This paper investigates the quantum advantage in transportation tasks, comparing quantum and classical projectiles and rockets. It finds that ultrafast and ultraslow quantum states exist, exceeding or falling short of classical arrival probabilities. The maximum quantum advantage is linked to the Bracken-Melloy constant (Cbm), with bounds established as 0.0315 ≤ Cbm ≤ 0.072. A modified scenario, constraining initial position distribution, demonstrates a quantum advantage reaching 0.1262.
Publisher
npj Quantum Information
Published On
Jul 14, 2023
Authors
David Trillo, Thinh P. Le, Miguel Navascués
Tags
quantum advantage
transportation tasks
classical projectiles
Bracken-Melloy constant
quantum states
arrival probabilities
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