Description of reaction and vibrational energetics of CO2–NH3 interaction using quantum computing algorithms
Abstract
CO2 capture is critical to solving global warming. Amine-based solvents are extensively used to chemically absorb CO2. Thus, it is crucial to study the chemical absorption of CO2 by amine-based solvents to better understand and optimize CO2 capture processes. Here, we use quantum computing algorithms to quantify molecular vibrational energies and reaction pathways between CO2 and a simplified amine-based solvent model—NH3. Molecular vibrational properties are important to understanding kinetics of reactions. However, the molecule size correlates with the strength of anharmonicity effect on vibrational properties, which can be challenging to address using classical computing. Quantum computing can help enhance molecular vibrational calculations by including anharmonicity. We implement a variational quantum eigensolver (VQE) algorithm in a quantum simulator to calculate ground state vibrational energies of reactants and products of the CO2 and NH3 reaction. The VQE calculations yield ground vibrational energies of CO2 and NH3 with similar accuracy to classical computing. In the presence of hardware noise, Compact Heuristic for Chemistry (CHC) ansatz with shallower circuit depth performs better than Unitary Vibrational Coupled Cluster. The “Zero Noise Extrapolation” error-mitigation approach in combination with CHC ansatz improves the vibrational calculation accuracy. Excited vibrational states are accessed with quantum equation of motion methodmore »
- Authors:
-
- National Energy Technology Lab. (NETL), Pittsburgh, PA (United States); Univ. of Kentucky, Lexington, KY (United States)
- National Energy Technology Lab. (NETL), Pittsburgh, PA (United States)
- Univ. of Kentucky, Lexington, KY (United States)
- Publication Date:
- Research Org.:
- National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)
- Sponsoring Org.:
- USDOE Office of Fossil Energy (FE); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1962424
- Alternate Identifier(s):
- OSTI ID: 1961480
- Grant/Contract Number:
- 1024903; 89243318CFE000003; LDRD #1024903
- Resource Type:
- Accepted Manuscript
- Journal Name:
- AVS Quantum Science
- Additional Journal Information:
- Journal Volume: 5; Journal Issue: 1; Journal ID: ISSN 2639-0213
- Publisher:
- American Institute of Physics (AIP) - American Vacuum Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Quantum computing; Self consistent field methods; Energy economics; Global warming; Potential energy surfaces; Vibrational properties; Algorithms and data structure; Quantum simulators; Coupled-cluster methods; Reaction mechanisms
Citation Formats
Nguyen, Manh Tien, Lee, Yueh-Lin, Alfonso, Dominic, Shao, Qing, and Duan, Yuhua. Description of reaction and vibrational energetics of CO2–NH3 interaction using quantum computing algorithms. United States: N. p., 2023.
Web. doi:10.1116/5.0137750.
Nguyen, Manh Tien, Lee, Yueh-Lin, Alfonso, Dominic, Shao, Qing, & Duan, Yuhua. Description of reaction and vibrational energetics of CO2–NH3 interaction using quantum computing algorithms. United States. https://doi.org/10.1116/5.0137750
Nguyen, Manh Tien, Lee, Yueh-Lin, Alfonso, Dominic, Shao, Qing, and Duan, Yuhua. Tue .
"Description of reaction and vibrational energetics of CO2–NH3 interaction using quantum computing algorithms". United States. https://doi.org/10.1116/5.0137750. https://www.osti.gov/servlets/purl/1962424.
@article{osti_1962424,
title = {Description of reaction and vibrational energetics of CO2–NH3 interaction using quantum computing algorithms},
author = {Nguyen, Manh Tien and Lee, Yueh-Lin and Alfonso, Dominic and Shao, Qing and Duan, Yuhua},
abstractNote = {CO2 capture is critical to solving global warming. Amine-based solvents are extensively used to chemically absorb CO2. Thus, it is crucial to study the chemical absorption of CO2 by amine-based solvents to better understand and optimize CO2 capture processes. Here, we use quantum computing algorithms to quantify molecular vibrational energies and reaction pathways between CO2 and a simplified amine-based solvent model—NH3. Molecular vibrational properties are important to understanding kinetics of reactions. However, the molecule size correlates with the strength of anharmonicity effect on vibrational properties, which can be challenging to address using classical computing. Quantum computing can help enhance molecular vibrational calculations by including anharmonicity. We implement a variational quantum eigensolver (VQE) algorithm in a quantum simulator to calculate ground state vibrational energies of reactants and products of the CO2 and NH3 reaction. The VQE calculations yield ground vibrational energies of CO2 and NH3 with similar accuracy to classical computing. In the presence of hardware noise, Compact Heuristic for Chemistry (CHC) ansatz with shallower circuit depth performs better than Unitary Vibrational Coupled Cluster. The “Zero Noise Extrapolation” error-mitigation approach in combination with CHC ansatz improves the vibrational calculation accuracy. Excited vibrational states are accessed with quantum equation of motion method for CO2 and NH3. Using quantum Hartree–Fock (HF) embedding algorithm to calculate electronic energies, the corresponding reaction profile compares favorably with Coupled Cluster Singles and Doubles while being more accurate than HF. Our research showcases quantum computing applications in the study of CO2 capture reactions.},
doi = {10.1116/5.0137750},
journal = {AVS Quantum Science},
number = 1,
volume = 5,
place = {United States},
year = {Tue Mar 14 00:00:00 EDT 2023},
month = {Tue Mar 14 00:00:00 EDT 2023}
}
Works referenced in this record:
Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers
journal, January 2022
- Li, Weitang; Huang, Zigeng; Cao, Changsu
- Chemical Science, Vol. 13, Issue 31
P y SCF: the Python-based simulations of chemistry framework : The PySCF program
journal, September 2017
- Sun, Qiming; Berkelbach, Timothy C.; Blunt, Nick S.
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1
Quantum Algorithms for Quantum Chemistry and Quantum Materials Science
journal, October 2020
- Bauer, Bela; Bravyi, Sergey; Motta, Mario
- Chemical Reviews, Vol. 120, Issue 22
On the limited memory BFGS method for large scale optimization
journal, August 1989
- Liu, Dong C.; Nocedal, Jorge
- Mathematical Programming, Vol. 45, Issue 1-3
Quantum chemistry beyond Born-Oppenheimer approximation on a quantum computer: A simulated phase estimation study
journal, June 2016
- Veis, Libor; Višňák, Jakub; Nishizawa, Hiroaki
- International Journal of Quantum Chemistry, Vol. 116, Issue 18
Quantum HF/DFT-embedding algorithms for electronic structure calculations: Scaling up to complex molecular systems
journal, March 2021
- Rossmannek, Max; Barkoutsos, Panagiotis Kl.; Ollitrault, Pauline J.
- The Journal of Chemical Physics, Vol. 154, Issue 11
Hardware efficient quantum algorithms for vibrational structure calculations
journal, January 2020
- Ollitrault, Pauline J.; Baiardi, Alberto; Reiher, Markus
- Chemical Science, Vol. 11, Issue 26
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996
- Kresse, G.; Furthmüller, J.
- Computational Materials Science, Vol. 6, Issue 1, p. 15-50
The self-consistent-field approach to polyatomic vibrations
journal, June 1986
- Bowman, Joel M.
- Accounts of Chemical Research, Vol. 19, Issue 7
Quantum algorithms for fermionic simulations
journal, July 2001
- Ortiz, G.; Gubernatis, J. E.; Knill, E.
- Physical Review A, Vol. 64, Issue 2
Carbon capture and storage
journal, December 2008
- Gibbins, Jon; Chalmers, Hannah
- Energy Policy, Vol. 36, Issue 12
Automatic generation of force fields and property surfaces for use in variational vibrational calculations of anharmonic vibrational energies and zero-point vibrational averaged properties
journal, September 2006
- Kongsted, Jacob; Christiansen, Ove
- The Journal of Chemical Physics, Vol. 125, Issue 12
A Multireference Quantum Krylov Algorithm for Strongly Correlated Electrons
journal, February 2020
- Stair, Nicholas H.; Huang, Renke; Evangelista, Francesco A.
- Journal of Chemical Theory and Computation, Vol. 16, Issue 4
Quantum Computing and Simulations for Energy Applications: Review and Perspective
journal, January 2022
- Paudel, Hari P.; Syamlal, Madhava; Crawford, Scott E.
- ACS Engineering Au, Vol. 2, Issue 3
The Variational Quantum Eigensolver: A review of methods and best practices
journal, November 2022
- Tilly, Jules; Chen, Hongxiang; Cao, Shuxiang
- Physics Reports, Vol. 986
Error Mitigation for Short-Depth Quantum Circuits
journal, November 2017
- Temme, Kristan; Bravyi, Sergey; Gambetta, Jay M.
- Physical Review Letters, Vol. 119, Issue 18
Self‐Consistent Molecular Orbital Methods. IV. Use of Gaussian Expansions of Slater‐Type Orbitals. Extension to Second‐Row Molecules
journal, March 1970
- Hehre, W. J.; Ditchfield, R.; Stewart, R. F.
- The Journal of Chemical Physics, Vol. 52, Issue 5
A variational eigenvalue solver on a photonic quantum processor
journal, July 2014
- Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter
- Nature Communications, Vol. 5, Issue 1
Modeling vibrational anharmonicity in infrared spectra of high frequency vibrations of polyatomic molecules
journal, March 2019
- Sibert, Edwin L.
- The Journal of Chemical Physics, Vol. 150, Issue 9
Quantum Algorithm for Calculating Molecular Vibronic Spectra
journal, June 2019
- Sawaya, Nicolas P. D.; Huh, Joonsuk
- The Journal of Physical Chemistry Letters, Vol. 10, Issue 13
A second quantization formulation of multimode dynamics
journal, February 2004
- Christiansen, Ove
- The Journal of Chemical Physics, Vol. 120, Issue 5
Variational Quantum Computation of Excited States
journal, July 2019
- Higgott, Oscar; Wang, Daochen; Brierley, Stephen
- Quantum, Vol. 3
Calculation of vibrational eigenenergies on a quantum computer: Application to the Fermi resonance in
CO 2
journal, June 2021
- Lötstedt, Erik; Yamanouchi, Kaoru; Tsuchiya, Takashi
- Physical Review A, Vol. 103, Issue 6
Rotational–vibrational resonance states
journal, January 2020
- Császár, Attila G.; Simkó, Irén; Szidarovszky, Tamás
- Physical Chemistry Chemical Physics, Vol. 22, Issue 27
Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise
journal, September 2021
- Barron, George S.; Gard, Bryan T.; Altman, Orien J.
- Physical Review Applied, Vol. 16, Issue 3
Anharmonic quantum nuclear densities from full dimensional vibrational eigenfunctions with application to protonated glycine
journal, August 2020
- Aieta, Chiara; Micciarelli, Marco; Bertaina, Gianluca
- Nature Communications, Vol. 11, Issue 1
Variational Quantum-Neural Hybrid Eigensolver
journal, March 2022
- Zhang, Shi-Xin; Wan, Zhou-Quan; Lee, Chee-Kong
- Physical Review Letters, Vol. 128, Issue 12
Libcint: An efficient general integral library for Gaussian basis functions
journal, June 2015
- Sun, Qiming
- Journal of Computational Chemistry, Vol. 36, Issue 22
A climbing image nudged elastic band method for finding saddle points and minimum energy paths
journal, December 2000
- Henkelman, Graeme; Uberuaga, Blas P.; Jónsson, Hannes
- The Journal of Chemical Physics, Vol. 113, Issue 22, p. 9901-9904
Sums and Densities of Fully Coupled Anharmonic Vibrational States: A Comparison of Three Practical Methods
journal, February 2010
- Nguyen, Thanh Lam; Barker, John R.
- The Journal of Physical Chemistry A, Vol. 114, Issue 10
Exploring the effect of anharmonicity of molecular vibrations on thermodynamic properties
journal, December 2006
- Njegic, Bosiljka; Gordon, Mark S.
- The Journal of Chemical Physics, Vol. 125, Issue 22
Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor
journal, October 2020
- Ollitrault, Pauline J.; Kandala, Abhinav; Chen, Chun-Fu
- Physical Review Research, Vol. 2, Issue 4
The fourth age of quantum chemistry: molecules in motion
journal, January 2012
- Császár, Attila G.; Fábri, Csaba; Szidarovszky, Tamás
- Phys. Chem. Chem. Phys., Vol. 14, Issue 3
Conditioning of quasi-Newton methods for function minimization
journal, September 1970
- Shanno, D. F.
- Mathematics of Computation, Vol. 24, Issue 111
Resource-efficient digital quantum simulation of d-level systems for photonic, vibrational, and spin-s Hamiltonians
journal, June 2020
- Sawaya, Nicolas P. D.; Menke, Tim; Kyaw, Thi Ha
- npj Quantum Information, Vol. 6, Issue 1
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
journal, September 2017
- Kandala, Abhinav; Mezzacapo, Antonio; Temme, Kristan
- Nature, Vol. 549, Issue 7671
Near- and long-term quantum algorithmic approaches for vibrational spectroscopy
journal, December 2021
- Sawaya, Nicolas P. D.; Paesani, Francesco; Tabor, Daniel P.
- Physical Review A, Vol. 104, Issue 6
Amine Scrubbing for CO2 Capture
journal, September 2009
- Rochelle, G. T.
- Science, Vol. 325, Issue 5948
Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator
journal, July 2018
- Hempel, Cornelius; Maier, Christine; Romero, Jonathan
- Physical Review X, Vol. 8, Issue 3
Progress toward larger molecular simulation on a quantum computer: Simulating a system with up to 28 qubits accelerated by point-group symmetry
journal, June 2022
- Cao, Changsu; Hu, Jiaqi; Zhang, Wengang
- Physical Review A, Vol. 105, Issue 6