Towards a Quantum Computing Algorithm for Helicity Amplitudes and Parton Showers
arXiv:2010.00046 · doi:10.1103/PhysRevD.103.076020
Abstract
The interpretation of measurements of high-energy particle collisions relies heavily on the performance of full event generators. By far the largest amount of time to predict the kinematics of multi-particle final states is dedicated to the calculation of the hard process and the subsequent parton shower step. With the continuous improvement of quantum devices, dedicated algorithms are needed to exploit the potential quantum computers can provide. We propose general and extendable algorithms for quantum gate computers to facilitate calculations of helicity amplitudes and the parton shower process. The helicity amplitude calculation exploits the equivalence between spinors and qubits and the unique features of a quantum computer to compute the helicities of each particle involved simultaneously, thus fully utilising the quantum nature of the computation. This advantage over classical computers is further exploited by the simultaneous computation of s and t-channel amplitudes for a 22 process. The parton shower algorithm simulates collinear emission for a two-step, discrete parton shower. In contrast to classical implementations, the quantum algorithm constructs a wavefunction with a superposition of all shower histories for the whole parton shower process, thus removing the need to explicitly keep track of individual shower histories. Both algorithms utilise the quantum computer's ability to remain in a quantum state throughout the computation and represent a first step towards a quantum computing algorithm to describe the full collision event at the LHC.
arXiv comment31 pages, 15 figures
References in corpus (37)
- An Introduction to PYTHIA 8.2
- Herwig++ Physics and Manual
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- QCD Matrix Elements + Parton Showers
- MHV Vertices And Tree Amplitudes In Gauge Theory
- General-purpose event generators for LHC physics
- SHERPA 1.alpha, a proof-of-concept version
- Correcting the Colour-Dipole Cascade Model with Fixed Order Matrix Elements
- Multijet matrix elements and shower evolution in hadronic collisions: W b bbar + n jets as a case study
- The midpoint between dipole and parton showers
- Gluon Field Digitization for Quantum Computers
- A quantum algorithm for high energy physics simulations
- Simulation of Nonequilibrium Dynamics on a Quantum Computer
- S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
- Parton Physics on a Quantum Computer
- BQP-completeness of Scattering in Scalar Quantum Field Theory
- Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
- Quantum Algorithms for Jet Clustering
- Sigma models on quantum computers
- Finding physics signals with event deconstruction
- Quantum Algorithms for Fermionic Quantum Field Theories
- Simulation of Atmospheric Muon and Neutrino Fluxes with CORSIKA
- Demonstration of quantum volume 64 on a superconducting quantum computing system
- Quantum Computing for Quantum Tunnelling
- The Dirac equation as a quantum walk over the honeycomb and triangular lattices
- Electromagnetic lattice gauge invariance in two-dimensional discrete-time quantum walks
- A Course in Amplitudes
- Helicity Antenna Showers for Hadron Colliders
- Combining states without scale hierarchies with ordered parton showers
- Suppressing Coherent Gauge Drift in Quantum Simulations
- Quantum Simulation of Field Theories Without State Preparation
- Dirac quantum walks on triangular and honeycomb lattices
- Observing the fate of the false vacuum with a quantum laboratory
- Site-by-site quantum state preparation algorithm for preparing vacua of fermionic lattice field theories
- A Quantum Algorithm for Model-Independent Searches for New Physics
- Constraining strongly coupled new physics from cosmic rays with machine learning techniques
- A quantum walk with both a continuous-time and a continuous-spacetime limit
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- Equivariant Quantum Neural Networks: Benchmarking against Classical Neural Networks
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- A general approach to quantum integration of cross sections in high-energy physics
- Jet evolution in a quantum computer: quark and gluon dynamics