting quantum circuit,” Nature 519
2015
Closest in time.
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L. Schwarz and S. J. van Enk, “Error models in quantum computation: An application of model selection,” Phys. Rev. A 88
2013
Cited alongside, same era.
D. A. Lidar and T. A. Brun, Quantum error correction
2013
Cited alongside, same era.
B. Brandstätter, A. McClung, K. Schüppert, B. Casabone, K. Friebe, A. Stute, P. O. Schmidt, C. Deutsch, J. Reichel, R. Blatt, and T. E. Northup, “Integrated fiber-mirror ion trap for strong ion-cavity coupling,” Rev. Sci. Instrum. 84
2013
Cited alongside, same era.
S. Noschese, L. Pasquini, and L. Reichel, “Tridiagonal Toeplitz matrices: Properties and novel applications,” Numerical Linear Algebra with Applications 20, 302–326 (2013)
2013
Cited alongside, same era.
D. Nigg, M. Müller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt, “Quantum computations on a topologically encoded qubit,” Science 345
2014
Cited alongside, same era.
2014
Cited alongside, same era.
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Cited in the paper.
J. M. Hornibrook, J. I. Colless, I. D. Conway Lamb, S. J. Pauka, H. Lu, A. C. Gossard, J. D. Watson, G. C. Gardner, S. Fallahi, M. J. Manfra, and D. J. Reilly, “Cryogenic control architecture for large-scale quantum computing,” Phys. Rev. Applied 3
2015
Closest in time.
J. Carolan, C. Harrold, C.and Sparrow, E.e Martín-López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349
2015
Closest in time.
Yang Wang, Xianli Zhang, T. A. Corcovilos, A. Kumar, and D. S. Weiss, “Coherent addressing of individual neutral atoms in a 3d optical lattice,” Phys. Rev. Lett. 115
2015
Closest in time.
M. Tiersch, E. J. Ganahl, and H. J. Briegel, “Adaptive quantum computation in changing environments using projective simulation,” Sci. Rep. 5
2015
Closest in time.
C. Ferrie and O. Moussa, “Robust and efficient in situ quantum control,” Phys. Rev. A 91
2015
Closest in time.
S. Omkar, R. Srikanth, and S. Banerjee, “Characterization of quantum dynamics using quantum error correction,” Phys. Rev. A 91
2015
Closest in time.