Some Results From HEP ML/Optimization Go Quantum
Prasanth Shyamsundar Ā· 2024
Grover's Algorithm amplifies the amplitude of "good" states, as judged by an oracle.š š | Ū§ š„ = -1 š(š„) | Ū§ š„ .What if goodness is on a non-Boolean scale?š š | Ū§ š„ = š šš š„ | Ū§ š„ , where cos š(š„) signifies goodness (lower is better).Grover's algorithm will fail.But non-Boolean amplitude amplification will work!Background: Data analysis at HEP colliders proceeds via the comparison of real experimental data to data simulated under various theory models.One of the stages of the simulation pipeline is the confinement of colored partons into colorless particles.Color reconnection is a heuristic idea used in the modeling of this confinement.Quantum circuit for the non-Boolean Amplitude Amplification Algorithm Measurement probabilities of states | Ū§ š , ā¦, | Ū§ ššš after K=1, 2, and 3 iterations of non-Boolean amplification, for š š = š ššš š š .Lower values of cos š(š) have been preferentially amplified.