Quantum computation of scattering amplitudes in scalar quantum electrodynamics

2017/09/30 by Kübra Yeter‐Aydeniz, Kübra Yeter-Aydeniz, George Siopsis · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Hamiltonian (control theory) #Mathematics #Parallel computing #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum computer #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scattering #Scattering amplitude #Speedup #quant-ph

paper · pdf · doi:10.1103/physrevd.97.036004

published in Physical review. D/Physical review. D. 97(3) (American Physical Society)

openalex created_date 2017/09/15 · arxiv created 2018/01/25 · openalex publication_date 2018/02/12 · arxiv updated 2018/02/21 · openalex updated_date 2026/08/05

Abstract

We present a quantum algorithm for the calculation of scattering amplitudes of massive charged scalar particles in scalar quantum electrodynamics. Our algorithm is based on continuous-variable quantum computing architecture resulting in exponential speedup over classical methods. We derive a simple form of the Hamiltonian including interactions and a straightforward implementation of the constraint due to gauge invariance.

Citations

• Quantum searching with continuous variables
• Gaussian quantum information
• Quantum key distribution using gaussian-modulated coherent states
• Experimental realization of a dynamic squeezing gate
• Squeezing as an irreducible resource
• Adiabatic theorem without a gap condition: Two-level system coupled to quantized radiation field
• Teleportation of quantum states
• Quantum simulation of quantum field theory using continuous variables
• A Continuous Variable Shor Algorithm

Cited by

• Single-particle digitization strategy for quantum computation of a ϕ4 scalar field theory