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.

19 pages, 6 pdf figures. Matches published version

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• Quantum random access memory
• Synthesis of Quantum Logic Circuits
• VBFNLO: A parton level Monte Carlo for processes with electroweak bosons
• Determining the proton content with a quantum computer
• Squark Production and Decay matched with Parton Showers at NLO
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Cited by in corpus (3)

• Conditional Born machine for Monte Carlo event generation
• Optimization of the Memory Reset Rate of a Quantum Echo-State Network for Time Sequential Tasks
• IBM quantum platforms: a quantum battery perspective