Continuous Reset-Induced Phase Transition in Measurement-Free Random Quantum Circuits

We study a random unitary quantum circuit with only reset channels, which has high feasibility for real quantum devices. In particular, we investigate the many-body statistical physics properties, ``reset-induced'' entanglement phase transitions comparing the classical statistical picture in the large `` d '' limit of qudits. In the property of the reset-induced phase transition the parameter of qudit d is essential. That is, the transition properties induced by the reset channel significantly depend on d. We numerically elucidate this statement employing efficient stabilizer circuit simulations for d=2. Specifically, critical fluctuations that grow with system size are observed near the transition point, and the finite-size scaling analyses yield data collapse consistent with a continuous mixed-state phase transition. This behavior differs from expectations based on the classical statistical mapping in the large- d limit.