Towards Perturbation Theory Methods on a Quantum Computer
- URL: http://arxiv.org/abs/2206.14955v2
- Date: Sun, 14 May 2023 10:10:38 GMT
- Title: Towards Perturbation Theory Methods on a Quantum Computer
- Authors: Junxu Li, Barbara A. Jones and Sabre Kais
- Abstract summary: We present a quantum circuit estimating both the energy and eigenstates corrections with PT methods.
Our work offers a new approach to studying complex systems with quantum devices.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Perturbation theory (PT) might be one of the most powerful and fruitful tools
for both physicists and chemists, which evoked an explosion of applications
with the blooming of atomic and subatomic physics. Even though PT is well-used
today, techniques for PT are significantly lacking in quantum computing. Here
we present a quantum circuit estimating both the energy and eigenstates
corrections with PT methods, which we claim is far superior to the classical
version when estimating the second order energy correction. Our approach is
further demonstrated with an application on the extended Hubbard model, where
numerical simulation based on qiskit is also presented. Unlike the popular
quantum variational circuit, there is no training or optimizing process in our
circuit, and all parameters are derived from the unperturbed Hamiltonian. Our
work offers a new approach to studying complex systems with quantum devices,
which might shed light on the quantum implementation of the more intricate
methods based on PT.
Related papers
- Quantum Equilibrium Propagation for efficient training of quantum systems based on Onsager reciprocity [0.0]
Equilibrium propagation (EP) is a procedure that has been introduced and applied to classical energy-based models which relax to an equilibrium.
Here, we show a direct connection between EP and Onsager reciprocity and exploit this to derive a quantum version of EP.
This can be used to optimize loss functions that depend on the expectation values of observables of an arbitrary quantum system.
arXiv Detail & Related papers (2024-06-10T17:22:09Z) - Quantum Circuit for High Order Perturbation Theory Corrections [6.332830866018584]
Perturbation theory (PT) might be one of the most powerful and fruitful tools for both physicists and chemists.
Advances in quantum computing provide opportunities for alternatives to classical methods.
A general quantum circuit estimating the low order PT corrections has been proposed.
arXiv Detail & Related papers (2024-04-08T03:05:37Z) - QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum
Circuits [82.50620782471485]
QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits.
It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness.
Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
arXiv Detail & Related papers (2024-01-10T22:33:00Z) - Quantum-classical simulation of quantum field theory by quantum circuit
learning [0.0]
We employ quantum circuit learning to simulate quantum field theories (QFTs)
We find that our predictions closely align with the results of rigorous classical calculations.
This hybrid quantum-classical approach illustrates the feasibility of efficiently simulating large-scale QFTs on cutting-edge quantum devices.
arXiv Detail & Related papers (2023-11-27T20:18:39Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Recompilation-enhanced simulation of electron-phonon dynamics on IBM
Quantum computers [62.997667081978825]
We consider the absolute resource cost for gate-based quantum simulation of small electron-phonon systems.
We perform experiments on IBM quantum hardware for both weak and strong electron-phonon coupling.
Despite significant device noise, through the use of approximate circuit recompilation we obtain electron-phonon dynamics on current quantum computers comparable to exact diagonalisation.
arXiv Detail & Related papers (2022-02-16T19:00:00Z) - Model-Independent Error Mitigation in Parametric Quantum Circuits and
Depolarizing Projection of Quantum Noise [1.5162649964542718]
Finding ground states and low-lying excitations of a given Hamiltonian is one of the most important problems in many fields of physics.
quantum computing on Noisy Intermediate-Scale Quantum (NISQ) devices offers the prospect to efficiently perform such computations.
Current quantum devices still suffer from inherent quantum noise.
arXiv Detail & Related papers (2021-11-30T16:08:01Z) - Towards Quantum Simulations in Particle Physics and Beyond on Noisy
Intermediate-Scale Quantum Devices [1.7242431149740054]
We review two algorithmic advances that bring us closer to reliable quantum simulations of model systems in high energy physics.
The first method is the dimensional expressivity analysis of quantum circuits, which allows for constructing minimal but maximally expressive quantum circuits.
The second method is an efficient mitigation of readout errors on quantum devices.
arXiv Detail & Related papers (2021-10-07T22:13:37Z) - Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems.
We propose an algorithm to implement imaginary time propagation on a quantum computer.
arXiv Detail & Related papers (2021-02-24T12:48:00Z) - Engineering analog quantum chemistry Hamiltonians using cold atoms in
optical lattices [69.50862982117127]
We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups.
We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
arXiv Detail & Related papers (2020-11-28T11:23:06Z) - Simulation of Thermal Relaxation in Spin Chemistry Systems on a Quantum
Computer Using Inherent Qubit Decoherence [53.20999552522241]
We seek to take advantage of qubit decoherence as a resource in simulating the behavior of real world quantum systems.
We present three methods for implementing the thermal relaxation.
We find excellent agreement between our results, experimental data, and the theoretical prediction.
arXiv Detail & Related papers (2020-01-03T11:48:11Z)
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.