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We present a hardware agnostic error mitigation algorithm for near term quantum processors inspired by the classical Lanczos method.
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
Cornelius Lanczos · 1950
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An operator calculus having applications in quantum electrodynamics
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Properties of bethe-salpeter wave functions
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Error correcting codes in quantum theory
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Good quantum error-correcting codes exist
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Unambiguous proof for berry’s phase in the sodium trimer: Analysis of the transition a 2 e ′′ ← x 2 e ′ {\mathit{a}}^{2}{\mathit{e}}^{{}^{\prime\prime}}\leftarrow{\mathit{x}}^{2}{\mathit{e}}^{{}^{\prime}}
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Detecting highly entangled states with a joint qubit readout
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Quantum Computation and Quantum Information: 10th Anniversary Edition
Michael A. Nielsen and Isaac L. Chuang · 2010
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Matrix computations , volume 3
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J. Love, Alán Aspuru-Guzik, and Jeremy L. O’Brien · 2014
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A quantum approximate optimization algorithm
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Progress towards practical quantum variational algorithms
Dave Wecker, Matthew B. Hastings, and Matthias Troyer · 2015
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Colm A. Ryan, Blake R. Johnson, Jay M. Gambetta, Jerry M. Chow, Marcus P. da Silva, Oliver E. Dial, and Thomas A. Ohki · 2015
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The theory of variational hybrid quantum-classical algorithms
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik · 2016
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Scalable quantum simulation of molecular energies
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis · 2016
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Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M. Chow, and Jay M. Gambetta · 2017
Quantum hardware simulating four-dimensional inelastic neutron scattering
A Chiesa, F Tacchino, M Grossi, P Santini, I Tavernelli, D Gerace, and S Carretta · 2019
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Experimental error mitigation via symmetry verification in a variational quantum eigensolver
R. Sagastizabal, X. Bonet-Monroig, M. Singh, M. A. Rol, C. C. Bultink, X. Fu, C. H. Price, V. P. Ostroukh, N. Muthusubramanian, A. Bruno, M. Beekman, N. Haider, T. E. O’Brien, and L. DiCarlo · 2019
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Error-mitigated digital quantum simulation
Sam McArdle, Xiao Yuan, and Simon Benjamin · 2019
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Quantum computation with universal error mitigation on a superconducting quantum processor
Chao Song, Jing Cui, H. Wang, J. Hao, H. Feng, and Ying Li · 2019
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Detector tomography on ibm quantum computers and mitigation of an imperfect measurement
Yanzhu Chen, Maziar Farahzad, Shinjae Yoo, and Tzu-Chieh Wei · 2019
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Efficient variational quantum simulator incorporating active error minimization
Ying Li and Simon C. Benjamin · 2017
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Kristan Temme, Sergey Bravyi, and Jay M. Gambetta · 2017
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Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states
Jarrod R. McClean, Mollie E. Kimchi-Schwartz, Jonathan Carter, and Wibe A. de Jong · 2017
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Tapering off qubits to simulate fermionic hamiltonians
Sergey Bravyi, Jay M Gambetta, Antonio Mezzacapo, and Kristan Temme · 2017
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Quantum Computing in the NISQ era and beyond
John Preskill · 2018
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Quantum algorithms for electronic structure calculations: Particle-hole Hamiltonian and optimized wave-function expansions
Panagiotis Kl Barkoutsos, Jerome F. Gonthier, Igor Sokolov, Nikolaj Moll, Gian Salis, Andreas Fuhrer, Marc Ganzhorn, Daniel J. Egger, Matthias Troyer, Antonio Mezzacapo, Stefan Filipp, and Ivano Tavernelli · 2018
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Cloud quantum computing of an atomic nucleus
E. F. Dumitrescu, A. J. McCaskey, G. Hagen, G. R. Jansen, T. D. Morris, T. Papenbrock, R. C. Pooser, D. J. Dean, and P. Lougovski · 2018
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Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
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Quantum implementation of an artificial feed-forward neural network
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