Fetching the paper…
Reading the bibliography…
Randomized benchmarking is a promising tool for characterizing the noise in experimental implementations of quantum systems.
Wassily Hoeffding, “Probability Inequalities for Sums of Bounded Random Variables,” J. Am. Stat. Assoc. 58
1963
Earlier work this paper cites.
L Mirsky, “A trace inequality of John von Neumann,” Monatshefte für Math. 79
1975
Earlier work this paper cites.
David E Evans and R. Hoegh-Krohn, “Spectral Properties of Positive Maps on C ∗ C^{*} -Algebras,” J. London Math. Soc. 17
1978
Earlier work this paper cites.
Isaac L. Chuang and Michael A. Nielsen, “Prescription for experimental determination of the dynamics of a quantum black box,” J. Mod. Opt. 44
1997
Earlier work this paper cites.
J. Poyatos, J. Cirac, and P. Zoller, “Complete Characterization of a Quantum Process: The Two-Bit Quantum Gate,” Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
A Yu Kitaev, “Quantum computations: algorithms and error correction,” Russ. Math. Surv. 52
1997
Earlier work this paper cites.
Rajendra Bhatia, Matrix Analysis (Springer, 1997)
1997
Earlier work this paper cites.
Christopher A. Fuchs and Jeroen Van De Graaf, “Cryptographic Distinguishability Measures for Quantum-Mechanical States,” Inf. Theory, IEEE Trans. 45
1999
Earlier work this paper cites.
Michał Horodecki, Paweł Horodecki, and Ryszard Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60
1999
Earlier work this paper cites.
Michael A. Nielsen, “A simple formula for the average gate fidelity of a quantum dynamical operation,” Phys. Lett. A 303
2002
Earlier work this paper cites.
Mary Beth Ruskai, Stanislaw Szarek, and Elisabeth Werner, “An analysis of completely-positive trace-preserving maps on,” Linear Algebra Appl. 347
2002
Earlier work this paper cites.
Joseph Emerson, Robert Alicki, and Karol Życzkowski, “Scalable noise estimation with random unitary operators,” J. Opt. B Quantum Semiclassical Opt. 7
2005
Earlier work this paper cites.
Alexei Gilchrist, Nathan Langford, and Michael Nielsen, “Distance measures to compare real and ideal quantum processes,” Phys. Rev. A 71
2005
Cited alongside, same era.
David Pérez-García, Michael M. Wolf, Denes Petz, and Mary Beth Ruskai, “Contractivity of positive and trace-preserving maps under L p L_{p} norms,” J. Math. Phys. 47
2006
Cited alongside, same era.
David Gross, K. Audenaert, and Jens Eisert, “Evenly distributed unitaries: On the structure of unitary designs,” J. Math. Phys. 48
2007
Cited alongside, same era.
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Randomized benchmarking of quantum gates,” Phys. Rev. A 77
2008
Cited alongside, same era.
Michael M. Wolf and J. Ignacio Cirac, “Dividing Quantum Channels,” Commun. Math. Phys. 279
2008
Steven T. Flammia and Yi-Kai Liu, “Direct Fidelity Estimation from Few Pauli Measurements,” Phys. Rev. Lett. 106
2011
Later among the works it cites.
K. R. Brown, A. C. Wilson, Y. Colombe, C. Ospelkaus, A. M. Meier, E. Knill, D. Leibfried, and D. J. Wineland, “Single-qubit-gate error below 10 − 4 10^{-4} in a trapped ion,” Phys. Rev. A 84
2011
Later among the works it cites.
Steven T. Flammia, David Gross, Yi-Kai Liu, and Jens Eisert, “Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators,” New J. Phys. 14
2012
Later among the works it cites.
J. P. Gaebler, A. M. Meier, T. R. Tan, R. Bowler, Y. Lin, D. Hanneke, J. D. Jost, J. P. Home, E. Knill, D. Leibfried, and D. J. Wineland, “Randomized Benchmarking of Multiqubit Gates,” Phys. Rev. Lett. 108
2012
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.
2009
Cited alongside, same era.
Christoph Dankert, Richard Cleve, Joseph Emerson, and Etera Livine, “Exact and approximate unitary 2-designs and their application to fidelity estimation,” Phys. Rev. A 80
2009
Cited alongside, same era.
Roe Goodman and Nolan R. Wallach, Symmetry, Representations, and Invariants , Graduate Texts in Mathematics (Springer, 2009)
2009
Cited alongside, same era.
David Gross, Yi-Kai Liu, Steven T. Flammia, Stephen Becker, and Jens Eisert, “Quantum State Tomography via Compressed Sensing,” Phys. Rev. Lett. 105
2010
Cited alongside, same era.
M. Sanz, D. Pérez-García, M. M. Wolf, and J. I. Cirac, “A quantum version of Wielandt’s inequality,” IEEE Trans. Info. Theory 56
2010
Cited alongside, same era.
Easwar Magesan, Jay M. Gambetta, and Joseph Emerson, “Scalable and Robust Randomized Benchmarking of Quantum Processes,” Phys. Rev. Lett. 106
2011
Cited alongside, same era.
Marcus P. da Silva, Olivier Landon-Cardinal, and David Poulin, “Practical Characterization of Quantum Devices without Tomography,” Phys. Rev. Lett. 107
2011
Cited alongside, same era.
Jay M. Gambetta, A. D. Córcoles, Seth T. Merkel, Blake R. Johnson, John A. Smolin, Jerry M. Chow, Colm A. Ryan, Chad Rigetti, S. Poletto, Thomas a. Ohki, Mark B. Ketchen, and M. Steffen, “Characterization of Addressability by Simultaneous Randomized Benchmarking,” Phys. Rev. Lett. 109
2012
Later among the works it cites.
2012
Later among the works it cites.
Seth T. Merkel, Jay M. Gambetta, John A. Smolin, Stefano Poletto, Antonio D. Córcoles, Blake R. Johnson, Colm A. Ryan, and Matthias Steffen, “Self-consistent quantum process tomography,” Phys. Rev. A 87
2013
Later among the works it cites.
2013
Later among the works it cites.
Jeffrey M Epstein, Andrew W Cross, Easwar Magesan, and Jay M Gambetta, “Investigating the limits of randomized benchmarking protocols,” Phys. Rev. A 89
2014
Closest in time.
2014
Closest in time.
Shelby Kimmel, Marcus P. da Silva, Colm A. Ryan, Blake R. Johnson, and Thomas A. Ohki, “Robust Extraction of Tomographic Information via Randomized Benchmarking,” Phys. Rev. X 4
2014
Closest in time.
B. R. Johnson, C. A. Ryan, M. P. da Silva, S. Kimmel, and T. Ohki, in preparation (2014)
2014
Closest in time.