Exponential shortcut to measurement-induced entanglement phase transitions

Abstract

Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally accessing these transitions through fluctuations. Instead of directly measuring entanglement entropy, which requires an exponential number of measurements in the subsystem size, our method provides a scalable approach to entanglement transitions in the presence of conserved quantities. In analogy to entanglement entropy and mutual information, we illustrate how bipartite and multipartite fluctuations can both be employed to analyze the measurement-induced criticality. Remarkably, the phase transition can be revealed by measuring fluctuations of only a handful of qubits.

6 pages, 4 figures

References in corpus (17)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Efficient quantum state tomography
• Random Quantum Circuits
• Critical properties of the measurement-induced transition in random quantum circuits
• Quantum Noise as an Entanglement Meter
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
• Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
• Entanglement Transition in the Projective Transverse Field Ising Model
• Topological order and criticality in (2+1)D monitored random quantum circuits
• Measurement-induced phase transitions in quantum automaton circuits
• Long-distance transmon coupler with CZ gate fidelity above $99.8\%$
• Exact dynamics in dual-unitary quantum circuits with projective measurements
• Phases and dynamics of ultracold bosons in a tilted optical lattice
• Eigenstate entanglement scaling for critical interacting spin chains
• Many-body entanglement and topology from uncertainties and measurement-induced modes

Cited by in corpus (14)

• Symmetry restoration and quantum Mpemba effect in symmetric random circuits
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Noise-induced phase transitions in hybrid quantum circuits
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• Charge and Entanglement Criticality in a U(1)-Symmetric Hybrid Circuit of Qubits
• Measurement-induced multipartite-entanglement regimes in collective spin systems
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics
• Exact, Average, and Broken Symmetries in a Simple Adaptive Monitored Circuit
• Uncovering measurement-induced entanglement via directional adaptive dynamics and incomplete information
• Noise resilience in adaptive and symmetric monitored quantum circuits
• Relaxation Critical Dynamics in Measurement-induced Phase Transitions
• Identifying Entanglement Phases with Bipartite Projected Ensembles