Large scale multi-node simulations of $\mathbb{Z}_2$ gauge theory
quantum circuits using Google Cloud Platform
- URL: http://arxiv.org/abs/2110.07482v1
- Date: Thu, 14 Oct 2021 15:56:26 GMT
- Title: Large scale multi-node simulations of $\mathbb{Z}_2$ gauge theory
quantum circuits using Google Cloud Platform
- Authors: Erik Gustafson (1), Burt Holzman (1), James Kowalkowski (1), Henry
Lamm (1), Andy C. Y. Li (1), Gabriel Perdue (1), Sergio Boixo (2), Sergei
Isakov (2), Orion Martin (2), Ross Thomson (2), Catherine Vollgraff
Heidweiller (2), Jackson Beall (3), Martin Ganahl (3), Guifre Vidal (3), Evan
Peters (4) ((1) Fermi National Accelerator Laboratory, (2) Google Mountain
View, (3) Sandbox@Alphabet, (4) University of Waterloo Waterloo)
- Abstract summary: We present a large scale simulation study powered by a multi-node implementation of qsim using the Google Cloud Platform.
We demonstrate the use of high performance cloud computing for simulating $mathbbZ$ quantum field theories on system sizes up to 36 qubits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Simulating quantum field theories on a quantum computer is one of the most
exciting fundamental physics applications of quantum information science.
Dynamical time evolution of quantum fields is a challenge that is beyond the
capabilities of classical computing, but it can teach us important lessons
about the fundamental fabric of space and time. Whether we may answer
scientific questions of interest using near-term quantum computing hardware is
an open question that requires a detailed simulation study of quantum noise.
Here we present a large scale simulation study powered by a multi-node
implementation of qsim using the Google Cloud Platform. We additionally employ
newly-developed GPU capabilities in qsim and show how Tensor Processing Units
-- Application-specific Integrated Circuits (ASICs) specialized for Machine
Learning -- may be used to dramatically speed up the simulation of large
quantum circuits. We demonstrate the use of high performance cloud computing
for simulating $\mathbb{Z}_2$ quantum field theories on system sizes up to 36
qubits. We find this lattice size is not able to simulate our problem and
observable combination with sufficient accuracy, implying more challenging
observables of interest for this theory are likely beyond the reach of
classical computation using exact circuit simulation.
Related papers
- Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [63.733312560668274]
Given a quantum circuit containing d tunable RZ gates and G-d Clifford gates, can a learner perform purely classical inference to efficiently predict its linear properties?
We prove that the sample complexity scaling linearly in d is necessary and sufficient to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.
We devise a kernel-based learning model capable of trading off prediction error and computational complexity, transitioning from exponential to scaling in many practical settings.
arXiv Detail & Related papers (2024-08-22T08:21:28Z) - Quantum Algorithm for a Stochastic Multicloud Model [0.0]
A quantum computing algorithm was applied to a problem of the atmospheric science.
The nature of a multi-cloud model was reproduced by utilizing outputs of computed quantum states.
Our results demonstrate that quantum computers can suitably solve some problems in atmospheric and oceanic phenomena.
arXiv Detail & Related papers (2024-06-17T09:14:20Z) - Quantum Tunneling: From Theory to Error-Mitigated Quantum Simulation [49.1574468325115]
This study presents the theoretical background and the hardware aware circuit implementation of a quantum tunneling simulation.
We use error mitigation techniques (ZNE and REM) and multiprogramming of the quantum chip for solving the hardware under-utilization problem.
arXiv Detail & Related papers (2024-04-10T14:27:07Z) - 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) - Quantum Machine Learning: from physics to software engineering [58.720142291102135]
We show how classical machine learning approach can help improve the facilities of quantum computers.
We discuss how quantum algorithms and quantum computers may be useful for solving classical machine learning tasks.
arXiv Detail & Related papers (2023-01-04T23:37:45Z) - 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) - Variational Quantum Simulation of Chemical Dynamics with Quantum
Computers [23.13347792805101]
We present variational simulations of real-space quantum dynamics suitable for implementation in Noisy Intermediate-Scale Quantum (NISQ) devices.
Motivated by the insights that most chemical dynamics occur in the low energy subspace, we propose a subspace expansion method.
arXiv Detail & Related papers (2021-10-12T16:28:52Z) - An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian
Simulation [55.41644538483948]
Current generation noisy intermediate-scale quantum (NISQ) computers are severely limited in chip size and error rates.
We derive localized circuit transformations to efficiently compress quantum circuits for simulation of certain spin Hamiltonians known as free fermions.
The proposed numerical circuit compression algorithm behaves backward stable and scales cubically in the number of spins enabling circuit synthesis beyond $mathcalO(103)$ spins.
arXiv Detail & Related papers (2021-08-06T19:38:03Z) - Quantum Computing for Inflationary, Dark Energy and Dark Matter
Cosmology [1.1706540832106251]
Quantum computing is an emerging new method of computing which excels in simulating quantum systems.
We show how to apply the Variational Quantum Eigensolver (VQE) and Evolution of Hamiltonian (EOH) algorithms to solve the Wheeler-DeWitt equation.
We find excellent agreement with classical computing results and describe the accuracy of the different quantum algorithms.
arXiv Detail & Related papers (2021-05-28T14:04:11Z) - Doubling the size of quantum simulators by entanglement forging [2.309018557701645]
Quantum computers are promising for simulations of chemical and physical systems.
We present a method, classical entanglement forging, that harnesses classical resources to capture quantum correlations.
We compute the ground state energy of a water molecule in the most accurate simulation to date.
arXiv Detail & Related papers (2021-04-20T19:32:37Z) - Efficient Simulation of Loop Quantum Gravity -- A Scalable
Linear-Optical Approach [0.0]
A leading approach is Loop Quantum Gravity (LQG)
We design a linear-optical simulator such that the evolution of the optical quantum gates simulates the spinfoam amplitudes of LQG.
This work opens a new way to relate quantum gravity to quantum information and will expand our understanding of the theory.
arXiv Detail & Related papers (2020-03-06T20:04:20Z)
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.