Berlin 2024 – scientific programme
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QI: Fachverband Quanteninformation
QI 22: Quantum Simulation I
QI 22.8: Talk
Thursday, March 21, 2024, 11:45–12:00, HFT-FT 101
Detecting Entanglement Phase Transitions in Monitored U(1)-Symmetric Quantum Circuits — •Ali G. Moghaddam1,2, Kim Pöyhönen1, and Teemu Ojanen1 — 1Faculty of Engineering and Natural Sciences, Tampere University, FI-33014 Tampere, Finland — 2Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran
Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here we introduce an efficient strategy that bypasses the need for direct measurements of entanglement entropy - requiring an exponential number of measurements relative to subsystem size. Our proposed method offers a scalable approach to capturing entanglement transitions in symmetric monitored quantum circuits. Drawing parallels to entanglement entropy and mutual information, we demonstrate the utility of both bipartite and multipartite fluctuations in analyzing measurement-induced criticality. Remarkably, the phase transition can be revealed by measuring fluctuations of only a handful of qubits.
Keywords: entanglement entropy; quantum circuits; measurement-induced phase transitions; quantum dynamics; quantum measurement