Quantum Algorithms for Fermionic Quantum Field Theories

Abstract

Extending previous work on scalar field theories, we develop a quantum algorithm to compute relativistic scattering amplitudes in fermionic field theories, exemplified by the massive Gross- Neveu model, a theory in two spacetime dimensions with quartic interactions. The algorithm introduces new techniques to meet the additional challenges posed by the characteristics of fermionic fields, and its run time is polynomial in the desired precision and the energy. Thus, it constitutes further progress towards an efficient quantum algorithm for simulating the Standard Model of particle physics.

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Document Details

Document Type
Technical Report
Publication Date
Apr 28, 2014
Accession Number
ADA626672

Entities

People

  • John Preskill
  • Keith S. Lee
  • Stephen Jordan

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Adiabatic Processes
  • Algorithms
  • Amplitude
  • Computers
  • Particle Physics
  • Physical Theories
  • Physics
  • Quantum Algorithms
  • Quantum Chromodynamics
  • Quantum Circuits
  • Quantum Computers
  • Quantum Computing
  • Quantum Field Theory
  • Quantum Information
  • Quantum Information Science
  • Scattering
  • Standards

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Plasma Physics / Magnetohydrodynamics
  • Quantum Chemistry

Technology Areas

  • Quantum Computing