Fetching the paper…
Reading the bibliography…
The wave function Ansatze are crucial in the context of the Variational Quantum Eigensolver (VQE).
Jordan, P.; Wigner, E. Über das Paulische Äquivalenzverbot
1928
Earlier work this paper cites.
Dirac, P. A. M. Quantum mechanics of many-electron systems
1929
Earlier work this paper cites.
Feynman, R. P.; others Simulating physics with computers
1982
Earlier work this paper cites.
Kitaev, A. Y. Quantum measurements and the Abelian stabilizer problem
1995
Earlier work this paper cites.
Abrams, D. S.; Lloyd, S. Quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
1999
Earlier work this paper cites.
Bravyi, S.; Kitaev, A. Fermionic quantum computation
2002
Earlier work this paper cites.
Aspuru-Guzik, A.; Dutoi, A. D.; Love, P. J.; Head-Gordon, M. Simulated Quantum Computation of Molecular Energies
2005
Earlier work this paper cites.
Seeley, J. T.; Richard, M. J.; Love, P. J. The Bravyi-Kitaev transformation for quantum computation of electronic structure
2012
Earlier work this paper cites.
Peruzzo, A.; McClean, J.; Shadbolt, P.; Yung, M.-H.; Zhou, X.-Q.; Love, P. J.; Aspuru-Guzik, A.; O’brien, J. L. A variational eigenvalue solver on a photonic quantum processor
2014
Earlier work this paper cites.
McClean, J. R.; Romero, J.; Babbush, R.; Aspuru-Guzik, A. The theory of variational hybrid quantum-classical algorithms
2016
Earlier work this paper cites.
O’Malley, P. J.; Babbush, R.; Kivlichan, I. D.; Romero, J.; McClean, J. R.; Barends, R.; Kelly, J.; Roushan, P.; Tranter, A.; Ding, N.; others Scalable quantum simulation of molecular energies
2016
Earlier work this paper cites.
Shen, Y.; Zhang, X.; Zhang, S.; Zhang, J.-N.; Yung, M.-H.; Kim, K. Quantum implementation of the unitary coupled cluster for simulating molecular electronic structure
2017
Earlier work this paper cites.
Kandala, A.; Mezzacapo, A.; Temme, K.; Takita, M.; Brink, M.; Chow, J. M.; Gambetta, J. M. Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
2017
Earlier work this paper cites.
McClean, J. R.; Kimchi-Schwartz, M. E.; Carter, J.; De Jong, W. A. Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states
2017
Earlier work this paper cites.
Preskill, J. Quantum computing in the NISQ era and beyond
2018
Earlier work this paper cites.
Hempel, C.; Maier, C.; Romero, J.; McClean, J.; Monz, T.; Shen, H.; Jurcevic, P.; Lanyon, B. P.; Love, P.; Babbush, R.; others Quantum chemistry calculations on a trapped-ion quantum simulator
2018
Earlier work this paper cites.
Colless, J. I.; Ramasesh, V. V.; Dahlen, D.; Blok, M. S.; Kimchi-Schwartz, M. E.; McClean, J. R.; Carter, J.; de Jong, W. A.; Siddiqi, I. Computation of molecular spectra on a quantum processor with an error-resilient algorithm
2018
Earlier work this paper cites.
Lee, J.; Huggins, W. J.; Head-Gordon, M.; Whaley, K. B. Generalized unitary coupled cluster wave functions for quantum computation
2018
Earlier work this paper cites.
Ryabinkin, I. G.; Yen, T.-C.; Genin, S. N.; Izmaylov, A. F. Qubit coupled cluster method: a systematic approach to quantum chemistry on a quantum computer
2018
Earlier work this paper cites.
Romero, J.; Babbush, R.; McClean, J. R.; Hempel, C.; Love, P. J.; Aspuru-Guzik, A. Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz
2018
Earlier work this paper cites.
Barkoutsos, P. K.; Gonthier, J. F.; Sokolov, I.; Moll, N.; Salis, G.; Fuhrer, A.; Ganzhorn, M.; Egger, D. J.; Troyer, M.; Mezzacapo, A.; others Quantum algorithms for electronic structure calculations: Particle-hole Hamiltonian and optimized wave-function expansions
2018
Cited alongside, same era.
Sun, Q.; Berkelbach, T. C.; Blunt, N. S.; Booth, G. H.; Guo, S.; Li, Z.; Liu, J.; McClain, J. D.; Sayfutyarova, E. R.; Sharma, S.; Wouters, S.; Chan, G. K.-L. PYSCF: the Python-based simulations of chemistry framework
2018
Cited alongside, same era.
Cao, Y.; Romero, J.; Olson, J. P.; Degroote, M.; Johnson, P. D.; Kieferová, M.; Kivlichan, I. D.; Menke, T.; Peropadre, B.; Sawaya, N. P.; others Quantum chemistry in the age of quantum computing
2019
Cited alongside, same era.
Wang, D.; Higgott, O.; Brierley, S. Accelerated variational quantum eigensolver
2019
Cited alongside, same era.
Cerezo, M.; Arrasmith, A.; Babbush, R.; Benjamin, S. C.; Endo, S.; Fujii, K.; McClean, J. R.; Mitarai, K.; Yuan, X.; Cincio, L.; others Variational quantum algorithms
2021
Later among the works it cites.
Liu, J.; Li, Z.; Yang, J. An efficient adaptive variational quantum solver of the Schrödinger equation based on reduced density matrices
2021
Later among the works it cites.
Tang, H. L.; Shkolnikov, V.; Barron, G. S.; Grimsley, H. R.; Mayhall, N. J.; Barnes, E.; Economou, S. E. Qubit-ADAPT-VQE: An Adaptive Algorithm for Constructing Hardware-Efficient Ansätze on a Quantum Processor
2021
Later among the works it cites.
Yordanov, Y. S.; Armaos, V.; Barnes, C. H.; Arvidsson-Shukur, D. R. Qubit-excitation-based adaptive variational quantum eigensolver
2021
Later among the works it cites.
Fan, Y.; Liu, J.; Li, Z.; Yang, J. Equation-of-motion theory to calculate accurate band structures with a quantum computer
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Grimsley, H. R.; Claudino, D.; Economou, S. E.; Barnes, E.; Mayhall, N. J. Is the trotterized uccsd ansatz chemically well-defined?
2019
Cited alongside, same era.
Grimsley, H. R.; Economou, S. E.; Barnes, E.; Mayhall, N. J. An adaptive variational algorithm for exact molecular simulations on a quantum computer
2019
Cited alongside, same era.
Nakanishi, K. M.; Mitarai, K.; Fujii, K. Subspace-search variational quantum eigensolver for excited states
2019
Cited alongside, same era.
Higgott, O.; Wang, D.; Brierley, S. Variational quantum computation of excited states
2019
Cited alongside, same era.
McArdle, S.; Endo, S.; Aspuru-Guzik, A.; Benjamin, S. C.; Yuan, X. Quantum computational chemistry
2020
Cited alongside, same era.
Nam, Y.; Chen, J.-S.; Pisenti, N. C.; Wright, K.; Delaney, C.; Maslov, D.; Brown, K. R.; Allen, S.; Amini, J. M.; Apisdorf, J.; others Ground-state energy estimation of the water molecule on a trapped-ion quantum computer
2020
Cited alongside, same era.
Bauer, B.; Bravyi, S.; Motta, M.; Chan, G. K.-L. Quantum algorithms for quantum chemistry and quantum materials science
2020
Cited alongside, same era.
Ryabinkin, I. G.; Lang, R. A.; Genin, S. N.; Izmaylov, A. F. Iterative qubit coupled cluster approach with efficient screening of generators
2020
Cited alongside, same era.
2021
Later among the works it cites.
Chen, J.; Cheng, H.-P.; Freericks, J. K. Quantum-inspired algorithm for the factorized form of unitary coupled cluster theory
2021
Later among the works it cites.
Bharti, K.; Cervera-Lierta, A.; Kyaw, T. H.; Haug, T.; Alperin-Lea, S.; Anand, A.; Degroote, M.; Heimonen, H.; Kottmann, J. S.; Menke, T.; others Noisy intermediate-scale quantum algorithms
2022
Later among the works it cites.
Tilly, J.; Chen, H.; Cao, S.; Picozzi, D.; Setia, K.; Li, Y.; Grant, E.; Wossnig, L.; Rungger, I.; Booth, G. H.; others The variational quantum eigensolver: a review of methods and best practices
2022
Later among the works it cites.
Liu, J.; Fan, Y.; Li, Z.; Yang, J. Quantum algorithms for electronic structures: basis sets and boundary conditions
2022
Later among the works it cites.
Huang, K.; Cai, X.; Li, H.; Ge, Z.-Y.; Hou, R.; Li, H.; Liu, T.; Shi, Y.; Chen, C.; Zheng, D.; others Variational quantum computation of molecular linear response properties on a superconducting quantum processor
2022
Later among the works it cites.
Fedorov, D. A.; Peng, B.; Govind, N.; Alexeev, Y. VQE method: a short survey and recent developments
2022
Later among the works it cites.
Anand, A.; Schleich, P.; Alperin-Lea, S.; Jensen, P. W.; Sim, S.; Díaz-Tinoco, M.; Kottmann, J. S.; Degroote, M.; Izmaylov, A. F.; Aspuru-Guzik, A. A quantum computing view on unitary coupled cluster theory
2022
Later among the works it cites.
Yordanov, Y. S.; Barnes, C. H. W.; Arvidsson-Shukur, D. R. M. Molecular-excited-state calculations with the qubit-excitation-based adaptive variational quantum eigensolver protocol
2022
Later among the works it cites.
Fan, Y.; Liu, J.; Zeng, X.; Xu, Z.; Shang, H.; Li, Z.; Yang, J. Q
2022
Later among the works it cites.
Fan, Y.; Liu, J.; Li, Z.; Yang, J. Quantum circuit matrix product state ansatz for large-scale simulations of molecules
2023
Later among the works it cites.
Zeng, X.; Fan, Y.; Liu, J.; Li, Z.; Yang, J. Quantum neural network inspired hardware adaptable ansatz for efficient quantum simulation of chemical systems
2023
Later among the works it cites.
Magoulas, I.; Evangelista, F. A. CNOT-Efficient Circuits for Arbitrary Rank Many-Body Fermionic and Qubit Excitations
2023
Later among the works it cites.
Magoulas, I.; Evangelista, F. A. Linear-Scaling Quantum Circuits for Computational Chemistry
2023
Later among the works it cites.
Asthana, A.; Kumar, A.; Abraham, V.; Grimsley, H.; Zhang, Y.; Cincio, L.; Tretiak, S.; Dub, P. A.; Economou, S. E.; Barnes, E.; others Quantum self-consistent equation-of-motion method for computing molecular excitation energies, ionization potentials, and electron affinities on a quantum computer
2023
Later among the works it cites.