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Hybrid quantum-classical adaptive Variational Quantum Eigensolvers (VQE) hold the potential to outperform classical computing for simulating many-body quantum systems.
Gradients of parameterized quantum gates using the parameter-shift rule and gate decomposition (2019)
Crooks, G. E · 1905
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The one-dimensional ising model with a transverse field
Pfeuty, P · 1970
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Thermodynamical properties of the transverse Ising model
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Quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
Abrams, D. S. & Lloyd, S · 1999
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Simulated quantum computation of molecular energies
Aspuru-Guzik, A., Dutoi, A. D., Love, P. J. & Head-Gordon, M · 2005
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A variational eigenvalue solver on a photonic quantum processor
Peruzzo, A. et al · 2014
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala, A. et al · 2017
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Simulating physics with computers
Feynman, R. P · 2018
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Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz
Romero, J. et al · 2018
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Qubit coupled cluster method: a systematic approach to quantum chemistry on a quantum computer
Ryabinkin, I. G., Yen, T.-C., Genin, S. N. & Izmaylov, A. F · 2018
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Generalized unitary coupled cluster wave functions for quantum computation
Lee, J., Huggins, W. J., Head-Gordon, M. & Whaley, K. B · 2018
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Quantum chemistry in the age of quantum computing
Cao, Y. et al · 2019
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Is the trotterized uccsd ansatz chemically well-defined?
Grimsley, H. R., Claudino, D., Economou, S. E., Barnes, E. & Mayhall, N. J · 2019
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An adaptive variational algorithm for exact molecular simulations on a quantum computer
Grimsley, H. R., Economou, S. E., Barnes, E. & Mayhall, N. J · 2019
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Quantum computational chemistry
McArdle, S., Endo, S., Aspuru-Guzik, A., Benjamin, S. C. & Yuan, X · 2020
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Orbital optimized unitary coupled cluster theory for quantum computer
Mizukami, W. et al · 2020
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Sequential minimal optimization for quantum-classical hybrid algorithms
Nakanishi, K. M., Fujii, K. & Todo, S · 2020
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Exploring entanglement and optimization within the hamiltonian variational ansatz
Wiersema, R. et al · 2020
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Efficient quantum circuits for quantum computational chemistry
Yordanov, Y. S., Arvidsson-Shukur, D. R. M. & Barnes, C. H. W · 2020
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Qubit-excitation-based adaptive variational quantum eigensolver
Yordanov, Y. S., Armaos, V., Barnes, C. H. & Arvidsson-Shukur, D. R · 2021
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Qubit-ADAPT-VQE: An adaptive algorithm for constructing hardware-efficient ansätze on a quantum processor
Tang, H. L. et al · 2021
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An efficient adaptive variational quantum solver of the schrödinger equation based on reduced density matrices
Liu, J., Li, Z. & Yang, J · 2021
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Structure optimization for parameterized quantum circuits
Ostaszewski, M., Grant, E. & Benedetti, M · 2021
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Optimizing parameterized quantum circuits with free-axis selection
Watanabe, H. C., Raymond, R., Ohnishi, Y.-Y., Kaminishi, E. & Sugawara, M · 2021
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Solving nuclear structure problems with the adaptive variational quantum algorithm
Romero, A., Engel, J., Tang, H. L. & Economou, S. E · 2022
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Wada, K., Raymond, R., Sato, Y. & Watanabe, H. C · 2022
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Quantum embedding method for the simulation of strongly correlated systems on quantum computers
Rossmannek, M., Pavosevic, F., Rubio, A. & Tavernelli, I · 2023
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Exact electronic states with shallow quantum circuits from global optimisation
Burton, H. G., Marti-Dafcik, D., Tew, D. P. & Wales, D. J · 2023
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Overlap-ADAPT-VQE: Practical quantum chemistry on quantum computers via overlap-guided compact ansätze
Feniou, C. et al · 2023
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Circuit-depth reduction of unitary-coupled-cluster ansatz by energy sorting (2021)
Fan, Y. et al · 2021
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Cloud based qc with amazon braket
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Adaptive variational quantum dynamics simulations
Yao, Y.-X. et al · 2021
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Adaptive variational quantum imaginary time evolution approach for ground state preparation
Gomes, N. et al · 2021
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The variational quantum eigensolver: a review of methods and best practices
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Phenomenological theory of variational quantum ground-state preparation (2022)
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Reducing molecular electronic hamiltonian simulation cost for linear combination of unitaries approaches
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Deterministic improvements of quantum measurements with grouping of compatible operators, non-local transformations, and covariance estimates
Yen, T.-C., Ganeshram, A. & Izmaylov, A. F · 2023
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How to really measure operator gradients in ADAPT-VQE (2023)
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Sorbonne Université and Qubit Pharmaceuticals (2023)
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Stochastic approximation of variational quantum imaginary time evolution
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Evidence for the utility of quantum computing before fault tolerance
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Adaptive, problem-tailored variational quantum eigensolver mitigates rough parameter landscapes and barren plateaus
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Training variational quantum algorithms with random gate activation
Liu, S., Zhang, S.-X., Jian, S.-K. & Yao, H · 2023
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Optimal parameter configurations for sequential optimization of the variational quantum eigensolver
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Quantifying the effect of gate errors on variational quantum eigensolvers for quantum chemistry
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Sparse quantum state preparation for strongly correlated systems
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Circuit-efficient qubit-excitation-based variational quantum eigensolver
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