Noise-induced phase transitions in hybrid quantum circuits

Noise-induced phase transitions in hybrid quantum circuits

(Dated: September 4, 2024) | Shuo Liu,1, Ming-Rui Li,1 Shi-Xin Zhang,2,* Shao-Kai Jian,3,† and Hong Yao1,‡
This paper investigates the impact of quantum noises on entanglement phase transitions in hybrid quantum circuits with local random unitaries and mid-circuit measurements. The authors explore the effects of quantum noises with size-dependent probabilities \( q = p/L^\alpha \), where \(\alpha\) is the scaling exponent. They identify a noise-induced entanglement phase transition from a volume law to an area law phase when \( p \) increases, depending on the value of \(\alpha\). For \(\alpha = 1\), the phase transition is first-order, arising from the competition between two types of spin configurations. This transition shares similarities with the noise-induced coding transition. When \(\alpha \neq 1\), one spin configuration dominates regardless of \( p \), leading to a single volume law or area law entanglement phase. The study also highlights the differences between bulk and boundary noises, showing that the noise-induced coding transition always exists for bulk noises but not for boundary noises. Numerical simulations validate these theoretical findings, demonstrating the noise-induced phase transitions and their critical behaviors. The results provide a deeper understanding of the connection between entanglement behavior and information protection in hybrid quantum circuits.This paper investigates the impact of quantum noises on entanglement phase transitions in hybrid quantum circuits with local random unitaries and mid-circuit measurements. The authors explore the effects of quantum noises with size-dependent probabilities \( q = p/L^\alpha \), where \(\alpha\) is the scaling exponent. They identify a noise-induced entanglement phase transition from a volume law to an area law phase when \( p \) increases, depending on the value of \(\alpha\). For \(\alpha = 1\), the phase transition is first-order, arising from the competition between two types of spin configurations. This transition shares similarities with the noise-induced coding transition. When \(\alpha \neq 1\), one spin configuration dominates regardless of \( p \), leading to a single volume law or area law entanglement phase. The study also highlights the differences between bulk and boundary noises, showing that the noise-induced coding transition always exists for bulk noises but not for boundary noises. Numerical simulations validate these theoretical findings, demonstrating the noise-induced phase transitions and their critical behaviors. The results provide a deeper understanding of the connection between entanglement behavior and information protection in hybrid quantum circuits.
Reach us at info@study.space
Understanding Noise-induced phase transitions in hybrid quantum circuits