Fetching the paper…
Reading the bibliography…
We introduce a technique that uses gauge fixing to significantly improve the quantum error correcting performance of subsystem codes.
J. Edmonds, Paths, trees, and flowers, Canadian Journal of mathematics 17
1965
Earlier work this paper cites.
D. Gottesman, Stabilizer codes and quantum error correction, arXiv preprint quant-ph/9705052 (1997)
1997
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
M. H. Freedman, D. A. Meyer, and F. Luo, Z2-systolic freedom and quantum codes, Mathematics of quantum computation, Chapman & Hall/CRC , 287 (2002)
2002
Earlier work this paper cites.
C. Wang, J. Harrington, and J. Preskill, Confinement-higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory, Annals of Physics 303
2003
Earlier work this paper cites.
D. Poulin, Stabilizer formalism for operator quantum error correction, Physical review letters 95
2005
Earlier work this paper cites.
J. Erickson and K. Whittlesey, Greedy optimal homotopy and homology generators, in SODA , Vol. 5 (2005) pp. 1038–1046
2005
Earlier work this paper cites.
D. Bacon, Operator quantum error-correcting subsystems for self-correcting quantum memories, Physical Review A 73
2006
Earlier work this paper cites.
P. Aliferis and A. W. Cross, Subsystem fault tolerance with the bacon-shor code, Physical review letters 98
2007
Earlier work this paper cites.
H. Bombín and M. A. Martin-Delgado, Optimal resources for topological two-dimensional stabilizer codes: Comparative study, Physical Review A 76
2007
Earlier work this paper cites.
R. Raussendorf, J. Harrington, and K. Goyal, Topological fault-tolerance in cluster state quantum computation, New Journal of Physics 9
2007
Earlier work this paper cites.
P. Aliferis and J. Preskill, Fault-tolerant quantum computation against biased noise, Physical Review A 78
2008
Earlier work this paper cites.
V. Kolmogorov, Blossom v: a new implementation of a minimum cost perfect matching algorithm, Mathematical Programming Computation 1
2009
Earlier work this paper cites.
H. Bombín and M. A. Martin-Delgado, Quantum measurements and gates by code deformation, Journal of Physics A: Mathematical and Theoretical 42
2009
Earlier work this paper cites.
H. Bombín, Topological subsystem codes, Physical review A 81
2010
Earlier work this paper cites.
M. Suchara, S. Bravyi, and B. Terhal, Constructions and noise threshold of topological subsystem codes, Journal of Physics A: Mathematical and Theoretical 44
2011
Earlier work this paper cites.
D. S. Wang, A. G. Fowler, and L. C. Hollenberg, Surface code quantum computing with error rates over 1%, Physical Review A 83
2011
Earlier work this paper cites.
K. Fujii and Y. Tokunaga, Error and loss tolerances of surface codes with general lattice structures, Physical Review A 86
2012
Earlier work this paper cites.
C. Horsman, A. G. Fowler, S. Devitt, and R. Van Meter, Surface code quantum computing by lattice surgery, New Journal of Physics 14
2012
Earlier work this paper cites.
J.-P. Tillich and G. Zémor, Quantum ldpc codes with positive rate and minimum distance proportional to the square root of the blocklength, IEEE Transactions on Information Theory 60
2013
Earlier work this paper cites.
A. M. Stephens, W. J. Munro, and K. Nemoto, High-threshold topological quantum error correction against biased noise, Physical Review A 88
2013
Cited alongside, same era.
A. Paetznick and B. W. Reichardt, Universal fault-tolerant quantum computation with only transversal gates and error correction, Physical review letters 111
2013
Cited alongside, same era.
S. Bravyi, G. Duclos-Cianci, D. Poulin, and M. Suchara, Subsystem surface codes with three-qubit check operators, Quantum Information & Computation 13
2013
Cited alongside, same era.
D. P. DiVincenzo and F. Solgun, Multi-qubit parity measurement in circuit quantum electrodynamics, New Journal of Physics 15
2013
Cited alongside, same era.
L. Guth and A. Lubotzky, Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds, Journal of Mathematical Physics 55
2014
X. Xu, Q. Zhao, X. Yuan, and S. C. Benjamin, High-threshold code for modular hardware with asymmetric noise, Physical Review Applied 12
2019
Later among the works it cites.
M. Li, D. Miller, M. Newman, Y. Wu, and K. R. Brown, 2d compass codes, Physical Review X 9
2019
Later among the works it cites.
2019
Later among the works it cites.
C. Vuillot, L. Lao, B. Criger, C. G. Almudéver, K. Bertels, and B. M. Terhal, Code deformation and lattice surgery are gauge fixing, New Journal of Physics 21
2019
Later among the works it cites.
N. C. Brown, M. Newman, and K. R. Brown, Handling leakage with subsystem codes, New Journal of Physics 21
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
A. M. Stephens, Fault-tolerant thresholds for quantum error correction with the surface code, Physical Review A 89
2014
Cited alongside, same era.
N. H. Nickerson, J. F. Fitzsimons, and S. C. Benjamin, Freely scalable quantum technologies using cells of 5-to-50 qubits with very lossy and noisy photonic links, Physical Review X 4
2014
Cited alongside, same era.
B. M. Terhal, Quantum error correction for quantum memories, Reviews of Modern Physics 87
2015
Cited alongside, same era.
H. Bombin, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics 17
2015
Cited alongside, same era.
L. Mosher, When can a homomorphism be determined entirely by its generators, Mathematics Stack Exchange, https://math.stackexchange.com/q/1402612 (version: 2015-08-19)
2015
Cited alongside, same era.
N. P. Breuckmann and B. M. Terhal, Constructions and noise threshold of hyperbolic surface codes, IEEE transactions on Information Theory 62
2016
Cited alongside, same era.
B. J. Brown, N. H. Nickerson, and D. E. Browne, Fault-tolerant error correction with the gauge color code, Nature communications 7
2016
Cited alongside, same era.
A. J. Kollár, M. Fitzpatrick, and A. A. Houck, Hyperbolic lattices in circuit quantum electrodynamics, Nature 571
2019
Later among the works it cites.
J. Guillaud and M. Mirrahimi, Repetition cat qubits for fault-tolerant quantum computation, Physical Review X 9
2019
Later among the works it cites.
2020
Closest in time.
C. Chamberland, G. Zhu, T. J. Yoder, J. B. Hertzberg, and A. W. Cross, Topological and subsystem codes on low-degree graphs with flag qubits, Physical Review X 10
2020
Closest in time.
S. Puri, L. St-Jean, J. A. Gross, A. Grimm, N. E. Frattini, P. S. Iyer, A. Krishna, S. Touzard, L. Jiang, A. Blais, et al. , Bias-preserving gates with stabilized cat qubits, Science Advances 6
2020
Closest in time.
D. K. Tuckett, S. D. Bartlett, S. T. Flammia, and B. J. Brown, Fault-tolerant thresholds for the surface code in excess of 5% under biased noise, Physical Review Letters 124
2020
Closest in time.
2020
Closest in time.
2020
Closest in time.
2020
Closest in time.
2020
Closest in time.
N. P. Breuckmann and J. N. Eberhardt, Ldpc quantum codes, arXiv preprint arXiv:2103.06309 (2021)
2021
Closest in time.
2021
Closest in time.
P. Jurcevic, A. Javadi-Abhari, L. S. Bishop, I. Lauer, D. F. Bogorin, M. Brink, L. Capelluto, O. Günlük, T. Itoko, N. Kanazawa, et al. , Demonstration of quantum volume 64 on a superconducting quantum computing system, Quantum Science and Technology 6
2021
Closest in time.