Quantum integration of elementary particle processes

Abstract

We apply quantum integration to elementary particle-physics processes. In particular, we look at scattering processes such as ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to q\bar{q}$ and ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to q{\bar{q}}^{\prime }\mathrm{W}$. The corresponding probability distributions can be first appropriately loaded on a quantum computer using either quantum Generative Adversarial Networks or an exact method. The distributions are then integrated sing the method of Quantum Amplitude Estimation which shows a quadratic speed-up with respect to classical techniques. In simulations of noiseless quantum computers, we obtain per-cent accurate results for one- and two-dimensional integration with up to six qubits. This work paves the way towards taking advantage of quantum algorithms for the integration of high-energy processes.

arXiv comment19 pages, 6 pdf figures. Matches published version

References in corpus (25)

• Variational Quantum Algorithms
• Quantum random access memory
• The effect of data encoding on the expressive power of variational quantum machine learning models
• Synthesis of Quantum Logic Circuits
• Quantum optimization using variational algorithms on near-term quantum devices
• VBFNLO: A parton level Monte Carlo for processes with electroweak bosons
• Quantum Risk Analysis
• Quantum computational finance: Monte Carlo pricing of financial derivatives
• RECOLA: REcursive Computation of One-Loop Amplitudes
• Electroweak radiative corrections to e+e- --> WW --> 4fermions in double-pole approximation -- the RACOONWW approach
• Option Pricing using Quantum Computers
• Challenges in Monte Carlo event generator software for High-Luminosity LHC
• Search for anomalous electroweak production of vector boson pairs in association with two jets in proton-proton collisions at 13 TeV
• Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations
• Quantum Algorithms for Jet Clustering
• Determining the proton content with a quantum computer
• Constraints on leptophilic dark matter from the AMS-02 experiment
• Towards a Quantum Computing Algorithm for Helicity Amplitudes and Parton Showers
• Higgs analysis with quantum classifiers
• Search for the electroweak diboson production in association with a high-mass dijet system in semileptonic final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Squark Production and Decay matched with Parton Showers at NLO
• Dual-Parameterized Quantum Circuit GAN Model in High Energy Physics
• Computational challenges for MC event generation
• Electroweak fragmentation functions for dark matter annihilation
• Quantum algorithm for the classification of Supersymmetric top quark events

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