Towards a variational Jordan-Lee-Preskill quantum algorithm

• URL: http://arxiv.org/abs/2109.05547v1
• Date: Sun, 12 Sep 2021 16:04:44 GMT
• Title: Towards a variational Jordan-Lee-Preskill quantum algorithm
• Authors: Junyu Liu, Jinzhao Sun, Xiao Yuan
• Abstract summary: We formulate the theory of (time-dependent) variational quantum simulation, explicitly designed for quantum simulation of quantum field theory. We develop hybrid quantum-classical algorithms for crucial ingredients in particle scattering experiments, including encoding, state preparation, and time evolution.
• Score: 9.548089725859297
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Rapid developments of quantum information technology show promising opportunities for simulating quantum field theory in near-term quantum devices. In this work, we formulate the theory of (time-dependent) variational quantum simulation, explicitly designed for quantum simulation of quantum field theory. We develop hybrid quantum-classical algorithms for crucial ingredients in particle scattering experiments, including encoding, state preparation, and time evolution, with several numerical simulations to demonstrate our algorithms in the 1+1 dimensional $\lambda \phi^4$ quantum field theory. These algorithms could be understood as near-term analogs of the Jordan-Lee-Preskill algorithm, the basic algorithm for simulating quantum field theory using universal quantum devices. Our contribution also includes a bosonic version of the Unitary Coupled Cluster ansatz with physical interpretation in quantum field theory, a discussion about the subspace fidelity, a comparison among different bases in the 1+1 dimensional $\lambda \phi^4$ theory, and the "spectral crowding" in the quantum field theory simulation.

Related papers

• Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory [0.058331173224054456]
  We propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2+1 dimensions. We show that the non-semisimple theory introduces new anyon types that extend the Ising framework.
  arXiv  Detail & Related papers  (2024-10-18T21:03:07Z)
• 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)
• Bridging Classical and Quantum: Group-Theoretic Approach to Quantum Circuit Simulation [0.0]
  Efficiently simulating quantum circuits on classical computers is a fundamental challenge in quantum computing. This paper presents a novel theoretical approach that achieves exponential speedups (polynomial runtime) over existing simulators. The findings may have implications for quantum algorithm design, error correction, and the development of more efficient quantum simulators.
  arXiv  Detail & Related papers  (2024-07-28T20:02:21Z)
• 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)
• Review on Quantum Computing for Lattice Field Theory [0.0]
  Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte Carlo approach. First proof-of-concept quantum computations of lattice gauge theories in (1+1) dimensions have been accomplished. First resource-efficient quantum algorithms for lattice gauge theories in (1+1) and (2+1) dimensions have been developed.
  arXiv  Detail & Related papers  (2023-02-01T14:28:50Z)
• The Hintons in your Neural Network: a Quantum Field Theory View of Deep Learning [84.33745072274942]
  We show how to represent linear and non-linear layers as unitary quantum gates, and interpret the fundamental excitations of the quantum model as particles. On top of opening a new perspective and techniques for studying neural networks, the quantum formulation is well suited for optical quantum computing.
  arXiv  Detail & Related papers  (2021-03-08T17:24:29Z)
• 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 simulation of gauge theory via orbifold lattice [47.28069960496992]
  We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
  arXiv  Detail & Related papers  (2020-11-12T18:49:11Z)
• Light-Front Field Theory on Current Quantum Computers [0.06524460254566902]
  We present a quantum algorithm for simulation of quantum field theory in the light-front formulation. We demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics.
  arXiv  Detail & Related papers  (2020-09-16T18:32:00Z)
• Quantum simulation of quantum field theories as quantum chemistry [9.208624182273288]
  Conformal truncation is a powerful numerical method for solving generic strongly-coupled quantum field theories. We show that quantum computation could not only help us understand fundamental physics in the lattice approximation, but also simulate quantum field theory methods directly.
  arXiv  Detail & Related papers  (2020-04-28T01:20:04Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

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.