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Variational quantum algorithms have been widely demonstrated in both experimental and theoretical contexts to have extensive applications in quantum simulation, optimization, and machine learning.
Area laws in a many-body localized state and its implications for topological order
Bauer, B. & Nayak, C · 2013
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Localization-protected quantum order
Huse, D. A., Nandkishore, R., Oganesyan, V., Pal, A. & Sondhi, S. L · 2013
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A variational eigenvalue solver on a photonic quantum processor
Peruzzo, A. et al · 2014
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Application of quantum calculations in the chemical industry-an overview
Deglmann, P., Schäfer, A. & Lennartz, C · 2014
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Exponential orthogonality catastrophe in single-particle and many-body localized systems
Deng, D.-L., Pixley, J., Li, X. & Das Sarma, S · 2015
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Many-body localization in periodically driven systems
Ponte, P., Papi’c, Z., Huveneers, F. & Abanin, D. A · 2015
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The theory of variational hybrid quantum-classical algorithms
McClean, J. R., Romero, J., Babbush, R. & Aspuru-Guzik, A · 2016
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A floquet model for the many-body localization transition
Zhang, L., Khemani, V. & Huse, D. A · 2016
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Quantum simulation of a fermi–hubbard model using a semiconductor quantum dot array
Hensgens, T. et al · 2017
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Free energy methods in drug design: Prospects of “alchemical perturbation” in medicinal chemistry
Williams-Noonan, B. J., Yuriev, E. & Chalmers, D. K · 2017
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala, A. et al · 2017
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Out-of-time-order correlation for many-body localization
Fan, R., Zhang, P., Shen, H. & Zhai, H · 2017
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Logarithmic entanglement lightcone in many-body localized systems
Deng, D.-L., Li, X., Pixley, J., Wu, Y.-L. & Das Sarma, S · 2017
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Quantum computing in the nisq era and beyond
Preskill, J · 2018
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Quantum simulation of the hubbard model with ultracold fermions in optical lattices
Tarruell, L. & Sanchez-Palencia, L · 2018
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Quantum optimization using variational algorithms on near-term quantum devices
Moll, N. et al · 2018
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Barren plateaus in quantum neural network training landscapes
McClean, J. R., Boixo, S., Smelyanskiy, V. N., Babbush, R. & Neven, H · 2018
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Observation of discrete-time-crystal signatures in an ordered dipolar many-body system
Rovny, J., Blum, R. L. & Barrett, S. E · 2018
Cited alongside, same era.
Temporal order in periodically driven spins in star-shaped clusters
Pal, S., Nishad, N., Mahesh, T. S. & Sreejith, G. J · 2018
Cited alongside, same era.
Recent developments and applications in quantum neural network: A review
Jeswal, S. & Chakraverty, S · 2019
Cited alongside, same era.
An initialization strategy for addressing barren plateaus in parametrized quantum circuits
Grant, E., Wossnig, L., Ostaszewski, M. & Benedetti, M · 2019
Cited alongside, same era.
Colloquium: Many-body localization, thermalization, and entanglement
Abanin, D. A., Altman, E., Bloch, I. & Serbyn, M · 2019
Cited alongside, same era.
A brief history of time crystals
Khemani, V., Moessner, R. & Sondhi, S. L · 2019
Noisy intermediate-scale quantum algorithms
Bharti, K. et al · 2022
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The Variational Quantum Eigensolver: A Review of Methods and Best Practices
Tilly, J. et al · 2022
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Connecting ansatz expressibility to gradient magnitudes and barren plateaus
Holmes, Z., Sharma, K., Cerezo, M. & Coles, P. J · 2022
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Avoiding barren plateaus using classical shadows
Sack, S. H., Medina, R. A., Michailidis, A. A., Kueng, R. & Serbyn, M · 2022
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Floquet prethermal phase protected by u(1) symmetry on a superconducting quantum processor
Ying, C. et al · 2022
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Time-crystalline eigenstate order on a quantum processor
Mi, X. et al · 2022
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Cited alongside, same era.
Random matrix ensemble for the level statistics of many-body localization
Buijsman, W., Cheianov, V. & Gritsev, V · 2019
Cited alongside, same era.
Rechargeable alkali-ion battery materials: Theory and computation
Van der Ven, A., Deng, Z., Banerjee, S. & Ong, S. P · 2020
Cited alongside, same era.
Quantum Mechanics in Drug Discovery (Springer US, 2020)
Heifetz, A · 2020
Cited alongside, same era.
Quantum computational chemistry
McArdle, S., Endo, S., Aspuru-Guzik, A., Benjamin, S. C. & Yuan, X · 2020
Cited alongside, same era.
Exploring entanglement and optimization within the hamiltonian variational ansatz
Wiersema, R. et al · 2020
Cited alongside, same era.
Yao.jl: Extensible, efficient framework for quantum algorithm design
Luo, X.-Z., Liu, J.-G., Zhang, P. & Wang, L · 2020
Cited alongside, same era.
Avalanches and many-body resonances in many-body localized systems
Morningstar, A., Colmenarez, L., Khemani, V., Luitz, D. J. & Huse, D. A · 2022
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Entanglement diagnostics for efficient vqa optimization
Kim, J. & Oz, Y · 2022
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Quantum energy landscape and circuit optimization
Kim, J. & Oz, Y · 2022
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Mitigating barren plateaus of variational quantum eigensolvers (2022)
Liu, X., Liu, G., Huang, J., Zhang, H.-K. & Wang, X · 2022
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Diagnosing barren plateaus with tools from quantum optimal control
Larocca, M. et al · 2022
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Discrete time crystal enabled by stark many-body localization
Liu, S., Zhang, S.-X., Hsieh, C.-Y., Zhang, S. & Yao, H · 2023
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Long-lived topological time-crystalline order on a quantum processor (2024)
Xiang, L. et al · 2024
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The adjoint is all you need: Characterizing barren plateaus in quantum ansatze (2024)
Fontana, E. et al · 2024
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Hardware-efficient ansatz without barren plateaus in any depth (2024)
Park, C.-Y., Kang, M. & Huh, J · 2024
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Exploiting many-body localization for scalable variational quantum simulation (2024)
Cao, C., Zhou, Y., Tannu, S., Shannon, N. & Joynt, R · 2024
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