Quantum simulation of molecular response properties
- URL: http://arxiv.org/abs/2301.06260v1
- Date: Mon, 16 Jan 2023 04:53:16 GMT
- Title: Quantum simulation of molecular response properties
- Authors: Ashutosh Kumar, Ayush Asthana, Vibin Abraham, T. Daniel Crawford,
Nicholas J. Mayhall, Yu Zhang, Lukasz Cincio, Sergei Tretiak, Pavel A. Dub
- Abstract summary: We develop a quantum linear response (qLR) theory to calculate molecular response properties on near-term quantum computers.
We show that response properties calculated using the qLR approach are more accurate than the ones obtained from the classical coupled-cluster based linear response models.
- Score: 4.520197015394451
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Accurate modeling of the response of molecular systems to an external
electromagnetic field is challenging on classical computers, especially in the
regime of strong electronic correlation. In this paper, we develop a quantum
linear response (qLR) theory to calculate molecular response properties on
near-term quantum computers. Inspired by the recently developed variants of the
quantum counterpart of equation of motion (qEOM) theory, the qLR formalism
employs "killer condition" satisfying excitation operator manifolds that offers
a number of theoretical advantages along with reduced quantum resource
requirements. We also used the qEOM framework in this work to calculate
state-specific response properties. Further, through noise-less quantum
simulations, we show that response properties calculated using the qLR approach
are more accurate than the ones obtained from the classical coupled-cluster
based linear response models due to the improved quality of the ground-state
wavefunction obtained using the ADAPT-VQE algorithm.
Related papers
- Accurate Chemical Reaction Modeling on Noisy Intermediate-Scale Quantum Computers Using a Noise-Resilient Wavefunction Ansatz [7.863050169969414]
The power of this protocol is demonstrated by numerical results for systems with up to tens of atoms.
Results represent an important step forward in realizing quantum utility in the NISQ era.
arXiv Detail & Related papers (2024-04-22T09:52:50Z) - Modeling Stochastic Chemical Kinetics on Quantum Computers [0.0]
We show how quantum algorithms can be employed to model chemical kinetics using the Schl"ogl Model of a trimolecular reaction network.
Our quantum computed results from both noisy and noiseless quantum simulations agree within a few percent with the classically computed eigenvalues and zeromode.
arXiv Detail & Related papers (2024-04-12T18:53:38Z) - Reaction dynamics with qubit-efficient momentum-space mapping [42.408991654684876]
We study quantum algorithms for response functions, relevant for describing different reactions governed by linear response.
We consider a qubit-efficient mapping on a lattice, which can be efficiently performed using momentum-space basis states.
arXiv Detail & Related papers (2024-03-30T00:21:46Z) - Which options exist for NISQ-friendly linear response formulations? [0.0]
We introduce a resource-efficient quantum linear response formulation (qLR) for near-term quantum computers.
Therein, we investigate eight different near-term qLR formalisms that utilize novel operator transformations.
We identify two promising candidates dubbed proj LRSD'' and all-proj LRSD''
arXiv Detail & Related papers (2023-12-21T15:30:53Z) - A linear response framework for simulating bosonic and fermionic
correlation functions illustrated on quantum computers [58.720142291102135]
Lehmann formalism for obtaining response functions in linear response has no direct link to experiment.
Within the context of quantum computing, we make the experiment an inextricable part of the quantum simulation.
We show that both bosonic and fermionic Green's functions can be obtained, and apply these ideas to the study of a charge-density-wave material.
arXiv Detail & Related papers (2023-02-20T19:01:02Z) - Variational Quantum Computation of Molecular Linear Response Properties
on a Superconducting Quantum Processor [20.69554086981598]
We introduce a pragmatic variational quantum response (VQR) algorithm for response properties, which circumvents the need for deep quantum circuits.
We report the first simulation of linear response properties of molecules including dynamic polarizabilities and absorption spectra on a superconducting quantum processor.
arXiv Detail & Related papers (2022-01-07T12:24:03Z) - 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) - 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) - Fixed Depth Hamiltonian Simulation via Cartan Decomposition [59.20417091220753]
We present a constructive algorithm for generating quantum circuits with time-independent depth.
We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model.
In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations.
arXiv Detail & Related papers (2021-04-01T19:06:00Z) - Error mitigation and quantum-assisted simulation in the error corrected
regime [77.34726150561087]
A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations.
We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
arXiv Detail & Related papers (2021-03-12T20:58:41Z) - 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)
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.