Quantum integration of elementary particle processes

Tackling Feynman integrals with quantum minimization algorithms

“…One candidate is quantum computing, since it has shown a potential speed-up in database searching [17,18], factorization [19] and solving minimization/optimization problems [20]. In the context of high-energy physics, it has been applied to scattering amplitude calculations [21][22][23], jet clustering [24] and, very recently, to perform the causal reconstruction of scattering amplitudes within LTD [15,16]. In this article, we will briefly describe how to solve DAG detection with a quantum computer and exploit this information to bootstrap the causal LTD representation of multiloop multileg scattering amplitudes.…”

Quantum computing for data-centric engineering and science

“…For instance, Fourier QMCI is especially advantageous for numerical integrals that can be decomposed as a product of some , for which a suitable encoding can be prepared by a relatively shallow state preparation circuit (i.e., as described in equation 4); and some which can be extended as a piecewise periodic function whose Fourier series can be calculated and satisfies certain smoothness conditions. Areas in which computationally intensive numerical integrations are commonplace include computational fluid dynamics and high-energy physics—indeed, in the latter QMCI solutions have begun to be explored (Agliardi et al, 2022).…”

Quantum simulation of colour in perturbative quantum chromodynamics

“…While most of that exploration has focused on the experimental side of highenergy physics, the last few years have also seen the emergence of applications on various topics in high-energy theory. These range from parton distribution functions (PDFs) [28,29] to amplitudes [30][31][32][33][34], effective field theory [35], cross-section computations [25], parton showers [30,[36][37][38], and event generation [38][39][40].…”