Author(s): Prashant Singh, David A. Kessler, and Eli Barkai We investigate the splitting probability of a monitored continuous-time quantum walk with two targets and show that, in stark contrast to a classical random walk, it exhibits a nonanalytic, phase-transition-like behavior controlled by the sampling time at the targets. For large systems and sampling … [Phys. Rev. Lett. 137, 090405] Published Fri Aug 28, 2026