Protect Measurement-Induced Phase Transition from Noise

• URL: http://arxiv.org/abs/2406.14109v3
• Date: Wed, 18 Dec 2024 06:14:58 GMT
• Title: Protect Measurement-Induced Phase Transition from Noise
• Authors: Dongheng Qian, Jing Wang,
• Abstract summary: We show that incorporating quantum-enhanced operations can effectively protect the measurement-induced phase transition (MIPT) from environmental noise. We also provide numerical results demonstrate the MIPT in a (2+1)-dimensional quantum circuit under dephasing noise.
• Score: 3.134848671499466
• License:
• Abstract: Scrambling dynamics induced by random unitary gates can protect information from low-rate measurements, which underpins the phenomenon known as the measurement-induced phase transition (MIPT). However, typical decoherence noises disrupts the volume law phase, complicating the observation of MIPT on noisy intermediate-scale quantum devices. Here, we demonstrate that incorporating quantum-enhanced operations can effectively protect MIPT from environmental noise, thereby enabling its detection in experiment. The transition is characterized by the conditional entanglement entropy (CEE), which is associated with a statistical mechanics model wherein noise and quantum-enhanced operations act as competing external random fields. When the net external field is zero, a ferromagnetic-paramagnetic phase transition is expected, resulting in the MIPT. This zero-field condition also ensures an average apparatus-environment symmetry, making CEE a valid probe of entanglement and establishing the transition as a genuine entanglement phase transition. Additionally, we provide numerical results demonstrate the MIPT in a (2+1)-dimensional quantum circuit under dephasing noise. We also propose a method to estimate the noise rate, enabling the zero-field condition to be achieved experimentally and ensuring the feasibility of our protocol. Our result serves as a concrete example of the power of quantum enhancement in combating noise.

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