Molecular electric dipole moments: from light to heavy molecules using a
relativistic VQE algorithm
- URL: http://arxiv.org/abs/2211.06907v2
- Date: Tue, 11 Apr 2023 16:54:59 GMT
- Title: Molecular electric dipole moments: from light to heavy molecules using a
relativistic VQE algorithm
- Authors: K. R. Swain, V. S. Prasannaa, Kenji Sugisaki, B. P. Das
- Abstract summary: We extend the VQE algorithm to the relativistic regime and carry out quantum simulations to obtain ground state energies.
We study the correlation trends in these systems as well as assess the precision in our results within our active space of 12 qubits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The quantum-classical hybrid Variational Quantum Eigensolver (VQE) algorithm
is recognized to be the most suitable approach to obtain ground state energies
of quantum many-body systems in the noisy intermediate scale quantum era. In
this work, we extend the VQE algorithm to the relativistic regime and carry out
quantum simulations to obtain ground state energies as well as molecular
permanent electric dipole moments of single-valence diatomic molecules,
beginning with the light BeH molecule and all the way to the heavy radioactive
RaH molecule. We study the correlation trends in these systems as well as
assess the precision in our results within our active space of 12 qubits.
Related papers
- Non-unitary Coupled Cluster Enabled by Mid-circuit Measurements on Quantum Computers [37.69303106863453]
We propose a state preparation method based on coupled cluster (CC) theory, which is a pillar of quantum chemistry on classical computers.
Our approach leads to a reduction of the classical computation overhead, and the number of CNOT and T gates by 28% and 57% on average.
arXiv Detail & Related papers (2024-06-17T14:10:10Z) - A Theory of Quantum Jumps [44.99833362998488]
We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field.
Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
arXiv Detail & Related papers (2024-04-16T11:00:46Z) - Simulating polaritonic ground states on noisy quantum devices [0.0]
We introduce a general framework for simulating electron-photon coupled systems on small, noisy quantum devices.
To achieve chemical accuracy, we exploit various symmetries in qubit reduction methods.
We measure two properties: ground-state energy, fundamentally relevant to chemical reactivity, and photon number.
arXiv Detail & Related papers (2023-10-03T14:45:54Z) - A hybrid quantum-classical algorithm for multichannel quantum scattering
of atoms and molecules [62.997667081978825]
We propose a hybrid quantum-classical algorithm for solving the Schr"odinger equation for atomic and molecular collisions.
The algorithm is based on the $S$-matrix version of the Kohn variational principle, which computes the fundamental scattering $S$-matrix.
We show how the algorithm could be scaled up to simulate collisions of large polyatomic molecules.
arXiv Detail & Related papers (2023-04-12T18:10:47Z) - Molecular Electronic Structure Calculation via a Quantum Computer [0.0]
Quantum computers can be used to calculate the electronic structure and estimate the ground state energy of many-electron molecular systems.
We implement the Variational Quantum Eigensolver (VQE) algorithm to calculate the ground state energy of molecules such as H3+, OH-, HF and BH3.
This work aims to benchmark the VQE algorithm to calculate the electronic ground state energy for a new set of molecules that can be good candidates for molecular simulation on a real quantum computer.
arXiv Detail & Related papers (2023-03-17T12:02:32Z) - Equation-of-motion variational quantum eigensolver method for computing
molecular excitation energies, ionization potentials, and electron affinities [4.21608910266125]
Near-term quantum computers are expected to facilitate material and chemical research through accurate molecular simulations.
We present an equation-of-motion-based method to compute excitation energies following the variational quantum eigensolver algorithm.
arXiv Detail & Related papers (2022-06-21T16:21:04Z) - A Quantum-compute Algorithm for Exact Laser-driven Electron Dynamics in
Molecules [0.0]
We simulate the laser-driven electron dynamics in small molecules such as lithium hydride.
Results are compared with the time-dependent full configuration interaction method (TD-FCI)
arXiv Detail & Related papers (2022-05-21T09:35:05Z) - Coarse grained intermolecular interactions on quantum processors [0.0]
We develop a coarse-grained representation of the electronic response that is ideally suited for determining the ground state of weakly interacting molecules.
We demonstrate our method on IBM superconducting quantum processors.
We conclude that current-generation quantum hardware is capable of probing energies in this weakly bound but nevertheless chemically ubiquitous and biologically important regime.
arXiv Detail & Related papers (2021-10-03T09:56:47Z) - Stochastic Variational Approach to Small Atoms and Molecules Coupled to
Quantum Field Modes [55.41644538483948]
We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED.
Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
arXiv Detail & Related papers (2021-08-25T13:40:42Z) - Computing molecular excited states on a D-Wave quantum annealer [52.5289706853773]
We demonstrate the use of a D-Wave quantum annealer for the calculation of excited electronic states of molecular systems.
These simulations play an important role in a number of areas, such as photovoltaics, semiconductor technology and nanoscience.
arXiv Detail & Related papers (2021-07-01T01:02:17Z) - Quantum-Classical Hybrid Algorithm for the Simulation of All-Electron
Correlation [58.720142291102135]
We present a novel hybrid-classical algorithm that computes a molecule's all-electron energy and properties on the classical computer.
We demonstrate the ability of the quantum-classical hybrid algorithms to achieve chemically relevant results and accuracy on currently available quantum computers.
arXiv Detail & Related papers (2021-06-22T18:00:00Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.