Built on

Lewis Fry Richardson and J. Arthur Gaunt, “VIII. the deferred approach to the limit,” Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character 226
1927
Earlier work this paper cites.
G. Szegő, Szego G, and G. Szego, Orthogonal Polynomials , American Math. Soc: Colloquium publ (American Mathematical Society, 1975)
1975
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, “Finitely correlated states on quantum spin chains,” Communications in Mathematical Physics 144
1992
Earlier work this paper cites.
M Cerezo, Kunal Sharma, Andrew Arrasmith, and Patrick J Coles, “Variational quantum state eigensolver,” arXiv preprint arXiv:2004.01372 (2020b)
Original
2004
Earlier work this paper cites.
G. Vidal, “Class of quantum many-body states that can be efficiently simulated,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
J. M. Chow, L. DiCarlo, J. M. Gambetta, A. Nunnenkamp, Lev S. Bishop, L. Frunzio, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, “Detecting highly entangled states with a joint qubit readout,” Phys. Rev. A 81
2010
Earlier work this paper cites.
Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
2011
Earlier work this paper cites.
M Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C Benjamin, Suguru Endo, Keisuke Fujii, Jarrod R McClean, Kosuke Mitarai, Xiao Yuan, Lukasz Cincio, and Patrick J Coles, “Variational quantum algorithms,” arXiv preprint arXiv:2012.09265 (2020a)
Original
2012
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,” Nature Communications 5
2014
Earlier work this paper cites.
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik, “The theory of variational hybrid quantum-classical algorithms,” New Journal of Physics 18
2016
Earlier work this paper cites.
Ian Goodfellow, Yoshua Bengio, and Aaron Courville, Deep Learning (MIT Press, 2016) http://www.deeplearningbook.org
2016
Earlier work this paper cites.
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta, “Error mitigation for short-depth quantum circuits,” Phys. Rev. Lett. 119
2017
Earlier work this paper cites.
Y. Li and S. C. Benjamin, “Efficient variational quantum simulator incorporating active error minimization,” Phys. Rev. X 7
2017
Earlier work this paper cites.

Similar

John Preskill, “Quantum computing in the nisq era and beyond,” Quantum 2
2018
Cited alongside, same era.
Suguru Endo, Simon C Benjamin, and Ying Li, “Practical quantum error mitigation for near-future applications,” Physical Review X 8
2018
Cited alongside, same era.
Lukasz Cincio, Yiğit Subaşı, Andrew T Sornborger, and Patrick J Coles, “Learning the quantum algorithm for state overlap,” New Journal of Physics 20
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,” Phys. Rev. Lett. 120
2018
Cited alongside, same era.
Abhijith J., Adetokunbo Adedoyin, John Ambrosiano, Petr Anisimov, Andreas Bärtschi, William Casper, Gopinath Chennupati, Carleton Coffrin, Hristo Djidjev, David Gunter, Satish Karra, Nathan Lemons, Shizeng Lin, Alexander Malyzhenkov, David Mascarenas, Susan Mniszewski, Balu Nadiga, Daniel O’Malley, Diane Oyen, Scott Pakin, Lakshman Prasad, Randy Roberts, Phillip Romero, Nandakishore Santhi, Nikolai Sinitsyn, Pieter J. Swart, James G. Wendelberger, Boram Yoon, Richard Zamora, Wei Zhu, Stephan Eidenbenz, Patrick J. Coles, Marc Vuffray, and Andrey Y. Lokhov, “Quantum algorithm implementations for beginners,” (2018), arXiv:1804.03719 [cs.ET]

Then

Samson Wang, Enrico Fontana, Marco Cerezo, Kunal Sharma, Akira Sone, Lukasz Cincio, and Patrick J Coles, “Noise-induced barren plateaus in variational quantum algorithms,” arXiv preprint arXiv:2007.14384 (2020)
Original
2020
Closest in time.
Kunal Sharma, Sumeet Khatri, Marco Cerezo, and Patrick J Coles, “Noise resilience of variational quantum compiling,” New Journal of Physics 22
2020
Closest in time.
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue, Lukasz Cincio, Patrick J Coles, and Andrew Sornborger, “Variational fast forwarding for quantum simulation beyond the coherence time,” npj Quantum Information 6
2020
Closest in time.
Thomas E O’Brien, Stefano Polla, Nicholas C Rubin, William J Huggins, Sam McArdle, Sergio Boixo, Jarrod R McClean, and Ryan Babbush, “Error mitigation via verified phase estimation,” arXiv preprint arXiv:2010.02538 (2020)
Original
2020
Closest in time.

Beyond the bibliography

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

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Reading the bibliography…

2020

Unified approach to data-driven quantum error mitigation

Lowe, Angus, Gordon, Max Hunter, Czarnik, Piotr et al.

Understand

Achieving near-term quantum advantage will require effective methods for mitigating hardware noise.

Data-driven approaches to error mitigation are promising, with popular examples including zero-noise extrapolation (ZNE) and Clifford data regression (CDR).
Here we propose a novel, scalable error mitigation method that conceptually unifies ZNE and CDR.
Our approach, called variable-noise Clifford data regression (vnCDR), significantly outperforms these individual methods in numerical benchmarks.

Built on

Lewis Fry Richardson and J. Arthur Gaunt, “VIII. the deferred approach to the limit,” Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character 226
1927
Earlier work this paper cites.
G. Szegő, Szego G, and G. Szego, Orthogonal Polynomials , American Math. Soc: Colloquium publ (American Mathematical Society, 1975)
1975
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, “Finitely correlated states on quantum spin chains,” Communications in Mathematical Physics 144
1992
Earlier work this paper cites.
M Cerezo, Kunal Sharma, Andrew Arrasmith, and Patrick J Coles, “Variational quantum state eigensolver,” arXiv preprint arXiv:2004.01372 (2020b)
Original
2004
Earlier work this paper cites.
G. Vidal, “Class of quantum many-body states that can be efficiently simulated,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
J. M. Chow, L. DiCarlo, J. M. Gambetta, A. Nunnenkamp, Lev S. Bishop, L. Frunzio, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, “Detecting highly entangled states with a joint qubit readout,” Phys. Rev. A 81
2010
Earlier work this paper cites.
Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
2011
Earlier work this paper cites.
M Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C Benjamin, Suguru Endo, Keisuke Fujii, Jarrod R McClean, Kosuke Mitarai, Xiao Yuan, Lukasz Cincio, and Patrick J Coles, “Variational quantum algorithms,” arXiv preprint arXiv:2012.09265 (2020a)
Original
2012
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,” Nature Communications 5
2014
Earlier work this paper cites.
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik, “The theory of variational hybrid quantum-classical algorithms,” New Journal of Physics 18
2016
Earlier work this paper cites.
Ian Goodfellow, Yoshua Bengio, and Aaron Courville, Deep Learning (MIT Press, 2016) http://www.deeplearningbook.org
2016
Earlier work this paper cites.
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta, “Error mitigation for short-depth quantum circuits,” Phys. Rev. Lett. 119
2017
Earlier work this paper cites.
Y. Li and S. C. Benjamin, “Efficient variational quantum simulator incorporating active error minimization,” Phys. Rev. X 7
2017
Earlier work this paper cites.

Similar

John Preskill, “Quantum computing in the nisq era and beyond,” Quantum 2
2018
Cited alongside, same era.
Suguru Endo, Simon C Benjamin, and Ying Li, “Practical quantum error mitigation for near-future applications,” Physical Review X 8
2018
Cited alongside, same era.
Lukasz Cincio, Yiğit Subaşı, Andrew T Sornborger, and Patrick J Coles, “Learning the quantum algorithm for state overlap,” New Journal of Physics 20
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,” Phys. Rev. Lett. 120
2018
Cited alongside, same era.
Abhijith J., Adetokunbo Adedoyin, John Ambrosiano, Petr Anisimov, Andreas Bärtschi, William Casper, Gopinath Chennupati, Carleton Coffrin, Hristo Djidjev, David Gunter, Satish Karra, Nathan Lemons, Shizeng Lin, Alexander Malyzhenkov, David Mascarenas, Susan Mniszewski, Balu Nadiga, Daniel O’Malley, Diane Oyen, Scott Pakin, Lakshman Prasad, Randy Roberts, Phillip Romero, Nandakishore Santhi, Nikolai Sinitsyn, Pieter J. Swart, James G. Wendelberger, Boram Yoon, Richard Zamora, Wei Zhu, Stephan Eidenbenz, Patrick J. Coles, Marc Vuffray, and Andrey Y. Lokhov, “Quantum algorithm implementations for beginners,” (2018), arXiv:1804.03719 [cs.ET]

Then

Samson Wang, Enrico Fontana, Marco Cerezo, Kunal Sharma, Akira Sone, Lukasz Cincio, and Patrick J Coles, “Noise-induced barren plateaus in variational quantum algorithms,” arXiv preprint arXiv:2007.14384 (2020)
Original
2020
Closest in time.
Kunal Sharma, Sumeet Khatri, Marco Cerezo, and Patrick J Coles, “Noise resilience of variational quantum compiling,” New Journal of Physics 22
2020
Closest in time.
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue, Lukasz Cincio, Patrick J Coles, and Andrew Sornborger, “Variational fast forwarding for quantum simulation beyond the coherence time,” npj Quantum Information 6
2020
Closest in time.
Thomas E O’Brien, Stefano Polla, Nicholas C Rubin, William J Huggins, Sam McArdle, Sergio Boixo, Jarrod R McClean, and Ryan Babbush, “Error mitigation via verified phase estimation,” arXiv preprint arXiv:2010.02538 (2020)
Original
2020
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2018

Cited alongside, same era.

Prakash Murali, Jonathan M. Baker, Ali Javadi-Abhari, Frederic T. Chong, and Margaret Martonosi, “Noise-adaptive compiler mappings for noisy intermediate-scale quantum computers,” ASPLOS ’19, 1015–1029 (2019)

2019

Cited alongside, same era.

S. Khatri, R. LaRose, A. Poremba, L. Cincio, A. T. Sornborger, and P. J. Coles, “Quantum-assisted quantum compiling,” Quantum 3

2019

Cited alongside, same era.

Ryan LaRose, Arkin Tikku, Étude O’Neel-Judy, Lukasz Cincio, and Patrick J Coles, “Variational quantum state diagonalization,” npj Quantum Information 5

2019

Cited alongside, same era.

Matthew Otten and Stephen K Gray, “Recovering noise-free quantum observables,” Physical Review A 99

2019

Cited alongside, same era.

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,” Nature 567

2019

Cited alongside, same era.

Stuart Hadfield, Zhihui Wang, Bryan O’Gorman, Eleanor G Rieffel, Davide Venturelli, and Rupak Biswas, “From the quantum approximate optimization algorithm to a quantum alternating operator ansatz,” Algorithms 12

2019

Cited alongside, same era.

Román Orús, “Tensor networks for complex quantum systems,” Nature Reviews Physics 1

2019

Cited alongside, same era.

Andre He, Benjamin Nachman, Wibe A. de Jong, and Christian W. Bauer, “Zero-noise extrapolation for quantum-gate error mitigation with identity insertions,” Phys. Rev. A 102

2020

Closest in time.

Tudor Giurgica-Tiron, Yousef Hindy, Ryan LaRose, Andrea Mari, and William J Zeng, “Digital zero noise extrapolation for quantum error mitigation,” arXiv preprint arXiv:2005.10921 (2020)

Original

2020

Closest in time.

Zhenyu Cai, “Multi-exponential error extrapolation and combining error mitigation techniques for nisq applications,” arXiv preprint arXiv:2007.01265 (2020)

Original

2020

Closest in time.

Armands Strikis, Dayue Qin, Yanzhu Chen, Simon C Benjamin, and Ying Li, “Learning-based quantum error mitigation,” arXiv preprint arXiv:2005.07601 (2020)

Original

2020

Closest in time.

Piotr Czarnik, Andrew Arrasmith, Patrick J Coles, and Lukasz Cincio, “Error mitigation with clifford quantum-circuit data,” arXiv preprint arXiv:2005.10189 (2020)

Original

2020

Closest in time.

Lukasz Cincio, Kenneth Rudinger, Mohan Sarovar, and Patrick J. Coles, “Machine learning of noise-resilient quantum circuits,” PRX Quantum 2

2021

Closest in time.

Joseph Vovrosh, Kiran E. Khosla, Sean Greenaway, Christopher Self, Myungshik Kim, and Johannes Knolle, “Efficient mitigation of depolarizing errors in quantum simulations,” arXiv preprint arXiv:2101.01690 (2021)

Original

2021

Closest in time.

Miroslav Urbanek, Benjamin Nachman, Vincent R. Pascuzzi, Andre He, Christian W. Bauer, and Wibe A. de Jong, “Mitigating depolarizing noise on quantum computers with noise-estimation circuits,” arXiv preprint arXiv:2103.08591 (2021)

Original

2021

Closest in time.

Sergey Bravyi, Sarah Sheldon, Abhinav Kandala, David C. Mckay, and Jay M. Gambetta, “Mitigating measurement errors in multiqubit experiments,” Phys. Rev. A 103

2021

Closest in time.