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Extracting eigenvalues and eigenvectors of exponentially large matrices will be an important application of near-term quantum computers.
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Kosuke Mitarai, Makoto Negoro, Masahiro Kitagawa, and Keisuke Fujii, “Quantum circuit learning,”
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2018
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Ryan LaRose, Arkin Tikku, Étude O’Neel-Judy, Lukasz Cincio, and Patrick J Coles, “Variational quantum state diagonalization,”
2019
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Andrew Arrasmith, Lukasz Cincio, Andrew T Sornborger, Wojciech H Zurek, and Patrick J Coles, “Variational consistent histories as a hybrid algorithm for quantum foundations,”
2019
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2019
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Suguru Endo, Jinzhao Sun, Ying Li, Simon C Benjamin, and Xiao Yuan, “Variational quantum simulation of general processes,”
2020
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Kunal Sharma, Sumeet Khatri, Marco Cerezo, and Patrick Coles, “Noise resilience of variational quantum compiling,”
2020
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2020
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2020
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Xiao Yuan, Suguru Endo, Qi Zhao, Ying Li, and Simon C Benjamin, “Theory of variational quantum simulation,”
2019
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2019
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2019
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2019
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Sam McArdle, Tyson Jones, Suguru Endo, Ying Li, Simon C Benjamin, and Xiao Yuan, “Variational ansatz-based quantum simulation of imaginary time evolution,”
2019
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2019
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2019
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Carlos Bravo-Prieto, Diego García-Martín, and José I. Latorre, “Quantum singular value decomposer,”
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Sam McArdle, Suguru Endo, Alan Aspuru-Guzik, Simon C Benjamin, and Xiao Yuan, “Quantum computational chemistry,”
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Ken M Nakanishi, Keisuke Fujii, and Synge Todo, “Sequential minimal optimization for quantum-classical hybrid algorithms,”
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Jonas M Kübler, Andrew Arrasmith, Lukasz Cincio, and Patrick J Coles, “An adaptive optimizer for measurement-frugal variational algorithms,”
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Ryan Sweke, Frederik Wilde, Johannes Jakob Meyer, Maria Schuld, Paul K Fährmann, Barthélémy Meynard-Piganeau, and Jens Eisert, “Stochastic gradient descent for hybrid quantum-classical optimization,”
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Juan Miguel Arrazola, Alain Delgado, Bhaskar Roy Bardhan, and Seth Lloyd, “Quantum-inspired algorithms in practice,”
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Xiaosi Xu, Jinzhao Sun, Suguru Endo, Ying Li, Simon C Benjamin, and Xiao Yuan, “Variational algorithms for linear algebra,”
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M Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, and Patrick J Coles, “Cost function dependent barren plateaus in shallow parametrized quantum circuits,”
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Aram W Harrow and John C Napp, “Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms,”
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Bálint Koczor, “Exponential error suppression for near-term quantum devices,”
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William J Huggins, Sam McArdle, Thomas E O Brien, Joonho Lee, Nicholas C Rubin, Sergio Boixo, K Birgitta Whaley, Ryan Babbush, and Jarrod R McClean, “Virtual distillation for quantum error mitigation,”
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