Weakly monitored quantum walks return to their start after about 1/η times as many measurements as strongly monitored walks, where η is the measurement coupling strength.
III, we will consider the first hitting time with weak measurements
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Quantum Walks: First Hitting Times with Weak Measurements
Weakly monitored quantum walks return to their start after about 1/η times as many measurements as strongly monitored walks, where η is the measurement coupling strength.