Built on

William J. Huggins, Jarrod McClean, Nicholas Rubin, Zhang Jiang, Nathan Wiebe, K. Birgitta Whaley, and Ryan Babbush, “Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers,”
Original
1907
Earlier work this paper cites.
Pauline J Ollitrault, Abhinav Kandala, Chun-Fu Chen, Panagiotis Kl Barkoutsos, Antonio Mezzacapo, Marco Pistoia, Sarah Sheldon, Stefan Woerner, Jay Gambetta, and Ivano Tavernelli, “Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor,”
Original
1910
Earlier work this paper cites.
Ho Lun Tang, V. O. Shkolnikov, George S. Barron, Harper R. Grimsley, Nicholas J. Mayhall, Edwin Barnes, and Sophia E. Economou, “qubit-adapt-vqe: An adaptive algorithm for constructing hardware-efficient ansatze on a quantum processor,”
Original
1911
Earlier work this paper cites.
J. Hubbard and Brian Hilton Flowers, “Electron correlations in narrow energy bands,”
1963
Earlier work this paper cites.
Michael R. Geller and Mingyu Sun, “Efficient correction of multiqubit measurement errors,”
Original
2001
Earlier work this paper cites.
Sergey B. Bravyi and Alexei Yu. Kitaev, “Fermionic quantum computation,”
2002
Earlier work this paper cites.
Kathleen E. Hamilton, Tyler Kharazi, Titus Morris, Alexander J. McCaskey, Ryan S. Bennink, and Raphael C. Pooser, “Scalable quantum processor noise characterization,”
Original
2006
Earlier work this paper cites.
Sergey Bravyi, Sarah Sheldon, Abhinav Kandala, David C. Mckay, and Jay M. Gambetta, “Mitigating measurement errors in multi-qubit experiments,”
Original
2006
Earlier work this paper cites.
Petar Jurcevic, Ali Javadi-Abhari, Lev S. Bishop, Isaac Lauer, Daniela F. Bogorin, Markus Brink, Lauren Capelluto, Oktay Günlük, Toshinaro Itoko, Naoki Kanazawa, Abhinav Kandala, George A. Keefe, Kevin Kruslich, William Landers, Eric P. Lewandowski, Douglas T. McClure, Giacomo Nannicini, Adinath Narasgond, Hasan M. Nayfeh, Emily Pritchett, Mary Beth Rothwell, Srikanth Srinivasan, Neereja Sundaresan, Cindy Wang, Ken X. Wei, Christopher J. Wood, Jeng-Bang Yau, Eric J. Zhang, Oliver E. Dial, Jerry M. Chow, and Jay M. Gambetta, “Demonstration of quantum volume 64 on a superconducting quantum computing system,”
Original
2008
Earlier work this paper cites.
R. C. Bialczak, M. Ansmann, M. Hofheinz, E. Lucero, M. Neeley, A. D. O’Connell, D. Sank, H. Wang, J. Wenner, M. Steffen, and et al., “Quantum process tomography of a universal entangling gate implemented with josephson phase qubits,”
Original
2010
Earlier work this paper cites.
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann, “A quantum approximate optimization algorithm,”
Original
2014
Earlier work this paper cites.
A. Peruzzo, J.McClean, P. Shadbolt, M.-H.Yung, X.-Q. Zhou, P.J. Love, A. Aspuru-Guzik, and J. L. O’Brien, “A variational eigenvalue solver on a photonic quantum processor,”
2014
Earlier work this paper cites.
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, “Scalable quantum simulation of molecular energies,”
2016
Earlier work this paper cites.
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik, “The theory of variational hybrid quantum-classical algorithms,”
2016
Earlier work this paper cites.

Similar

Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M Chow, and Jay M Gambetta, “Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,”
2017
Cited alongside, same era.
J. S. Otterbach, R. Manenti, N. Alidoust, A. Bestwick, M. Block, B. Bloom, S. Caldwell, N. Didier, E. Schuyler Fried, S. Hong, P. Karalekas, C. B. Osborn, A. Papageorge, E. C. Peterson, G. Prawiroatmodjo, N. Rubin, Colm A. Ryan, D. Scarabelli, M. Scheer, E. A. Sete, P. Sivarajah, Robert S. Smith, A. Staley, N. Tezak, W. J. Zeng, A. Hudson, Blake R. Johnson, M. Reagor, M. P. da Silva, and C. Rigetti, “Unsupervised Machine Learning on a Hybrid Quantum Computer,”
Original
2017
Cited alongside, same era.
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta, “Error mitigation for short-depth quantum circuits,”
2017
Cited alongside, same era.
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. de Jong, and I. Siddiqi, “Computation of molecular spectra on a quantum processor with an error-resilient algorithm,”
2018

Then

D. Zhu, N. M. Linke, M. Benedetti, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A. Perdomo-Ortiz, N. Korda, A. Garfoot, C. Brecque, L. Egan, O. Perdomo, and C. Monroe, “Training of quantum circuits on a hybrid quantum computer,”
2019
Later among the works it cites.
Yanzhu Chen, Maziar Farahzad, Shinjae Yoo, and Tzu-Chieh Wei, “Detector tomography on ibm quantum computers and mitigation of an imperfect measurement,”
2019
Later among the works it cites.
Abhinav Kandala, Kristan Temme, Antonio D Córcoles, Antonio Mezzacapo, Jerry M Chow, and Jay M Gambetta, “Error mitigation extends the computational reach of a noisy quantum processor,”
2019
Later among the works it cites.
https://github.com/qiskit/qiskit, “Qiskit: An open-source framework for quantum computing,”
2019
Later among the works it cites.
Maria Schuld, Ville Bergholm, Christian Gogolin, Josh Izaac, and Nathan Killoran, “Evaluating analytic gradients on quantum hardware,”

Beyond the bibliography

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

Open on alphaXiv

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Reading the bibliography…

2020

Measurement Error Mitigation for Variational Quantum Algorithms

Barron, George S., Wood, Christopher J.

Understand

Variational Quantum Algorithms (VQAs) are a promising application for near-term quantum processors, however the quality of their results is greatly limited by noise.

For this reason, various error mitigation techniques have emerged to deal with noise that can be applied to these algorithms.
Recent work introduced a technique for mitigating expectation values against correlated measurement errors that can be applied to measurements of 10s of qubits.
We apply these techniques to VQAs and demonstrate its effectiveness in improving estimates to the cost function.

Built on

William J. Huggins, Jarrod McClean, Nicholas Rubin, Zhang Jiang, Nathan Wiebe, K. Birgitta Whaley, and Ryan Babbush, “Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers,”
Original
1907
Earlier work this paper cites.
Pauline J Ollitrault, Abhinav Kandala, Chun-Fu Chen, Panagiotis Kl Barkoutsos, Antonio Mezzacapo, Marco Pistoia, Sarah Sheldon, Stefan Woerner, Jay Gambetta, and Ivano Tavernelli, “Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor,”
Original
1910
Earlier work this paper cites.
Ho Lun Tang, V. O. Shkolnikov, George S. Barron, Harper R. Grimsley, Nicholas J. Mayhall, Edwin Barnes, and Sophia E. Economou, “qubit-adapt-vqe: An adaptive algorithm for constructing hardware-efficient ansatze on a quantum processor,”
Original
1911
Earlier work this paper cites.
J. Hubbard and Brian Hilton Flowers, “Electron correlations in narrow energy bands,”
1963
Earlier work this paper cites.
Michael R. Geller and Mingyu Sun, “Efficient correction of multiqubit measurement errors,”
Original
2001
Earlier work this paper cites.
Sergey B. Bravyi and Alexei Yu. Kitaev, “Fermionic quantum computation,”
2002
Earlier work this paper cites.
Kathleen E. Hamilton, Tyler Kharazi, Titus Morris, Alexander J. McCaskey, Ryan S. Bennink, and Raphael C. Pooser, “Scalable quantum processor noise characterization,”
Original
2006
Earlier work this paper cites.
Sergey Bravyi, Sarah Sheldon, Abhinav Kandala, David C. Mckay, and Jay M. Gambetta, “Mitigating measurement errors in multi-qubit experiments,”
Original
2006
Earlier work this paper cites.
Petar Jurcevic, Ali Javadi-Abhari, Lev S. Bishop, Isaac Lauer, Daniela F. Bogorin, Markus Brink, Lauren Capelluto, Oktay Günlük, Toshinaro Itoko, Naoki Kanazawa, Abhinav Kandala, George A. Keefe, Kevin Kruslich, William Landers, Eric P. Lewandowski, Douglas T. McClure, Giacomo Nannicini, Adinath Narasgond, Hasan M. Nayfeh, Emily Pritchett, Mary Beth Rothwell, Srikanth Srinivasan, Neereja Sundaresan, Cindy Wang, Ken X. Wei, Christopher J. Wood, Jeng-Bang Yau, Eric J. Zhang, Oliver E. Dial, Jerry M. Chow, and Jay M. Gambetta, “Demonstration of quantum volume 64 on a superconducting quantum computing system,”
Original
2008
Earlier work this paper cites.
R. C. Bialczak, M. Ansmann, M. Hofheinz, E. Lucero, M. Neeley, A. D. O’Connell, D. Sank, H. Wang, J. Wenner, M. Steffen, and et al., “Quantum process tomography of a universal entangling gate implemented with josephson phase qubits,”
Original
2010
Earlier work this paper cites.
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann, “A quantum approximate optimization algorithm,”
Original
2014
Earlier work this paper cites.
A. Peruzzo, J.McClean, P. Shadbolt, M.-H.Yung, X.-Q. Zhou, P.J. Love, A. Aspuru-Guzik, and J. L. O’Brien, “A variational eigenvalue solver on a photonic quantum processor,”
2014
Earlier work this paper cites.
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, “Scalable quantum simulation of molecular energies,”
2016
Earlier work this paper cites.
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik, “The theory of variational hybrid quantum-classical algorithms,”
2016
Earlier work this paper cites.

Similar

Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M Chow, and Jay M Gambetta, “Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,”
2017
Cited alongside, same era.
J. S. Otterbach, R. Manenti, N. Alidoust, A. Bestwick, M. Block, B. Bloom, S. Caldwell, N. Didier, E. Schuyler Fried, S. Hong, P. Karalekas, C. B. Osborn, A. Papageorge, E. C. Peterson, G. Prawiroatmodjo, N. Rubin, Colm A. Ryan, D. Scarabelli, M. Scheer, E. A. Sete, P. Sivarajah, Robert S. Smith, A. Staley, N. Tezak, W. J. Zeng, A. Hudson, Blake R. Johnson, M. Reagor, M. P. da Silva, and C. Rigetti, “Unsupervised Machine Learning on a Hybrid Quantum Computer,”
Original
2017
Cited alongside, same era.
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta, “Error mitigation for short-depth quantum circuits,”
2017
Cited alongside, same era.
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. de Jong, and I. Siddiqi, “Computation of molecular spectra on a quantum processor with an error-resilient algorithm,”
2018

Then

D. Zhu, N. M. Linke, M. Benedetti, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A. Perdomo-Ortiz, N. Korda, A. Garfoot, C. Brecque, L. Egan, O. Perdomo, and C. Monroe, “Training of quantum circuits on a hybrid quantum computer,”
2019
Later among the works it cites.
Yanzhu Chen, Maziar Farahzad, Shinjae Yoo, and Tzu-Chieh Wei, “Detector tomography on ibm quantum computers and mitigation of an imperfect measurement,”
2019
Later among the works it cites.
Abhinav Kandala, Kristan Temme, Antonio D Córcoles, Antonio Mezzacapo, Jerry M Chow, and Jay M Gambetta, “Error mitigation extends the computational reach of a noisy quantum processor,”
2019
Later among the works it cites.
https://github.com/qiskit/qiskit, “Qiskit: An open-source framework for quantum computing,”
2019
Later among the works it cites.
Maria Schuld, Ville Bergholm, Christian Gogolin, Josh Izaac, and Nathan Killoran, “Evaluating analytic gradients on quantum hardware,”

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

Ryan Babbush, Nathan Wiebe, Jarrod McClean, James McClain, Hartmut Neven, and Garnet Kin-Lic Chan, “Low-depth quantum simulation of materials,”

2018

Cited alongside, same era.

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, “Quantum algorithms for electronic structure calculations: Particle-hole hamiltonian and optimized wave-function expansions,”

2018

Cited alongside, same era.

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, “Cloud quantum computing of an atomic nucleus,”

2018

Cited alongside, same era.

N. Klco, E. F. Dumitrescu, A. J. McCaskey, T. D. Morris, R. C. Pooser, M. Sanz, E. Solano, P. Lougovski, and M. J. Savage, “Quantum-classical computation of schwinger model dynamics using quantum computers,”

2018

Cited alongside, same era.

Andrew W. Cross, Lev S. Bishop, Sarah Sheldon, Paul D. Nation, and Jay M. Gambetta, “Validating quantum computers using randomized model circuits,”

2019

Cited alongside, same era.

G Pagano, A Bapat, P Becker, KS Collins, A De, PW Hess, HB Kaplan, A Kyprianidis, WL Tan, C Baldwin, et al. , “Quantum approximate optimization with a trapped-ion quantum simulator,”

Original

2019

Cited alongside, same era.

Jonathan Romero and Alan Aspuru-Guzik, “Variational quantum generators: Generative adversarial quantum machine learning for continuous distributions,”

Original

2019

Cited alongside, same era.

Stuart Hadfield, Zhihui Wang, Bryan O’Gorman, Eleanor Rieffel, Davide Venturelli, and Rupak Biswas, “From the quantum approximate optimization algorithm to a quantum alternating operator ansatz,”

2019

Cited alongside, same era.

2019

Later among the works it cites.

J. M. Pino, J. M. Dreiling, C. Figgatt, J. P. Gaebler, S. A. Moses, C. H. Baldwin, M. Foss-Feig, D. Hayes, K. Mayer, C. Ryan-Anderson, and et al., “Demonstration of the qccd trapped-ion quantum computer architecture,”

Original

2020

Closest in time.

Peter J Karalekas, Nikolas A Tezak, Eric C Peterson, Colm A Ryan, Marcus P da Silva, and Robert S Smith, “A quantum-classical cloud platform optimized for variational hybrid algorithms,”

2020

Closest in time.

Frank Arute, Kunal Arya, Ryan Babbush, Dave Bacon, Joseph C. Bardin, Rami Barends, Sergio Boixo, Michael Broughton, Bob B. Buckley, David A. Buell, Brian Burkett, Nicholas Bushnell, Yu Chen, Zijun Chen, Benjamin Chiaro, Roberto Collins, William Courtney, Sean Demura, Andrew Dunsworth, Daniel Eppens, Edward Farhi, Austin Fowler, Brooks Foxen, Craig Gidney, Marissa Giustina, Rob Graff, Steve Habegger, Matthew P. Harrigan, Alan Ho, Sabrina Hong, Trent Huang, William J. Huggins, Lev Ioffe, Sergei V. Isakov, Evan Jeffrey, Zhang Jiang, Cody Jones, Dvir Kafri, Kostyantyn Kechedzhi, Julian Kelly, Seon Kim, Paul V. Klimov, Alexander Korotkov, Fedor Kostritsa, David Landhuis, Pavel Laptev, Mike Lindmark, Erik Lucero, Orion Martin, John M. Martinis, Jarrod R. McClean, Matt McEwen, Anthony Megrant, Xiao Mi, Masoud Mohseni, Wojciech Mruczkiewicz, Josh Mutus, Ofer Naaman, Matthew Neeley, Charles Neill, Hartmut Neven, Murphy Yuezhen Niu, Thomas E. O’Brien, Eric Ostby, Andre Petukhov, Harald Putterman, Chris Quintana, Pedram Roushan, Nicholas C. Rubin, Daniel Sank, Kevin J. Satzinger, Vadim Smelyanskiy, Doug Strain, Kevin J. Sung, Marco Szalay, Tyler Y. Takeshita, Amit Vainsencher, Theodore White, Nathan Wiebe, Z. Jamie Yao, Ping Yeh, and Adam Zalcman, “Hartree-Fock on a superconducting qubit quantum computer,”

Original

2020

Closest in time.

Vladyslav Verteletskyi, Tzu-Ching Yen, and Artur F. Izmaylov, “Measurement optimization in the variational quantum eigensolver using a minimum clique cover,”

2020

Closest in time.

Andrew Zhao, Andrew Tranter, William M. Kirby, Shu Fay Ung, Akimasa Miyake, and Peter J. Love, “Measurement reduction in variational quantum algorithms,”

2020

Closest in time.

Kathleen E. Hamilton and Raphael C. Pooser, “Error-mitigated data-driven circuit learning on noisy quantum hardware,”

2020

Closest in time.

Michael R Geller, “Rigorous measurement error correction,”

2020

Closest in time.

Kunal Sharma, Sumeet Khatri, M Cerezo, and Patrick J Coles, “Noise resilience of variational quantum compiling,”

2020

Closest in time.