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Achieving an accurate description of fermionic systems typically requires considerably many more orbitals than fermions.
Zur quantelung des idealen einatomigen gases
Enrico Fermi · 1926
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Über die quantenmechanik der elektronen in kristallgittern
Felix Bloch · 1929
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On the interaction of electrons in metals
E. Wigner · 1934
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Self-consistent equations including exchange and correlation effects
W. Kohn and L. J. Sham · 1965
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Ground state of the fermion one-component plasma: A monte carlo study in two and three dimensions
D. Ceperley · 1978
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Ground state of the electron gas by a stochastic method
D. M. Ceperley and B. J. Alder · 1980
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Accurate and simple analytic representation of the electron-gas correlation energy
John P. Perdew and Yue Wang · 1992
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s- and p-wave pairings in the dilute electron gas: Superconductivity mediated by the coulomb hole in the vicinity of the wigner-crystal phase
Yasutami Takada · 1993
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Effects of three-body and backflow correlations in the two-dimensional electron gas
Yongkyung Kwon, D. M. Ceperley, and Richard M. Martin · 1993
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Fermion analogy of anyon superconductivity in the two-dimensional electron gas
Yong Ren and Fu Chun Zhang · 1994
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Superconductivity in a two-dimensional electron gas
Philip Phillips, Yi Wan, Ivar Martin, Sergey Knysh, and Denis Dalidovich · 1998
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Effects of backflow correlation in the three-dimensional electron gas: Quantum monte carlo study
Yongkyung Kwon, D. M. Ceperley, and Richard M. Martin · 1998
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Quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
Daniel S. Abrams and Seth Lloyd · 1999
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Twist-averaged boundary conditions in continuum quantum monte carlo algorithms
C. Lin, F. H. Zong, and D. M. Ceperley · 2001
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Spin-polarization transition in the two-dimensional electron gas
D Varsano, S Moroni, and G Senatore · 2001
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Spin effects in the 2d electron gas
Gaetano Senatore, S Moroni, and D Varsano · 2001
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Correlation energy and spin polarization in the 2d electron gas
Claudio Attaccalite, Saverio Moroni, Paola Gori-Giorgi, and Giovanni B. Bachelet · 2002
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Quantum computation and quantum information, 2002
Michael A Nielsen and Isaac Chuang · 2002
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Simulated quantum computation of molecular energies
Alán Aspuru-Guzik, Anthony D. Dutoi, Peter J. Love, and Martin Head-Gordon · 2005
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Quantum theory of the electron liquid
Gabriele Giuliani and Giovanni Vignale · 2005
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Inhomogeneous backflow transformations in quantum monte carlo calculations
P. López Ríos, A. Ma, N. D. Drummond, M. D. Towler, and R. J. Needs · 2006
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Finite-size errors in continuum quantum monte carlo calculations
N. D. Drummond, R. J. Needs, A. Sorouri, and W. M. C. Foulkes · 2008
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Phase diagram of the low-density two-dimensional homogeneous electron gas
N. D. Drummond and R. J. Needs · 2009
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Fermion monte carlo without fixed nodes: A game of life, death, and annihilation in slater determinant space
George H. Booth, Alex J. W. Thom, and Ali Alavi · 2009
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Quantum circuits for strongly correlated quantum systems
Frank Verstraete, J. Ignacio Cirac, and José I. Latorre · 2009
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How to perform the most accurate possible phase measurements
D. W. Berry, B. L. Higgins, S. D. Bartlett, M. W. Mitchell, G. J. Pryde, and H. M. Wiseman · 2009
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Correlation energy of the uniform electron gas from an interpolation between high- and low-density limits
Jianwei Sun, John P. Perdew, and Michael Seidl · 2010
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Hamiltonian simulation using linear combinations of unitary operations
Andrew M Childs and Nathan Wiebe · 2012
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Quantum monte carlo study of the three-dimensional spin-polarized homogeneous electron gas
G. G. Spink, R. J. Needs, and N. D. Drummond · 2013
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A variational eigenvalue solver on a photonic quantum processor
Toward the first quantum simulation with quantum speedup
Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, and Yuan Su · 2018
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Hamiltonian simulation in the interaction picture
Guang Hao Low and Nathan Wiebe · 2018
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Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
Ian D. Kivlichan, Jarrod McClean, Nathan Wiebe, Craig Gidney, Alán Aspuru-Guzik, Garnet Kin-Lic Chan, and Ryan Babbush · 2018
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Improved techniques for preparing eigenstates of fermionic hamiltonians
Dominic W Berry, Mária Kieferová, Artur Scherer, Yuval R Sanders, Guang Hao Low, Nathan Wiebe, Craig Gidney, and Ryan Babbush · 2018
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Quantum algorithm for spectral measurement with a lower gate count
David Poulin, Alexei Kitaev, Damian S. Steiger, Matthew B. Hastings, and Matthias Troyer · 2018
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Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’brien · 2014
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Gate-count estimates for performing quantum chemistry on small quantum computers
Dave Wecker, Bela Bauer, Bryan K. Clark, Matthew B. Hastings, and Matthias Troyer · 2014
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Molecular electronic-structure theory
Trygve Helgaker, Poul Jorgensen, and Jeppe Olsen · 2014
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Exploiting locality in quantum computation for quantum chemistry
Jarrod R. McClean, Ryan Babbush, Peter J. Love, and Alán Aspuru-Guzik · 2014
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Fourier transform for fermionic systems and the spectral tensor network
Andrew J. Ferris · 2014
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The trotter step size required for accurate quantum simulation of quantum chemistry
David Poulin, Matthew B Hastings, Dave Wecker, Nathan Wiebe, Andrew C Doherty, and Matthias Troyer · 2015
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Chemical basis of trotter-suzuki errors in quantum chemistry simulation
Ryan Babbush, Jarrod McClean, Dave Wecker, Alán Aspuru-Guzik, and Nathan Wiebe · 2015
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Quantum chemistry in the age of quantum computing
Yudong Cao, Jonathan Romero, Jonathan P Olson, Matthias Degroote, Peter D Johnson, Mária Kieferová, Ian D Kivlichan, Tim Menke, Borja Peropadre, Nicolas PD Sawaya, et al · 2019
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Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization
Dominic W. Berry, Craig Gidney, Mario Motta, Jarrod R. McClean, and Ryan Babbush · 2019
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Ryan Babbush, Dominic W Berry, Jarrod R McClean, and Hartmut Neven · 2019
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Ian D. Kivlichan, Craig Gidney, Dominic W. Berry, Nathan Wiebe, Jarrod McClean, Wei Sun, Zhang Jiang, Nicholas Rubin, Austin Fowler, Alán Aspuru-Guzik, Hartmut Neven, and Ryan Babbush · 2020
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Quantum computing enhanced computational catalysis
Vera von Burg, Guang Hao Low, Thomas Häner, Damian S Steiger, Markus Reiher, Martin Roetteler, and Matthias Troyer · 2020
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Early fault-tolerant simulations of the Hubbard model
Earl T Campbell · 2020
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Phase diagram of the interacting persistent spin-helix state
Hong Liu, Weizhe Edward Liu, Stefano Chesi, Robert Joynt, and Dimitrie Culcer · 2020
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Richard Meister, Simon C Benjamin, and Earl T Campbell · 2020
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Nearly tight Trotterization of interacting electrons
Yuan Su, Hsin-Yuan Huang, and Earl T Campbell · 2021
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Theory of Trotter error with commutator scaling
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Low rank representations for quantum simulation of electronic structure
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