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

Abstract: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.

25 pages,12 figures. Revised version: updated to include new results shown in Fig3,4,5,8

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2604.25640 [quant-ph]

(or arXiv:2604.25640v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2604.25640 Focus to learn more arXiv-issued DOI via DataCite

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