Molecular Structure Optimization based on Electrons-Nuclei Quantum
Dynamics Computation
- URL: http://arxiv.org/abs/2107.06631v3
- Date: Sat, 7 Aug 2021 13:28:04 GMT
- Title: Molecular Structure Optimization based on Electrons-Nuclei Quantum
Dynamics Computation
- Authors: Hirotoshi Hirai, Takahiro Horiba, Soichi Shirai, Keita Kanno, Keita
Arimitsu, Yuya O. Nakagawa and Sho Koh
- Abstract summary: A new concept of the molecular structure optimization method is presented.
The many-body wave function of the system is optimized by the imaginary time evolution method.
This method is considered to be suitable for quantum computers, the development of which will realize its application as a powerful method.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A new concept of the molecular structure optimization method based on quantum
dynamics computations is presented. Nuclei are treated as quantum mechanical
particles, as are electrons, and the many-body wave function of the system is
optimized by the imaginary time evolution method. A demonstration with a
2-dimensional H$^+_2$ molecule shows that the optimized nuclear positions can
be specified with a small number of observations. This method is considered to
be suitable for quantum computers, the development of which will realize its
application as a powerful method.
Related papers
- Fast-forwarding molecular ground state preparation with optimal control
on analog quantum simulators [0.0]
We show that optimal control of the electron dynamics is able to prepare molecular ground states, within chemical accuracy.
We propose a specific parameterization of the molecular evolution only in terms of interaction already present in the molecular Hamiltonian.
arXiv Detail & Related papers (2024-02-18T18:05:36Z) - A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
Mixed Weyl symbol is used to describe brain processes at the microscopic level.
Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically.
Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
arXiv Detail & Related papers (2023-01-17T15:16:21Z) - Exhaustive search for optimal molecular geometries using imaginary-time
evolution on a quantum computer [0.0]
We propose a nonvariational scheme for geometry optimization of molecules for the first-quantized eigensolver.
We encode both electronic states and candidate molecular geometries as a superposition of many-qubit states.
We show that the circuit depth scales as O (n_e2 poly(log n_e)) for the electron number n_e, which can be reduced to O (n_e poly(log n_e)) if extra O (n_e log n_e) qubits are available.
arXiv Detail & Related papers (2022-10-18T14:18:20Z) - 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) - Counteracting dephasing in Molecular Nanomagnets by optimized qudit
encodings [60.1389381016626]
Molecular Nanomagnets may enable the implementation of qudit-based quantum error-correction codes.
A microscopic understanding of the errors corrupting the quantum information encoded in a molecular qudit is essential.
arXiv Detail & Related papers (2021-03-16T19:21:42Z) - 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) - Sparse-Hamiltonian approach to the time evolution of molecules on
quantum computers [0.0]
We explore the possibility of mapping the molecular problem onto a sparse Hubbard-like Hamiltonian.
This allows a Green's-function-based approach to electronic structure via a hybrid quantum-classical algorithm.
arXiv Detail & Related papers (2020-09-26T20:32:06Z) - Microcanonical and finite temperature ab initio molecular dynamics
simulations on quantum computers [0.0]
Ab initio molecular dynamics (AIMD) is a powerful tool to predict properties of molecular and condensed matter systems.
We provide solutions for the alleviation of the statistical noise associated to the measurements of the expectation values of energies and forces.
We also propose a Langevin dynamics algorithm for the simulation of canonical, i.e., constant temperature, dynamics.
arXiv Detail & Related papers (2020-08-18T20:24:27Z) - Quantum algorithm for alchemical optimization in material design [0.6116681488656472]
We propose a quantum algorithm for addressing the material design problem with a favourable scaling.
The quantum advantage resides in the efficient calculation of the electronic structure properties together with the sampling of the exponentially large chemical compound space.
Preliminary results can serve as a basis for the development of further material design quantum algorithms for near-term quantum computers.
arXiv Detail & Related papers (2020-08-14T16:24:30Z)
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.