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We analyze randomized benchmarking for arbitrary gate-dependent noise and prove that the exact impact of gate-dependent noise can be described by a single perturbation term that decays exponentially with the sequence length.
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Easwar Magesan, Jay M. Gambetta, Blake R. Johnson, Colm A. Ryan, Jerry M. Chow, Seth T. Merkel, Marcus P. da Silva, George A. Keefe, Mary B. Rothwell, Thomas A. Ohki, Mark B. Ketchen, and Matthias Steffen, Efficient Measurement of Quantum Gate Error by Interleaved Randomized Benchmarking, Physical Review Letters 109
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Joel J. Wallman, Christopher Granade, Robin Harper, and Steven T. Flammia, Estimating the Coherence of Noise, New Journal of Physics 17
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Tobias Chasseur and Frank K. Wilhelm, Complete randomized benchmarking protocol accounting for leakage errors, Physical Review A 92
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Christopher Granade, Christopher Ferrie, and David G. Cory, Accelerated randomized benchmarking, New Journal of Physics 17
2015
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2012
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Daniel M. Reich, Giulia Gualdi, and Christiane P. Koch, Optimal Strategies for Estimating the Average Fidelity of Quantum Gates, Physical Review Letters 111
2013
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Antonio D. Córcoles, Jay M. Gambetta, Jerry M. Chow, John A. Smolin, Matthew Ware, Joel Strand, B. L. T. Plourde, and Matthias Steffen, Process verification of two-qubit quantum gates by randomized benchmarking, Physical Review A 87
2013
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R. Barends, Julian Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, Austin G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. J. J. O‘Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and John M. Martinis, Superconducting quantum circuits at the surface code threshold for fault tolerance. Nature 508
2014
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Julian Kelly, R. Barends, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, Austin G. Fowler, I.-C. Hoi, E. Jeffrey, A. Megrant, J. Mutus, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, T. C. White, A. N. Cleland, and John M. Martinis, Optimal Quantum Control Using Randomized Benchmarking, Physical Review Letters 112
2014
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Jeffrey M. Epstein, Andrew W. Cross, Easwar Magesan, and Jay M. Gambetta, Investigating the limits of randomized benchmarking protocols, Physical Review A 89
2014
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Joel J. Wallman, and Steven T. Flammia, Randomized benchmarking with confidence, New Journal of Physics 16
2014
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Cited in the paper.
Joel J. Wallman, Marie Barnhill, and Joseph Emerson, Robust characterization of leakage errors, New Journal of Physics 18
2016
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Andrew W. Cross, Easwar Magesan, Lev S. Bishop, John A. Smolin, and Jay M. Gambetta, Scalable randomised benchmarking of non-Clifford gates, npj Quantum Information 2
2016
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Harrison Ball, Thomas M. Stace, Steven T. Flammia, and Michael J. Biercuk, Effect of noise correlations on randomized benchmarking, Physical Review A 93
2016
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Yuval R. Sanders, Joel J. Wallman, and Barry C. Sanders, Bounding quantum gate error rate based on reported average fidelity, New Journal of Physics 18
2016
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Timothy Proctor, Kenneth Rudinger, Kevin Young, Mohan Sarovar, and Robin Blume-kohout, What randomized benchmarking actually measures, Physical Review Letters 119
2017
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Robin Blume-Kohout, John King Gamble, Erik Nielsen, Kenneth Rudinger, Jonathan Mizrahi, Kevin Fortier, and Peter Maunz, Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography, Nature Communications 8
2017
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