Protect Measurement-Induced Phase Transition from Noise

Area of Science:

• Quantum Information Science
• Condensed Matter Physics
• Statistical Mechanics

Background:

• Measurement-induced phase transitions (MIPT) arise from scrambling dynamics protecting quantum information from measurements.
• Decoherence noise typically disrupts the volume-law phase, hindering MIPT observation on current quantum devices.
• Quantum-enhanced operations offer a potential solution to mitigate noise effects.

Purpose of the Study:

• To demonstrate that quantum-enhanced operations can protect MIPT from environmental noise.
• To enable the experimental detection of MIPT in the presence of noise.
• To establish MIPT as a genuine entanglement phase transition under noisy conditions.

Main Methods:

• Characterizing the transition using conditional entanglement entropy.
• Modeling the system with competing external random fields representing noise and quantum enhancement.
• Numerical simulations of a (2+1)-dimensional quantum circuit under dephasing noise.
• Proposing a method to estimate noise rates for experimental realization.

Main Results:

• Quantum-enhanced operations effectively shield the MIPT from decoherence noise.
• The MIPT is observable under a zero-net-field condition, achieved by balancing noise and quantum enhancement.
• Conditional entanglement entropy serves as a valid probe for entanglement transitions under these conditions.
• Numerical evidence confirms MIPT in a noisy (2+1)D quantum circuit.

Conclusions:

• Quantum enhancement is a powerful tool for preserving quantum phenomena like MIPT in noisy environments.
• The proposed protocol provides a feasible pathway for experimentally observing MIPT.
• This work highlights the potential of quantum-enhanced operations in advancing quantum information processing and understanding fundamental quantum dynamics.