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

TL;DR

This paper investigates a reset-only random quantum circuit, revealing a continuous, second-order phase transition influenced by qudit dimension, with numerical evidence from stabilizer simulations for qubits.

Contribution

It introduces the study of reset-induced phase transitions in measurement-free quantum circuits, highlighting the dependence on qudit dimension and providing numerical evidence of a continuous transition.

Findings

Reset-induced phase transition is continuous and second-order.

Large fluctuations observed near the critical point.

Transition behavior differs from classical statistical predictions at large d.

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, large fluctuations are observed near the critical point, indicating that the reset-induced phase transition is continuous. We obtain clear data collapses, consistent with a second-order mixed phase transition. This behavior differs from expectations based on the classical statistical mapping in the large-$d$ limit.