Protect Measurement-Induced Phase Transition from Noise

• URL: http://arxiv.org/abs/2406.14109v2
• Date: Mon, 15 Jul 2024 06:59:53 GMT
• Title: Protect Measurement-Induced Phase Transition from Noise
• Authors: Dongheng Qian, Jing Wang,
• Abstract summary: Measurement-induced phase transition (MIPT) is a novel non-equilibrium phase transition characterized by entanglement entropy. We show that incorporating quantum-enhanced operations can effectively protect MIPT from environmental noise.
• Score: 3.134848671499466
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Measurement-induced phase transition (MIPT) is a novel non-equilibrium phase transition characterized by entanglement entropy. The scrambling dynamics induced by random unitary gates can protect information from low-rate measurements. However, common decoherence noises, such as dephasing, are detrimental to the volume law phase, posing a significant challenge for observing MIPT in current noisy intermediate-scale quantum devices. Here, we demonstrate that incorporating quantum-enhanced operations can effectively protect MIPT from environmental noise. The conditional entanglement entropy is associated with a statistical mechanics model wherein noise and quantum-enhanced operations act as two competing external random fields. Then we show that an average apparatus-environment exchange symmetry ensures the conditional entanglement entropy is a valid probe of entanglement. Furthermore, we provide numerical evidence on a (2+1)-d quantum circuit under dephasing noise, demonstrating that MIPT can indeed be observed with the aid of quantum-enhanced operations. This result not only serves as a concrete example of the power of quantum enhancement in combating noise but also holds experimental relevance, as the protocol is straightforward to implement in practice.

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