Researchers Link Geometry to Parrondo’s Paradox in Quantum Walks

A geometric criterion predicts when Parrondo’s paradox will occur in minimal quantum walks without extensive simulations or calculations. The approach centres on the ‘transport vector,’ describing how an initial coin state directs long-term movement within the walk and its relationship to individual strategy vectors determines paradoxical behaviour. A geometric principle predicts that combining two unsuccessful quantum processes unexpectedly results in overall success, this is known as Parrondo’s paradox. The direction an initial ‘coin state’ takes within a quantum walk is key to understanding this behaviour; it’s a fundamental component of these systems. This new approach…