Fetching the paper…
Reading the bibliography…
The Hamiltonian operator plays a central role in quantum theory being a generator of unitary quantum dynamics.
1908
Earlier work this paper cites.
B. Fornberg, Generation of finite difference formulas on arbitrarily spaced grids
1988
Earlier work this paper cites.
G. G. Balint-Kurti, R. N. Dixon, and C. C. Marston, Grid methods for solving the Schrödinger equation and time dependent quantum dynamics of molecular photofragmentation and reactive scattering processes
1992
Earlier work this paper cites.
J. Dalibard, Y. Castin, and K. Mølmer, Wave-function approach to dissipative processes in quantum optics
1992
Earlier work this paper cites.
A. Yu. Kitaev, Quantum measurements and the Abelian Stabilizer Problem
1996
Earlier work this paper cites.
D. S. Abrams and S. Lloyd, Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors
1999
Earlier work this paper cites.
A. Sørensen and K. Mølmer, Quantum Computation with Ions in Thermal Motion
1999
Earlier work this paper cites.
K. Mølmer and A. Sørensen, Multiparticle Entanglement of Hot Trapped Ions
1999
Earlier work this paper cites.
A. K. Ekert, C. M. Alves, D. K. L. Oi, M. Horodecki, P. Horodecki, and L. C. Kwek, Direct Estimations of Linear and Nonlinear Functionals of a Quantum State
2002
Earlier work this paper cites.
A. K. Ekert, C. M. Alves, D. K. L. Oi, M. Horodecki, P. Horodecki, and L. C. Kwek, Direct Estimations of Linear and Nonlinear Functionals of a Quantum State
2002
Earlier work this paper cites.
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, Simulated Quantum Computation of Molecular Energies
2005
Earlier work this paper cites.
A. Weiße, G. Wellein, A. Alvermann, and H. Fehske, The kernel polynomial method
2006
Earlier work this paper cites.
M. Dobsicek, G. Johansson, V. Shumeiko, and G. Wendin Arbitrary accuracy iterative quantum phase estimation algorithm using a single ancillary qubit: A two-qubit benchmark
2007
Earlier work this paper cites.
Guilu Long and Yang Liu, Duality quantum computing
2008
Earlier work this paper cites.
N. Schuch and F. Verstraete, Computational complexity of interacting electrons and fundamental limitations of density functional theory
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information
2010
Earlier work this paper cites.
Knut Mørken, Numerical Algorithms and Digital Representation
2010
Earlier work this paper cites.
Xiao-Qi Zhou, T. C. Ralph, P. Kalasuwan, Mian Zhang, A. Peruzzo, B. P. Lanyon, and J. L. O’Brien, Adding control to arbitrary unknown quantum operations
2011
Earlier work this paper cites.
2012
Earlier work this paper cites.
I. Bloch, J. Dalibard, and S. Nascimbéne, Quantum simulations with ultracold quantum gases
2012
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien, A variational eigenvalue solver on a photonic quantum processor
2014
Earlier work this paper cites.
E. Farhi, J. Goldstone, and S. Gutmann, A Quantum Approximate Optimization Algorithm
2014
Earlier work this paper cites.
J. R. McClean, R. Babbush, P. J. Love, and A. Aspuru-Guzik, Exploiting Locality in Quantum Computation for Quantum Chemistry
2014
Earlier work this paper cites.
U. L. Heras, A. Mezzacapo, L. Lamata, S. Filipp, A. Wallraff, and E. Solano, Digital Quantum Simulation of Spin Systems in Superconducting Circuits
2014
Earlier work this paper cites.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Simulating Hamiltonian Dynamics with a Truncated Taylor Series
2015
Earlier work this paper cites.
R. Islam, Ruichao Ma, P. M. Preiss, M. E. Tai, A. Lukin, M. Rispoli, and M. Greiner, Measuring entanglement entropy in a quantum many-body system
2015
Earlier work this paper cites.
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends et al
2016
Earlier work this paper cites.
J. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik, The theory of variational hybrid quantum-classical algorithms
2016
Earlier work this paper cites.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
2017
Earlier work this paper cites.
Ying Li and S. C. Benjamin, Efficient Variational Quantum Simulator Incorporating Active Error Minimization
2017
Earlier work this paper cites.
A. M. Childs, R. Kothari, and R. D. Somma, Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
2017
Earlier work this paper cites.
A. Mazurenko, C. S. Chiu, G. Ji, M. F. Parsons, M. Kanász-Nagy, R. Schmidt, F. Grusdt, E. Demler, D. Greif, and M. Greiner, A cold-atom Fermi–Hubbard antiferromagnet
2017
Earlier work this paper cites.
D. P. Kingma and J. L. Ba, Adam: A Method For Stochastic Optimisation
2017
Earlier work this paper cites.
D. Maslov, Basic circuit compilation techniques for an ion-trap quantum machine
2017
Earlier work this paper cites.
J. Preskill, Quantum Computing in the NISQ era and beyond
2018
Earlier work this paper cites.
N. Moll, P. Barkoutsos, L. S. Bishop, J. M. Chow, A. Cross, D. J. Egger, S. Filipp, Andreas Fuhrer, J. M. Gambetta, M. Ganzhorn, A. Kandala, A. Mezzacapo, P. Müller, W. Riess, G. Salis, J. Smolin, I. Tavernelli, and K. Temme, Quantum Sci. Technol. 3
2018
Cited alongside, same era.
J. R. McClean, S. Boixo, Vadim N. Smelyanskiy, Ryan Babbush, and Hartmut Neven, Barren plateaus in quantum neural network training landscapes
2018
Cited alongside, same era.
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien, Low-cost error mitigation by symmetry verification
2018
Cited alongside, same era.
A. Childs, D. Maslov, Yunseong Nam, N. J. Ross, and Yuan Su, Toward the first quantum simulation with quantum speedup
2018
Cited alongside, same era.
O. Kyriienko and A. S. Sørensen, Floquet Quantum Simulation with Superconducting Qubits
2018
C. Kokail, C. Maier, R. van Bijnen, T. Brydges, M. K. Joshi, P. Jurcevic, C. A. Muschik, P. Silvi, R. Blatt, C. F. Roos, and P. Zoller, Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
2019
Later among the works it cites.
T. Jones, S. Endo, S. McArdle, Xiao Yuan, and S. C. Benjamin, Variational quantum algorithms for discovering Hamiltonian spectra
2019
Later among the works it cites.
M. Schuld, V. Bergholm, C. Gogolin, J. Izaac, and N. Killoran, Evaluating analytic gradients on quantum hardware
2019
Later among the works it cites.
E. Grant, L. Wossnig, M. Ostaszewski, M. Benedetti, An initialization strategy for addressing barren plateaus in parametrized quantum circuits
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
K. Mitarai, M. Negoro, M. Kitagawa, and K. Fujii, Quantum circuit learning
2018
Cited alongside, same era.
F. Arute et al., Quantum supremacy using a programmable superconducting processor
2019
Cited alongside, same era.
A. Kandala, K. Temme, A. D. Corcoles, A. Mezzacapo, J. M. Chow, and J. M. Gambetta, Error mitigation extends the computational reach of a noisy quantum processor
2019
Cited alongside, same era.
M. Ganzhorn, D. J. Egger, P. Barkoutsos, P. Ollitrault, G. Salis, N. Moll, M. Roth, A. Fuhrer, P. Mueller, S. Woerner, I. Tavernelli, and S. Filipp, Gate-efficient simulation of molecular eigenstates on a quantum computer
2019
Cited alongside, same era.
2019
Cited alongside, same era.
M. Benedetti, E. Lloyd, S. Sack, and M. Fiorentini, Parameterized quantum circuits as machine learning models
2019
Cited alongside, same era.
Y. Herasymenko and T. E. O’Brien, A diagrammatic approach to variational quantum ansatz construction
2019
Cited alongside, same era.
Y. Nam, J.-S. Chen, N. C. Pisenti, K. Wright, C. Delaney, D. Maslov, K. R. Brown, S. Allen, J. M. Amini, J. Apisdorf, K. M. Beck, A. Blinov, V. Chaplin, Mika Chmielewski, C.Collins, S. Debnath, A. M. Ducore, K. M. Hudek, M. Keesan, S. M. Kreikemeier, J. Mizrahi, P. Solomon, M. Williams, J. D. Wong-Campos, C. Monroe, J. Kim, Ground-state energy estimation of the water molecule on a trapped ion quantum computer
2020
Closest in time.
F. Arute et al., Hartree-Fock on a superconducting qubit quantum computer
2020
Closest in time.
S. McArdle, S. Endo, A. Aspuru-Guzik, S. C. Benjamin, and Xiao Yuan, Quantum computational chemistry
2020
Closest in time.
2020
Closest in time.
V. Akshay, H. Philathong, M. E. S. Morales, and J. D. Biamonte, Reachability Deficits in Quantum Approximate Optimization
2020
Closest in time.
2020
Closest in time.
M. Cerezo, Patrick J. Coles, Impact of Barren Plateaus on the Hessian and Higher Order Derivatives
2020
Closest in time.
2020
Closest in time.
B. T. Gard, L. Zhu, G. S. Barron, N. J. Mayhall, S. E. Economou, E. Barnes, Efficient symmetry-preserving state preparation circuits for the variational quantum eigensolver algorithm
2020
Closest in time.
J. Stokes, J. Izaac, N. Killoran, and G. Carleo, Quantum Natural Gradient
2020
Closest in time.
J. M. Kübler, A. Arrasmith, L. Cincio, and P. J. Coles, An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
2020
Closest in time.
V. Verteletskyi, Tzu-Ching Yen, A. F. Izmaylov, Measurement Optimization in the Variational Quantum Eigensolver Using a Minimum Clique Cover
2020
Closest in time.
A. F. Izmaylov, Tzu-Ching Yen, R. A. Lang, and V. Verteletskyi, Unitary Partitioning Approach to the Measurement Problem in the Variational Quantum Eigensolver Method
2020
Closest in time.
Tzu-Ching Yen, V. Verteletskyi, and A. F. Izmaylov, Measuring All Compatible Operators in One Series of Single-Qubit Measurements Using Unitary Transformations
2020
Closest in time.
J. Cotler and F. Wilczek, Quantum Overlapping Tomography
2020
Closest in time.
2020
Closest in time.
Ming-Cheng Chen, Ming Gong, Xiaosi Xu, Xiao Yuan, Jian-Wen Wang, Can Wang, Chong Ying, Jin Lin, Yu Xu, Yulin Wu, Shiyu Wang, Hui Deng, Futian Liang, Cheng-Zhi Peng, S. C. Benjamin, Xiaobo Zhu, Chao-Yang Lu, and Jian-Wei Pan, Demonstration of Adiabatic Variational Quantum Computing with a Superconducting Quantum Coprocessor
2020
Closest in time.
Suguru Endo, Jinzhao Sun, Ying Li, Simon C. Benjamin, and Xiao Yuan, Variational Quantum Simulation of General Processes
2020
Closest in time.
O. Kyriienko, Quantum inverse iteration algorithm for programmable quantum simulators
2020
Closest in time.
N. H. Stair, R. Huang, and F. A. Evangelista, A Multireference Quantum Krylov Algorithm for Strongly Correlated Electrons
2020
Closest in time.
W. J. Huggins, J. Lee, U. Baek, B. O’Gorman, and K. B. Whaley, A Non-Orthogonal Variational Quantum Eigensolver
2020
Closest in time.
Minh C. Tran, Su-Kuan Chu, Yuan Su, A. M. Childs, and A. V. Gorshkov, Destructive Error Interference in Product-Formula Lattice Simulation
2020
Closest in time.
J. R. McClean et al
2020
Closest in time.
A. Elben, B. Vermersch, R. van Bijnen, C. Kokail, T. Brydges, C. Maier, M. K. Joshi, R. Blatt, C. F. Roos, and P. Zoller, Cross-Platform Verification of Intermediate Scale Quantum Devices
2020
Closest in time.
Hsin-Yuan Huang, R. Kueng, and J. Preskill, Predicting Many Properties of a Quantum System from Very Few Measurements
2020
Closest in time.
R. Wiersema, Cunlu Zhou, Y. de Sereville, J. Felipe Carrasquilla, Yong Baek Kim, and Henry Yuen, Exploring Entanglement and Optimization within the Hamiltonian Variational Ansatz
2020
Closest in time.
K. Seki and S. Yunoki, Quantum power method by a superposition of time-evolved states
2020
Closest in time.
A. Skolik, J. R. McClean, M. Mohseni, P. van der Smagt, M. Leib, Layerwise learning for quantum neural networks
2021
Closest in time.
Suguru Endo, Zhenyu Cai, S. C. Benjamin, and Xiao Yuan, Hybrid quantum-classical algorithms and quantum error mitigation
2021
Closest in time.
A. M. Childs, Yuan Su, Minh C. Tran, N. Wiebe, and Shuchen Zhu, Theory of Trotter Error with Commutator Scaling
2021
Closest in time.
Hsin-Yuan Huang, M. Broughton, M. Mohseni, R. Babbush, S. Boixo, H. Neven, and J. R. McClean, Power of data in quantum machine learning
2021
Closest in time.