Towards Cosmological Simulations of Dark Matter on Quantum Computers

• URL: http://arxiv.org/abs/2101.05821v2
• Date: Fri, 5 Feb 2021 18:23:00 GMT
• Title: Towards Cosmological Simulations of Dark Matter on Quantum Computers
• Authors: Philip Mocz (Princeton), Aaron Szasz (Perimeter Institute)
• Abstract summary: Quantum computers can perform some calculations exponentially faster than classical computers. Quantum circuits act linearly on quantum states, so nonlinearities (e.g. self-gravity in cosmological simulations) pose a significant challenge. Here we outline one potential approach to overcome this challenge and solve the (nonlinear) Schrodinger-Poisson equations for the evolution of self-gravitating dark matter.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: State-of-the-art cosmological simulations on classical computers are limited by time, energy, and memory usage. Quantum computers can perform some calculations exponentially faster than classical computers, using exponentially less energy and memory, and may enable extremely large simulations that accurately capture the whole dynamic range of structure in the Universe within statistically representative cosmic volumes. However, not all computational tasks exhibit a `quantum advantage'. Quantum circuits act linearly on quantum states, so nonlinearities (e.g. self-gravity in cosmological simulations) pose a significant challenge. Here we outline one potential approach to overcome this challenge and solve the (nonlinear) Schrodinger-Poisson equations for the evolution of self-gravitating dark matter, based on a hybrid quantum-classical variational algorithm framework (Lubasch 2020). We demonstrate the method with a proof-of-concept mock quantum simulation, envisioning a future where quantum computers will one day lead simulations of dark matter.

Related papers

• Programmable quantum simulations on a trapped-ions quantum computer with a global drive [0.0]
  We experimentally demonstrate a method for quantum simulations on a small-scale trapped ions-based quantum computer. We measure the evolution of a quantum Ising ring and accurately reconstruct the Hamiltonian parameters, showcasing an accurate and high-fidelity simulation.
  arXiv  Detail & Related papers  (2023-08-30T13:49:05Z)
• 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)
• 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)
• 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)
• Quantum walk processes in quantum devices [55.41644538483948]
  We study how to represent quantum walk on a graph as a quantum circuit. Our approach paves way for the efficient implementation of quantum walks algorithms on quantum computers.
  arXiv  Detail & Related papers  (2020-12-28T18:04:16Z)
• Digital Quantum Simulation of Non-Equilibrium Quantum Many-Body Systems [0.0]
  Digital quantum simulation uses the capabilities of quantum computers to determine the dynamics of quantum systems. Here we use the IBM quantum computers to simulate the non-equilibrium dynamics of few spin and fermionic systems.
  arXiv  Detail & Related papers  (2020-09-15T22:29:04Z)
• 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)
• Quantum algorithms for quantum chemistry and quantum materials science [2.867517731896504]
  We briefly describe central problems in chemistry and materials science, in areas of electronic structure, quantum statistical mechanics, and quantum dynamics, that are of potential interest for solution on a quantum computer. We take a detailed snapshot of current progress in quantum algorithms for ground-state, dynamics, and thermal state simulation, and analyze their strengths and weaknesses for future developments.
  arXiv  Detail & Related papers  (2020-01-10T22:49:56Z)

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.