Ionization energies in lithium and boron atoms using the Variational
Quantum Eigensolver algorithm
- URL: http://arxiv.org/abs/2109.12583v1
- Date: Sun, 26 Sep 2021 12:28:40 GMT
- Title: Ionization energies in lithium and boron atoms using the Variational
Quantum Eigensolver algorithm
- Authors: Rene Villela, V. S. Prasannaa, and B. P. Das
- Abstract summary: The classical-quantum hybrid Variational Quantum Eigensolver algorithm is the most widely used approach in the Noisy Intermediate Scale Quantum era.
We extend the scope of properties that can be calculated using the algorithm by computing the first ionization energies of Lithium and Boron atoms.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The classical-quantum hybrid Variational Quantum Eigensolver algorithm is the
most widely used approach in the Noisy Intermediate Scale Quantum era to obtain
ground state energies of atomic and molecular systems. In this work, we extend
the scope of properties that can be calculated using the algorithm by computing
the first ionization energies of Lithium and Boron atoms. We check the
precision of our ionization energies and the observed many-body trends and
compare them with the results from calculations carried out on traditional
computers.
Related papers
- A quantum implementation of high-order power method for estimating geometric entanglement of pure states [39.58317527488534]
This work presents a quantum adaptation of the iterative higher-order power method for estimating the geometric measure of entanglement of multi-qubit pure states.
It is executable on current (hybrid) quantum hardware and does not depend on quantum memory.
We study the effect of noise on the algorithm using a simple theoretical model based on the standard depolarising channel.
arXiv Detail & Related papers (2024-05-29T14:40:24Z) - Full Band Structure Calculation of Semiconducting Materials on a Noisy Quantum Processor [2.6327434138210095]
We propose the Reduced Quantum Equation-of-Motion method to find the entire energy spectrum of a quantum system.
We analyse the performance of our method on two noise models and calculate the excitation energies of a bulk Silicon and Gallium Arsenide using our method on an IBM quantum processor.
arXiv Detail & Related papers (2024-05-15T06:35:39Z) - 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) - 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) - Calculation of the moscovium ground-state energy by quantum algorithms [0.0]
We investigate the possibility to calculate the ground-state energy of the atomic systems on a quantum computer.
We evaluate the lowest binding energy of the moscovium atom with the use of the iterative phase estimation and variational quantum eigensolver.
arXiv Detail & Related papers (2022-07-17T18:41:19Z) - Numerical Simulations of Noisy Quantum Circuits for Computational
Chemistry [51.827942608832025]
Near-term quantum computers can calculate the ground-state properties of small molecules.
We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
arXiv Detail & Related papers (2021-12-31T16:33:10Z) - A full circuit-based quantum algorithm for excited-states in quantum
chemistry [6.973166066636441]
We propose a non-variational full circuit-based quantum algorithm for obtaining the excited-state spectrum of a quantum chemistry Hamiltonian.
Compared with previous classical-quantum hybrid variational algorithms, our method eliminates the classical optimization process.
The algorithm can be widely applied to various Hamiltonian spectrum determination problems on the fault-tolerant quantum computers.
arXiv Detail & Related papers (2021-12-28T15:48:09Z) - 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) - Calculation of the ground-state Stark effect in small molecules using
the variational quantum eigensolver [0.0]
We study a quantum simulation for the hydrogen (H2) and lithium hydride (LiH) molecules, at an actual commercially available quantum computer, the IBM Q.
Using the Variational Quantum Eigensolver (VQE) method, we study the molecule's ground state energy versus interatomic distance, under the action of stationary electric fields.
arXiv Detail & Related papers (2021-03-22T11:49:42Z) - Benchmarking adaptive variational quantum eigensolvers [63.277656713454284]
We benchmark the accuracy of VQE and ADAPT-VQE to calculate the electronic ground states and potential energy curves.
We find both methods provide good estimates of the energy and ground state.
gradient-based optimization is more economical and delivers superior performance than analogous simulations carried out with gradient-frees.
arXiv Detail & Related papers (2020-11-02T19:52:04Z) - Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular
Simulations on Quantum Computing Devices [0.0]
We introduce a quantum solver of contracted eigenvalue equations, the quantum analogue of classical methods for the energies.
We demonstrate the algorithm though computations on both a quantum simulator and two IBM quantum processing units.
arXiv Detail & Related papers (2020-04-23T18:35:26Z)
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.