Noise-Induced Entanglement Transition in One-Dimensional Random Quantum Circuits

A random quantum circuit is a minimally structured model to study entanglement dynamics of many-body systems. We consider one-dimensional with noisy Haar-random unitary gates using density matrix operator and tensor contraction methods. It shown that the evolution circuits properly characterized by logarithmic negativity. By performing exact numerical calculations, we find that, as physical error rate decreased below critical value p c ≈ 0.056, negativity changes from area law volume law, giving rise an transition. The exponent correlation length can be determined finite-size scaling analysis, revealing universal dynamic property intermediate-scale devices.