Quantum Noise as a Symmetry-Breaking Field

• URL: http://arxiv.org/abs/2208.13861v1
• Date: Mon, 29 Aug 2022 20:05:09 GMT
• Title: Quantum Noise as a Symmetry-Breaking Field
• Authors: Beatriz C. Dias, Domagoj Perkovic, Masudul Haque, Pedro Ribeiro, Paul A. McClarty
• Abstract summary: We investigate the effect of quantum noise on the measurement-induced quantum phase transition in monitored random quantum circuits. Using the efficient simulability of random Clifford circuits, we find that the transition is broadened into a crossover. We show that a mapping to a classical statistical mechanics problem accounts for the main features of the random circuit phase diagram.
• Score: 0.8504685056067142
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the effect of quantum noise on the measurement-induced quantum phase transition in monitored random quantum circuits. Using the efficient simulability of random Clifford circuits, we find that the transition is broadened into a crossover and that the phase diagram as a function of projective measurements and noise exhibits several distinct regimes. We show that a mapping to a classical statistical mechanics problem accounts for the main features of the random circuit phase diagram. The bulk noise maps to an explicit permutation symmetry breaking coupling; this symmetry is spontaneously broken when the noise is switched off. These results have implications for the realization of entanglement transitions in noisy quantum circuits.

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