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Quantum machine learning (QML) has become a promising area for real world applications of quantum computers, but near-term methods and their scalability are still important research topics.
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“Efficient Computation of Zero-dimensional Gröbner Bases by Change of Ordering”
J. C. Faugère, P. Gianni, D. Lazard, and T. Mora · 1993
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“Quantum computers that can be simulated classically in polynomial time”
Leslie G. Valiant · 2001
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S. G. Schirmer, H. Fu, and A. I. Solomon · 2001
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Richard Jozsa and Akimasa Miyake · 2008
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Paolo Facchi, Ravi Kulkarni, V. I. Man’ko, Giuseppe Marmo, E. C. G. Sudarshan, and Franco Ventriglia · 2010
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Jean-Charles Faugère, Mohab Safey El Din, and Pierre-Jean Spaenlehauer · 2011
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Daniel Jerison · 2013
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Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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“Progress towards practical quantum variational algorithms”
Dave Wecker, Matthew B. Hastings, and Matthias Troyer · 2015
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“Group equivariant convolutional networks”
Taco Cohen and Max Welling · 2016
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“Geometric formulation of quantum mechanics” (2016)
Hoshang Heydari · 2016
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Z. Puchała and J.A. Miszczak · 2017
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Jarrod R. McClean, Sergio Boixo, Vadim N. Smelyanskiy, Ryan Babbush, and Hartmut Neven · 2018
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“A convergence theory for over-parameterized variational quantum eigensolvers” (2022)
Xuchen You, Shouvanik Chakrabarti, and Xiaodi Wu · 2022
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“Quantum variational algorithms are swamped with traps”
Eric R. Anschuetz and Bobak T. Kiani · 2022
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“Quantum machine learning with subspace states” (2022)
Iordanis Kerenidis and Anupam Prakash · 2022
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“Connecting ansatz expressibility to gradient magnitudes and barren plateaus”
Zoë Holmes, Kunal Sharma, M. Cerezo, and Patrick J. Coles · 2022
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“Exploiting symmetry in variational quantum machine learning”
Johannes Jakob Meyer, Marian Mularski, Elies Gil-Fuster, Antonio Anna Mele, Francesco Arzani, Alissa Wilms, and Jens Eisert · 2023
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“Variational quantum algorithms”
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Iordanis Kerenidis and Jonas Landman · 2021
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Sonika Johri, Shantanu Debnath, Avinash Mocherla, Alexandros Singk, Anupam Prakash, Jungsang Kim, and Iordanis Kerenidis · 2021
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Maria Schuld, Ryan Sweke, and Johannes Jakob Meyer · 2021
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“Cost function dependent barren plateaus in shallow parametrized quantum circuits”
M. Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, and Patrick J. Coles · 2021
Cited alongside, same era.
“Capacity and quantum geometry of parametrized quantum circuits”
Tobias Haug, Kishor Bharti, and M.S. Kim · 2021
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Jonas Landman, Natansh Mathur, Yun Yvonna Li, Martin Strahm, Skander Kazdaghli, Anupam Prakash, and Iordanis Kerenidis · 2022
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