Built on

J. Medford, J. Beil, J. M. Taylor, S. D. Bartlett, A. C. Doherty, E. I. Rashba, D. P. DiVincenzo, H. Lu, A. C. Gossard, and C. M. Marcus, Nat Nano 8
Original
1933
Earlier work this paper cites.
J. M. Gambetta, F. Motzoi, S. T. Merkel, and F. K. Wilhelm, Phys. Rev. A 83
Original
1949
Earlier work this paper cites.
D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Nature 408
2000
Earlier work this paper cites.
P. Aliferis and B. M. Terhal, Quant. Inf. Comput. 7
2007
Earlier work this paper cites.
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, Phys. Rev. A 77
Original
2007
Earlier work this paper cites.
J. Benhelm, G. Kirchmair, C. F. Roos, and R. Blatt, Nat Phys 4
Original
2008
Earlier work this paper cites.
H. Häffner, C. F. Roos, and R. Blatt, Physics reports 469
Original
2008
Earlier work this paper cites.
F. Motzoi, J. M. Gambetta, P. Rebentrost, and F. K. Wilhelm, Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
H. M. Wiseman and G. J. Milburn, Quantum measurement and control (Cambridge University Press, 2009)
2009
Earlier work this paper cites.
E. Lucero, J. Kelly, R. C. Bialczak, M. Lenander, M. Mariantoni, M. Neeley, A. D. O’Connell, D. Sank, H. Wang, M. Weides, J. Wenner, T. Yamamoto, A. N. Cleland, and J. M. Martinis, Phys. Rev. A 82
Original
2010
Earlier work this paper cites.
J. M. Chow, L. DiCarlo, J. M. Gambetta, F. Motzoi, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 82
Original
2010
Earlier work this paper cites.

Similar

E. Magesan, J. M. Gambetta, and J. Emerson, Phys. Rev. Lett. 106
Original
2011
Cited alongside, same era.
E. Magesan, J. M. Gambetta, and J. Emerson, Phys. Rev. A 85
Original
2012
Cited alongside, same era.
A. G. Fowler, Phys. Rev. A 88
Original
2013
Cited alongside, same era.
S. T. Merkel, J. M. Gambetta, J. A. Smolin, S. Poletto, A. D. Córcoles, B. R. Johnson, C. A. Ryan, and M. Steffen, Phys. Rev. A 87
Original
2013
Cited alongside, same era.
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O/’Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, Nature 508

Then

C. J. Wood, J. D. Biamonte, and D. G. Cory, Quant. Inf. Comp. 15
Original
2015
Later among the works it cites.
S. Sheldon, E. Magesan, J. M. Chow, and J. M. Gambetta, Phys. Rev. A 93
Original
2016
Later among the works it cites.
C. J. Ballance, T. P. Harty, N. M. Linke, M. A. Sepiol, and D. M. Lucas, Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
J. J. Wallman, M. Barnhill, and J. Emerson, New Journal of Physics 18
2016
Later among the works it cites.
Z. Chen, J. Kelly, C. Quintana, R. Barends, B. Campbell, Y. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Lucero, E. Jeffrey, A. Megrant, J. Mutus, M. Neeley, C. Neill, P. J. J. O’Malley, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, T. C. White, A. N. Korotkov, and J. M. Martinis, Phys. Rev. Lett. 116
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2017

Quantification and Characterization of Leakage Errors

Wood, Christopher J., Gambetta, Jay M.

Understand

We present a general framework for the quantification and characterization of leakage errors that result when a quantum system is encoded in the subspace of a larger system.

To do this we introduce new metrics for quantifying the coherent and incoherent properties of the resulting errors, and we illustrate this framework with several examples relevant to superconducting qubits.
In particular, we propose two quantities: the leakage and seepage rates, which together with average gate fidelity allow for characterizing the average performance of quantum gates in the presence of leakage and show how the randomized benchmarking protocol can be modified to enable the robust estimation of all three quantities for a Clifford gate set.

Built on

J. Medford, J. Beil, J. M. Taylor, S. D. Bartlett, A. C. Doherty, E. I. Rashba, D. P. DiVincenzo, H. Lu, A. C. Gossard, and C. M. Marcus, Nat Nano 8
Original
1933
Earlier work this paper cites.
J. M. Gambetta, F. Motzoi, S. T. Merkel, and F. K. Wilhelm, Phys. Rev. A 83
Original
1949
Earlier work this paper cites.
D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Nature 408
2000
Earlier work this paper cites.
P. Aliferis and B. M. Terhal, Quant. Inf. Comput. 7
2007
Earlier work this paper cites.
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, Phys. Rev. A 77
Original
2007
Earlier work this paper cites.
J. Benhelm, G. Kirchmair, C. F. Roos, and R. Blatt, Nat Phys 4
Original
2008
Earlier work this paper cites.
H. Häffner, C. F. Roos, and R. Blatt, Physics reports 469
Original
2008
Earlier work this paper cites.
F. Motzoi, J. M. Gambetta, P. Rebentrost, and F. K. Wilhelm, Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
H. M. Wiseman and G. J. Milburn, Quantum measurement and control (Cambridge University Press, 2009)
2009
Earlier work this paper cites.
E. Lucero, J. Kelly, R. C. Bialczak, M. Lenander, M. Mariantoni, M. Neeley, A. D. O’Connell, D. Sank, H. Wang, M. Weides, J. Wenner, T. Yamamoto, A. N. Cleland, and J. M. Martinis, Phys. Rev. A 82
Original
2010
Earlier work this paper cites.
J. M. Chow, L. DiCarlo, J. M. Gambetta, F. Motzoi, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 82
Original
2010
Earlier work this paper cites.

Similar

E. Magesan, J. M. Gambetta, and J. Emerson, Phys. Rev. Lett. 106
Original
2011
Cited alongside, same era.
E. Magesan, J. M. Gambetta, and J. Emerson, Phys. Rev. A 85
Original
2012
Cited alongside, same era.
A. G. Fowler, Phys. Rev. A 88
Original
2013
Cited alongside, same era.
S. T. Merkel, J. M. Gambetta, J. A. Smolin, S. Poletto, A. D. Córcoles, B. R. Johnson, C. A. Ryan, and M. Steffen, Phys. Rev. A 87
Original
2013
Cited alongside, same era.
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O/’Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, Nature 508

Then

C. J. Wood, J. D. Biamonte, and D. G. Cory, Quant. Inf. Comp. 15
Original
2015
Later among the works it cites.
S. Sheldon, E. Magesan, J. M. Chow, and J. M. Gambetta, Phys. Rev. A 93
Original
2016
Later among the works it cites.
C. J. Ballance, T. P. Harty, N. M. Linke, M. A. Sepiol, and D. M. Lucas, Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
J. J. Wallman, M. Barnhill, and J. Emerson, New Journal of Physics 18
2016
Later among the works it cites.
Z. Chen, J. Kelly, C. Quintana, R. Barends, B. Campbell, Y. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Lucero, E. Jeffrey, A. Megrant, J. Mutus, M. Neeley, C. Neill, P. J. J. O’Malley, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, T. C. White, A. N. Korotkov, and J. M. Martinis, Phys. Rev. Lett. 116
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2014

Cited alongside, same era.

M. P. Wardrop and A. C. Doherty, Phys. Rev. B 90

Original

2014

Cited alongside, same era.

J. M. Epstein, A. W. Cross, E. Magesan, and J. M. Gambetta, Phys. Rev. A 89

Original

2014

Cited alongside, same era.

M. Suchara, A. W. Cross, and J. M. Gambetta, Quant. Inf. Comp. 15

Original

2015

Cited alongside, same era.

S. Mehl, Phys. Rev. B 91

Original

2015

Cited alongside, same era.

T. Chasseur and F. K. Wilhelm, Phys. Rev. A 92

Original

2015

Cited alongside, same era.

This result follows directly from the definitions for leakage and seepage. For a given CPTP map ℰ {\cal E} we have d 1 L 1 ( ℰ ) = Tr ⁡ [ 𝟙 2 ℰ ( 𝟙 1 ) ] = Tr ⁡ [ 𝟙 2 ℰ ( 𝟙 ) ] − d 2 ( 1 − L 2 ( ℰ ) ) d_{1}L_{1}({\cal E})=\Tr[{\bb 1}_{2}{\cal E}({\bb 1}_{1})]=\Tr[{\bb 1}_{2}{\cal E}({\bb 1})]-d_{2}(1-L_{2}({\cal E})) . Now, if ℰ {\cal E} is unital then Tr ⁡ [ 𝟙 2 ℰ ( 𝟙 ) ] = Tr ⁡ [ 𝟙 2 ] = d 2 \Tr[{\bb 1}_{2}{\cal E}({\bb 1})]=\Tr[{\bb 1}_{2}]=d_{2} , and hence d 1 L 1 ( ℰ ) = d 2 L 2 ( ℰ ) d_{1}L_{1}({\cal E})=d_{2}L_{2}({\cal E})

Cited in the paper.

2016

Later among the works it cites.

D. C. McKay, C. J. Wood, S. Sheldon, J. M. Chow, and J. M. Gambetta, arXiv:1612.00858 [quant-ph] (2016)

Original

2016

Later among the works it cites.

J. P. Dehollain, J. T. Muhonen, R. Blume-Kohout, K. M. Rudinger, J. K. Gamble, E. Nielsen, A. Laucht, S. Simmons, R. Kalra, A. S. Dzurak, and A. Morello, New Journal of Physics 18

Original

2016

Later among the works it cites.

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, Phys. Rev. Lett. 117