Noisy Monitored Quantum Circuits

• URL: http://arxiv.org/abs/2512.18783v1
• Date: Sun, 21 Dec 2025 15:55:12 GMT
• Title: Noisy Monitored Quantum Circuits
• Authors: Shuo Liu, Shao-Kai Jian, Shi-Xin Zhang,
• Abstract summary: Noisy monitored quantum circuits have emerged as a versatile and unifying framework connecting quantum many-body physics, quantum information, and quantum computation.<n>A central theme is the mapping to classical statistical models, which reveals how quantum noise reshapes dominant spin configurations.<n>We highlight a broad range of constructions and applications inspired by noisy monitored circuits, spanning variational quantum algorithms, classical simulation methods, mixed-state phases of matter, and emerging approaches to quantum error mitigation and quantum error correction.
• Score: 2.903954725384182
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Noisy monitored quantum circuits have emerged as a versatile and unifying framework connecting quantum many-body physics, quantum information, and quantum computation. In this review, we provide a comprehensive overview of recent advances in understanding the dynamics of such circuits, with an emphasis on their entanglement structure, information-protection capabilities, and noise-induced phase transitions. A central theme is the mapping to classical statistical models, which reveals how quantum noise reshapes dominant spin configurations. This framework elucidates universal scaling behaviors, including the characteristic $q^{-1/3}$ entanglement scaling with noise probability $q$ and distinct timescales for information protection. We further highlight a broad range of constructions and applications inspired by noisy monitored circuits, spanning variational quantum algorithms, classical simulation methods, mixed-state phases of matter, and emerging approaches to quantum error mitigation and quantum error correction. These developments collectively establish noisy monitored circuits as a powerful platform for probing and controlling quantum dynamics in realistic, decohering environments.

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