Built on

C. G. Brell, S. T. Flammia, S. D. Bartlett, and A. C. Doherty, New Journal of Physics 13
Original
1942
Earlier work this paper cites.
P. W. Shor, Phys. Rev. A 52
1995
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E. Knill, Nature 434
2005
Earlier work this paper cites.
J. Emerson, R. Alicki, and K. Życzkowski, J. Opt. B Quantum Semiclassical Opt. 7
2005
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H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 97
2006
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D. Bacon, Phys. Rev. A 73
2006
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D. Gross, K. Audenaert, and J. Eisert, J. Math. Phys. 48
2007
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E. Knill, D. Leibfried, R. Reichle, J. Britton, R. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, Phys. Rev. A 77
2008
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C. Dankert, R. Cleve, J. Emerson, and E. Livine, Phys. Rev. A 80
2009
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R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, et al. , Nature 508
Original
2014
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D. Nigg, M. Muller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt, Science 345
Original
2014
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J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Y. Chen, et al. , Nature 519
Original
2015
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A. Carignan-Dugas, J. J. Wallman, and J. Emerson, Phys. Rev. A 92
Original
2015
Earlier work this paper cites.

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2015
Cited alongside, same era.
M. A. Fogarty, M. Veldhorst, R. Harper, C. H. Yang, S. D. Bartlett, S. T. Flammia, and A. S. Dzurak, Physical Review A 92
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2016
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2016
Cited alongside, same era.
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Original

Then

A. Robertson, C. Granade, S. D. Bartlett, and S. T. Flammia, Phys. Rev. Applied 8
Original
2017
Later among the works it cites.
A. W. Cross, L. S. Bishop, J. A. Smolin, and J. M. Gambetta, (2017), arXiv:1707.03429
Original
2017
Later among the works it cites.
P. J. Coles, S. Eidenbenz, S. Pakin, A. Adedoyin, J. Ambrosiano, P. Anisimov, W. Casper, G. Chennupati, C. Coffrin, H. Djidjev, et al. , (2018), arXiv:1804.03719
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2018
Closest in time.
D. Willsch, M. Nocon, F. Jin, H. De Raedt, and K. Michielsen, (2018), arXiv:1805.05227
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Closest in time.
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2018
Closest in time.

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2018

Fault-Tolerant Logical Gates in the IBM Quantum Experience

Harper, Robin, Flammia, Steven T.

Understand

Quantum computers will require encoding of quantum information to protect them from noise.

Fault-tolerant quantum computing architectures illustrate how this might be done but have not yet shown a conclusive practical advantage.
Here we demonstrate that a small but useful error detecting code improves the fidelity of the fault-tolerant gates implemented in the code space as compared to the fidelity of physically equivalent gates implemented on physical qubits.
By running a randomized benchmarking protocol in the logical code space of the [4,2,2] code, we observe an order of magnitude improvement in the infidelity of the gates, with the two-qubit infidelity dropping from 5.8(2)% to 0.60(3)%.

Built on

C. G. Brell, S. T. Flammia, S. D. Bartlett, and A. C. Doherty, New Journal of Physics 13
Original
1942
Earlier work this paper cites.
P. W. Shor, Phys. Rev. A 52
1995
Earlier work this paper cites.
E. Knill, Nature 434
2005
Earlier work this paper cites.
J. Emerson, R. Alicki, and K. Życzkowski, J. Opt. B Quantum Semiclassical Opt. 7
2005
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
D. Bacon, Phys. Rev. A 73
2006
Earlier work this paper cites.
D. Gross, K. Audenaert, and J. Eisert, J. Math. Phys. 48
2007
Earlier work this paper cites.
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, Phys. Rev. A 77
2008
Earlier work this paper cites.
C. Dankert, R. Cleve, J. Emerson, and E. Livine, Phys. Rev. A 80
2009
Earlier work this paper cites.
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, et al. , Nature 508
Original
2014
Earlier work this paper cites.
D. Nigg, M. Muller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt, Science 345
Original
2014
Earlier work this paper cites.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Y. Chen, et al. , Nature 519
Original
2015
Earlier work this paper cites.
A. Carignan-Dugas, J. J. Wallman, and J. Emerson, Phys. Rev. A 92
Original
2015
Earlier work this paper cites.

Similar

J. T. Muhonen, A. Laucht, S. Simmons, J. P. Dehollain, R. Kalra, F. E. Hudson, S. Freer, K. M. Itoh, D. N. Jamieson, J. C. McCallum, et al. , J. Phys.: Cond. Mat. 27
2015
Cited alongside, same era.
M. A. Fogarty, M. Veldhorst, R. Harper, C. H. Yang, S. D. Bartlett, S. T. Flammia, and A. S. Dzurak, Physical Review A 92
Original
2015
Cited alongside, same era.
B. Criger and B. Terhal, Quant. Info. Comput. 16
Original
2016
Cited alongside, same era.
N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. M. Girvin, L. Jiang, et al. , Nature 536
Original
2016
Cited alongside, same era.
D. Gottesman, (2016), arXiv:1610.03507
Original

Then

A. Robertson, C. Granade, S. D. Bartlett, and S. T. Flammia, Phys. Rev. Applied 8
Original
2017
Later among the works it cites.
A. W. Cross, L. S. Bishop, J. A. Smolin, and J. M. Gambetta, (2017), arXiv:1707.03429
Original
2017
Later among the works it cites.
P. J. Coles, S. Eidenbenz, S. Pakin, A. Adedoyin, J. Ambrosiano, P. Anisimov, W. Casper, G. Chennupati, C. Coffrin, H. Djidjev, et al. , (2018), arXiv:1804.03719
Original
2018
Closest in time.
D. Willsch, M. Nocon, F. Jin, H. De Raedt, and K. Michielsen, (2018), arXiv:1805.05227
Original
2018
Closest in time.
J. J. Wallman, Quantum 2
2018
Closest in time.

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Open on alphaXiv

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2016

Cited alongside, same era.

R. Balu, D. Castillo, and G. Siopsis, (2017), arXiv:1710.03615

Original

2017

Cited alongside, same era.

D. Ristè, M. P. da Silva, C. A. Ryan, A. W. Cross, A. D. Córcoles, J. A. Smolin, J. M. Gambetta, J. M. Chow, and B. R. Johnson, npj Quantum Information 3

2017

Cited alongside, same era.

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, Science Advances 3

2017

Cited alongside, same era.

M. Takita, A. W. Cross, A. Córcoles, J. M. Chow, and J. M. Gambetta, Phys. Rev. Lett. 119

Original

2017

Cited alongside, same era.

J. R. Wootton and D. Loss, (2017), arXiv:1709.00990

Original

2017