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Quantum algorithms have been developed for efficiently solving linear algebra tasks.
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arXiv preprint arXiv:1802.06002
E. Farhi, H. Neven, Classification with quantum neural networks on near term processors · 2018
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New Journal of Physics
L. Cincio, Y. Subaşı, A. T. Sornborger, P. J. Coles, Learning the quantum algorithm for state overlap · 2018
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arXiv preprint arXiv:1811.03147
T. Jones, S. C. Benjamin, Quantum compilation and circuit optimisation via energy dissipation · 2018
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Physical Review X
S. Endo, S. C. Benjamin, Y. Li, Practical quantum error mitigation for near-future applications · 2018
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Phys. Rev. X
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. de Jong, I. Siddiqi, Computation of molecular spectra on a quantum processor with an error-resilient algorithm · 2018
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Physical Review A
X. Bonet-Monroig, R. Sagastizabal, M. Singh, T. O’Brien, Low-cost error mitigation by symmetry verification · 2018
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Nature communications
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, H. Neven, Barren plateaus in quantum neural network training landscapes · 2018
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arXiv preprint arXiv:1909.07344
H.-Y. Huang, K. Bharti, P. Rebentrost, Near-term quantum algorithms for linear systems of equations · 2019
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arXiv preprint arXiv:1909.05500
D. An, L. Lin, Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm · 2019
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arXiv preprint arXiv:2007.00958
X. Yuan, J. Sun, J. Liu, Q. Zhao, Y. Zhou, Quantum simulation with hybrid tensor networks · 2020
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Physical Review Letters
S. Endo, J. Sun, Y. Li, S. C. Benjamin, X. Yuan, Variational quantum simulation of general processes · 2020
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Physical Review Letters
M.-C. Chen, M. Gong, X.-S. Xu, X. Yuan, J.-W. Wang, C. Wang, C. Ying, J. Lin, Y. Xu, Y. Wu, et al · 2020
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New Journal of Physics
K. Sharma, S. Khatri, M. Cerezo, P. J. Coles, Noise resilience of variational quantum compiling · 2020
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Physical Review A
M. Lubasch, J. Joo, P. Moinier, M. Kiffner, D. Jaksch, Variational Quantum Algorithms for Nonlinear Problems · 2020
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arXiv preprint arXiv:2004.01372
M. Cerezo, K. Sharma, A. Arrasmith, P. J. Coles, Variational quantum state eigensolver · 2020
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arXiv preprint arXiv:2011.05283
Z.-J. Zhang, J. Sun, X. Yuan, M.-H. Yung, Low-depth hamiltonian simulation by adaptive product formula · 2020
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C. Bravo-Prieto, R. LaRose, M. Cerezo, Y. Subasi, L. Cincio, P. J. Coles, Variational quantum linear solver (2020)
2020
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Reviews of Modern Physics
S. McArdle, S. Endo, A. Aspuru-Guzik, S. Benjamin, X. Yuan, Quantum computational chemistry · 2020
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Physical Review A
C. Bravo-Prieto, D. García-Martín, J. I. Latorre, Quantum singular value decomposer · 2020
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arXiv preprint arXiv:2006.02336
X. Wang, Z. Song, Y. Wang, Variational quantum singular value decomposition · 2020
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arXiv preprint arXiv:2106.05938
J. Sun, S. Endo, H. Lin, P. Hayden, V. Vedral, X. Yuan, Perturbative quantum simulation · 2021
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Physical Review A
J. Biamonte, Universal variational quantum computation · 2021
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Phys. Rev. Applied
J. Sun, X. Yuan, T. Tsunoda, V. Vedral, S. C. Benjamin, S. Endo, Mitigating realistic noise in practical noisy intermediate-scale quantum devices · 2021
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B. Wu, J. Sun, Q. Huang, X. Yuan, Overlapped grouping measurement: A unified framework for measuring quantum states (2021)
2021
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