DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Communication: Approaching exact quantum chemistry by cluster analysis of full configuration interaction quantum Monte Carlo wave functions

Abstract

We propose to accelerate convergence toward full configuration interaction (FCI) energetics by using the coupled-cluster approach, in which singly and doubly excited clusters, needed to determine the energy, are iterated in the presence of their three- and four-body counterparts extracted from FCI quantum Monte Carlo (FCIQMC) propagations. Preliminary calculations for the water molecule at the equilibrium and stretched geometries show that we can accurately extrapolate the FCI energetics based on the early stages of FCIQMC propagations.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
OSTI Identifier:
1593391
Alternate Identifier(s):
OSTI ID: 1478133; OSTI ID: 1593399
Grant/Contract Number:  
FG02-01ER15228
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 149; Journal Issue: 15; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Deustua, J. Emiliano, Magoulas, Ilias, Shen, Jun, and Piecuch, Piotr. Communication: Approaching exact quantum chemistry by cluster analysis of full configuration interaction quantum Monte Carlo wave functions. United States: N. p., 2018. Web. doi:10.1063/1.5055769.
Deustua, J. Emiliano, Magoulas, Ilias, Shen, Jun, & Piecuch, Piotr. Communication: Approaching exact quantum chemistry by cluster analysis of full configuration interaction quantum Monte Carlo wave functions. United States. https://doi.org/10.1063/1.5055769
Deustua, J. Emiliano, Magoulas, Ilias, Shen, Jun, and Piecuch, Piotr. Sun . "Communication: Approaching exact quantum chemistry by cluster analysis of full configuration interaction quantum Monte Carlo wave functions". United States. https://doi.org/10.1063/1.5055769. https://www.osti.gov/servlets/purl/1593391.
@article{osti_1593391,
title = {Communication: Approaching exact quantum chemistry by cluster analysis of full configuration interaction quantum Monte Carlo wave functions},
author = {Deustua, J. Emiliano and Magoulas, Ilias and Shen, Jun and Piecuch, Piotr},
abstractNote = {We propose to accelerate convergence toward full configuration interaction (FCI) energetics by using the coupled-cluster approach, in which singly and doubly excited clusters, needed to determine the energy, are iterated in the presence of their three- and four-body counterparts extracted from FCI quantum Monte Carlo (FCIQMC) propagations. Preliminary calculations for the water molecule at the equilibrium and stretched geometries show that we can accurately extrapolate the FCI energetics based on the early stages of FCIQMC propagations.},
doi = {10.1063/1.5055769},
journal = {Journal of Chemical Physics},
number = 15,
volume = 149,
place = {United States},
year = {Sun Oct 21 00:00:00 EDT 2018},
month = {Sun Oct 21 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 56 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Developments in stochastic coupled cluster theory: The initiator approximation and application to the uniform electron gas
journal, February 2016

  • Spencer, James S.; Thom, Alex J. W.
  • The Journal of Chemical Physics, Vol. 144, Issue 8
  • DOI: 10.1063/1.4942173

Perturbatively selected CI as an optimal source for externally corrected CCSD
journal, June 1999

  • Peris, G.; Planelles, J.; Malrieu, J. -P.
  • The Journal of Chemical Physics, Vol. 110, Issue 24
  • DOI: 10.1063/1.479116

An efficient matrix product operator representation of the quantum chemical Hamiltonian
journal, December 2015

  • Keller, Sebastian; Dolfi, Michele; Troyer, Matthias
  • The Journal of Chemical Physics, Vol. 143, Issue 24
  • DOI: 10.1063/1.4939000

Highly correlated calculations with a polynomial cost algorithm: A study of the density matrix renormalization group
journal, March 2002

  • Chan, Garnet Kin-Lic; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 116, Issue 11
  • DOI: 10.1063/1.1449459

Stochastic Coupled Cluster Theory
journal, December 2010


Correlation energy extrapolation by intrinsic scaling. III. Compact wave functions
journal, January 2004

  • Bytautas, Laimutis; Ruedenberg, Klaus
  • The Journal of Chemical Physics, Vol. 121, Issue 22
  • DOI: 10.1063/1.1814937

Structure of the exact wave function
journal, August 2000

  • Nakatsuji, Hiroshi
  • The Journal of Chemical Physics, Vol. 113, Issue 8
  • DOI: 10.1063/1.1287275

A General Nonlinear Expansion Form for Electronic Wave Functions
journal, December 2005

  • Shepard, Ron
  • The Journal of Physical Chemistry A, Vol. 109, Issue 50
  • DOI: 10.1021/jp0543431

A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples
journal, February 1982

  • Purvis, George D.; Bartlett, Rodney J.
  • The Journal of Chemical Physics, Vol. 76, Issue 4
  • DOI: 10.1063/1.443164

Semi-stochastic full configuration interaction quantum Monte Carlo: Developments and application
journal, May 2015

  • Blunt, N. S.; Smart, Simon D.; Kersten, J. A. F.
  • The Journal of Chemical Physics, Vol. 142, Issue 18
  • DOI: 10.1063/1.4920975

Error estimates on averages of correlated data
journal, July 1989

  • Flyvbjerg, H.; Petersen, H. G.
  • The Journal of Chemical Physics, Vol. 91, Issue 1
  • DOI: 10.1063/1.457480

Communication: An adaptive configuration interaction approach for strongly correlated electrons with tunable accuracy
journal, April 2016

  • Schriber, Jeffrey B.; Evangelista, Francesco A.
  • The Journal of Chemical Physics, Vol. 144, Issue 16
  • DOI: 10.1063/1.4948308

Externally and internally corrected coupled cluster approaches: an overview
journal, September 2016


Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989

  • Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 90, Issue 2
  • DOI: 10.1063/1.456153

Heat-Bath Configuration Interaction: An Efficient Selected Configuration Interaction Algorithm Inspired by Heat-Bath Sampling
journal, August 2016

  • Holmes, Adam A.; Tubman, Norm M.; Umrigar, C. J.
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00407

Ab initio quantum chemistry using the density matrix renormalization group
journal, March 1999

  • White, Steven R.; Martin, Richard L.
  • The Journal of Chemical Physics, Vol. 110, Issue 9
  • DOI: 10.1063/1.478295

The multifacet graphically contracted function method. I. Formulation and implementation
journal, August 2014

  • Shepard, Ron; Gidofalvi, Gergely; Brozell, Scott R.
  • The Journal of Chemical Physics, Vol. 141, Issue 6
  • DOI: 10.1063/1.4890734

Quantum chemistry using the density matrix renormalization group
journal, October 2001

  • Mitrushenkov, Alexander O.; Fano, Guido; Ortolani, Fabio
  • The Journal of Chemical Physics, Vol. 115, Issue 15
  • DOI: 10.1063/1.1389475

Stochastic coupled cluster theory: Efficient sampling of the coupled cluster expansion
journal, September 2017

  • Scott, Charles J. C.; Thom, Alex J. W.
  • The Journal of Chemical Physics, Vol. 147, Issue 12
  • DOI: 10.1063/1.4991795

Semistochastic Heat-Bath Configuration Interaction Method: Selected Configuration Interaction with Semistochastic Perturbation Theory
journal, March 2017

  • Sharma, Sandeep; Holmes, Adam A.; Jeanmairet, Guillaume
  • Journal of Chemical Theory and Computation, Vol. 13, Issue 4
  • DOI: 10.1021/acs.jctc.6b01028

Strong correlation in incremental full configuration interaction
journal, June 2017

  • Zimmerman, Paul M.
  • The Journal of Chemical Physics, Vol. 146, Issue 22
  • DOI: 10.1063/1.4985566

Adaptive Configuration Interaction for Computing Challenging Electronic Excited States with Tunable Accuracy
journal, October 2017

  • Schriber, Jeffrey B.; Evangelista, Francesco A.
  • Journal of Chemical Theory and Computation, Vol. 13, Issue 11
  • DOI: 10.1021/acs.jctc.7b00725

Single-reference CCSD approach employing three- and four-body CAS SCF corrections: A preliminary study of a simple model
journal, January 1997


Reduced multireference coupled cluster method with singles and doubles: Perturbative corrections for triples
journal, May 2006

  • Li, Xiangzhu; Paldus, Josef
  • The Journal of Chemical Physics, Vol. 124, Issue 17
  • DOI: 10.1063/1.2194543

The multifacet graphically contracted function method. II. A general procedure for the parameterization of orthogonal matrices and its application to arc factors
journal, August 2014

  • Shepard, Ron; Gidofalvi, Gergely; Brozell, Scott R.
  • The Journal of Chemical Physics, Vol. 141, Issue 6
  • DOI: 10.1063/1.4890735

Two-body coupled cluster expansions
journal, September 2001

  • Van Voorhis, Troy; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 115, Issue 11
  • DOI: 10.1063/1.1390516

Open-Source Development Experiences in Scientific Software: The HANDE Quantum Monte Carlo Project
journal, November 2015

  • Spencer, J. S.; Blunt, N. S.; Vigor, W. A.
  • Journal of Open Research Software, Vol. 3
  • DOI: 10.5334/jors.bw

Fermion Monte Carlo without fixed nodes: A game of life, death, and annihilation in Slater determinant space
journal, January 2009

  • Booth, George H.; Thom, Alex J. W.; Alavi, Ali
  • The Journal of Chemical Physics, Vol. 131, Issue 5
  • DOI: 10.1063/1.3193710

Matrix product operators, matrix product states, and ab initio density matrix renormalization group algorithms
journal, July 2016

  • Chan, Garnet Kin-Lic; Keselman, Anna; Nakatani, Naoki
  • The Journal of Chemical Physics, Vol. 145, Issue 1
  • DOI: 10.1063/1.4955108

A deterministic alternative to the full configuration interaction quantum Monte Carlo method
journal, July 2016

  • Tubman, Norm M.; Lee, Joonho; Takeshita, Tyler Y.
  • The Journal of Chemical Physics, Vol. 145, Issue 4
  • DOI: 10.1063/1.4955109

General atomic and molecular electronic structure system
journal, November 1993

  • Schmidt, Michael W.; Baldridge, Kim K.; Boatz, Jerry A.
  • Journal of Computational Chemistry, Vol. 14, Issue 11, p. 1347-1363
  • DOI: 10.1002/jcc.540141112

Correlation energy extrapolation by intrinsic scaling. I. Method and application to the neon atom
journal, January 2004

  • Bytautas, Laimutis; Ruedenberg, Klaus
  • The Journal of Chemical Physics, Vol. 121, Issue 22
  • DOI: 10.1063/1.1811603

Correlation energy extrapolation by intrinsic scaling. II. The water and the nitrogen molecule
journal, January 2004

  • Bytautas, Laimutis; Ruedenberg, Klaus
  • The Journal of Chemical Physics, Vol. 121, Issue 22
  • DOI: 10.1063/1.1811604

A Critical Assessment of Coupled Cluster Method in Quantum Chemistry
book, January 1999


The linked singles and doubles model: An approximate theory of electron correlation based on the coupled‐cluster ansatz
journal, October 1982

  • Cullen, John M.; Zerner, Michael C.
  • The Journal of Chemical Physics, Vol. 77, Issue 8
  • DOI: 10.1063/1.444319

Reduced multireference CCSD method: An effective approach to quasidegenerate states
journal, October 1997

  • Li, Xiangzhu; Paldus, Josef
  • The Journal of Chemical Physics, Vol. 107, Issue 16
  • DOI: 10.1063/1.474289

Incremental full configuration interaction
journal, March 2017

  • Zimmerman, Paul M.
  • The Journal of Chemical Physics, Vol. 146, Issue 10
  • DOI: 10.1063/1.4977727

Exploiting sparsity in the graphically contracted function configuration interaction method
journal, September 2010


Communications: Survival of the fittest: Accelerating convergence in full configuration-interaction quantum Monte Carlo
journal, January 2010

  • Cleland, Deidre; Booth, George H.; Alavi, Ali
  • The Journal of Chemical Physics, Vol. 132, Issue 4
  • DOI: 10.1063/1.3302277

Efficient Heat-Bath Sampling in Fock Space
journal, March 2016

  • Holmes, Adam A.; Changlani, Hitesh J.; Umrigar, C. J.
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 4
  • DOI: 10.1021/acs.jctc.5b01170

Full configuration–interaction and state of the art correlation calculations on water in a valence double‐zeta basis with polarization functions
journal, May 1996

  • Olsen, Jeppe; Jo/rgensen, Poul; Koch, Henrik
  • The Journal of Chemical Physics, Vol. 104, Issue 20
  • DOI: 10.1063/1.471518

Linked coupled cluster Monte Carlo
journal, January 2016

  • Franklin, R. S. T.; Spencer, J. S.; Zoccante, A.
  • The Journal of Chemical Physics, Vol. 144, Issue 4
  • DOI: 10.1063/1.4940317

Valence bond corrected single reference coupled cluster approach: I. General formalism
journal, September 1994

  • Paldus, J.; Planelles, J.
  • Theoretica Chimica Acta, Vol. 89, Issue 1
  • DOI: 10.1007/bf01167279

Exactness of Two-Body Cluster Expansions in Many-Body Quantum Theory
journal, March 2003


Semistochastic Heat-Bath Configuration Interaction Method: Selected Configuration Interaction with Semistochastic Perturbation Theory.
text, January 2017

  • Sharma, S.; Holmes, Aa; Jeanmairet, G.
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.8720

Stochastic coupled cluster theory: Efficient sampling of the coupled cluster expansion
text, January 2017

  • Scott, Cjc; Thom, Ajw
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.13428

Semi-stochastic full configuration interaction quantum Monte Carlo: developments and application
text, January 2015


An Efficient Matrix Product Operator Representation of the Quantum-Chemical Hamiltonian
text, January 2015


Matrix Product Operators, Matrix Product States, and ab initio Density Matrix Renormalization Group algorithms
preprint, January 2016


Works referencing / citing this record:

Accurate excited-state energetics by a combination of Monte Carlo sampling and equation-of-motion coupled-cluster computations
journal, March 2019

  • Deustua, J. Emiliano; Yuwono, Stephen H.; Shen, Jun
  • The Journal of Chemical Physics, Vol. 150, Issue 11
  • DOI: 10.1063/1.5090346

Downfolding of many-body Hamiltonians using active-space models: Extension of the sub-system embedding sub-algebras approach to unitary coupled cluster formalisms
journal, July 2019

  • Bauman, Nicholas P.; Bylaska, Eric J.; Krishnamoorthy, Sriram
  • The Journal of Chemical Physics, Vol. 151, Issue 1
  • DOI: 10.1063/1.5094643

Can the distinguishable cluster approximation be improved systematically by including connected triples?
journal, August 2019

  • Rishi, Varun; Valeev, Edward F.
  • The Journal of Chemical Physics, Vol. 151, Issue 6
  • DOI: 10.1063/1.5097150

Evaluation of full valence correlation energies and gradients
journal, June 2019

  • Zimmerman, Paul M.; Rask, Alan E.
  • The Journal of Chemical Physics, Vol. 150, Issue 24
  • DOI: 10.1063/1.5100934

The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges
journal, January 2020

  • Baiardi, Alberto; Reiher, Markus
  • The Journal of Chemical Physics, Vol. 152, Issue 4
  • DOI: 10.1063/1.5129672

Unbiasing the initiator approximation in full configuration interaction quantum Monte Carlo
journal, December 2019

  • Ghanem, Khaldoon; Lozovoi, Alexander Y.; Alavi, Ali
  • The Journal of Chemical Physics, Vol. 151, Issue 22
  • DOI: 10.1063/1.5134006

Quantum Computation of Electronic Transitions Using a Variational Quantum Eigensolver
journal, June 2019


Unbiasing the initiator approximation in full configuration interaction quantum Monte Carlo.
text, January 2019

  • Ghanem, Khaldoon; Lozovoi, Alexander Y.; Alavi, Ali
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.47442

Quantum Computation of Electronic Transitions using a Variational Quantum Eigensolver
text, January 2019


Accelerating Stochastic Quantum Chemistry
text, January 2019