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Simulating Collider Physics on Quantum Computers Using Effective Field Theories.

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Area of Science:

  • Quantum Computing
  • Particle Physics
  • Quantum Field Theory

Background:

  • Simulating quantum field theories (QFTs) across all energy scales demands significant quantum computing power.
  • Perturbative techniques are effective for high-energy regimes but limited at lower energies.
  • Effective field theories (EFTs) offer a way to isolate low-energy dynamics.

Purpose of the Study:

  • To demonstrate the use of EFTs for separating high-energy and low-energy dynamics in QFT.
  • To show how quantum algorithms can simulate the low-energy EFT from first principles.
  • To apply these methods to calculate specific transition amplitudes in scalar field theory.

Main Methods:

  • Utilized effective field theories (EFTs) to partition energy scales.
  • Developed and applied quantum algorithms for simulating low-energy EFT dynamics.
  • Performed calculations using both quantum computer simulations and actual quantum hardware (IBMQ Manhattan).

Main Results:

  • Successfully demonstrated an efficient method for simulating low-energy EFT dynamics using quantum algorithms.
  • Calculated expectation values for vacuum-to-vacuum and vacuum-to-one-particle transitions.
  • The results are relevant to EFTs used in the Standard Model of particle physics.

Conclusions:

  • EFTs combined with quantum computation provide an efficient pathway to study QFT dynamics at low energies.
  • This hybrid approach can overcome limitations of traditional perturbative methods.
  • The methodology is validated through explicit calculations on quantum hardware.