Real-Time Scattering Processes with Continuous-Variable Quantum Computers

TL;DR

This paper presents a novel framework for simulating real-time quantum field dynamics using continuous-variable quantum computers, focusing on scalar field theories and demonstrating scalability and validation through correlation functions and scattering simulations.

Contribution

It introduces a CVQC-based method for simulating quantum field theories, including state preparation, evolution, and measurement, with a focus on non-Gaussian operations and scalability.

Findings

Validated the framework with analytical solutions for two-point functions

Simulated scattering processes showing effects of mass and coupling

Demonstrated potential scalability to larger lattice systems

Abstract

We propose a framework for simulating the real-time dynamics of quantum field theories (QFTs) using continuous-variable quantum computing (CVQC). Focusing on ($1+1$)-dimensional $\varphi^4$ scalar field theory, the approach employs the Hamiltonian formalism to map the theory onto a spatial lattice, with fields represented as quantum harmonic oscillators. Using measurement-based quantum computing, we implement non-Gaussian operations for CQVC platforms. The study introduces methods for preparing initial states with specific momenta and simulating their evolution under the $\varphi^4$ Hamiltonian. Key quantum objects, such as two-point correlation functions, validate the framework against analytical solutions. Scattering simulations further illustrate how mass and coupling strength influence field dynamics and energy redistribution. Thus, we demonstrate CVQC's scalability for larger lattice systems and its potential for simulating more complex field theories.