Critical Properties of Weak Measurement Induced Phase Transitions in Random Quantum Circuits
arXiv:2404.02968 · doi:10.1103/PhysRevB.110.064301
Abstract
The effects of different forms of weak measurements on the nature of the measurement induced phase transition are theoretically studied in hybrid random quantum circuits of qubits. We use a combination of entanglement measures, ancilla purification dynamics, and a transfer matrix approach to compute the critical exponents, the effective central charge, and the multifractal spectrum of the measurement induced transitions. We compare weak measurements with an infinite number of discrete outcomes to a protocol with only a pair of outcomes and find that to within our numerical accuracy the universal critical properties are unaffected by the weak measurement protocols and are consistent with the universality class found for strong projective measurements.
12 + 2 pages, 6 + 3 figures (Updated with published version)
References in corpus (13)
- Random Quantum Circuits
- Critical properties of the measurement-induced transition in random quantum circuits
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Operator scaling dimensions and multifractality at measurement-induced transitions
- Topological transitions with continuously monitored free fermions
- Entanglement dynamics in hybrid quantum circuits
- Entanglement in one-dimensional critical state after measurements
- Exact dynamics in dual-unitary quantum circuits with projective measurements
- Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits
- Infinite-randomness criticality in monitored quantum dynamics with static disorder
- Boundary transfer matrix spectrum of measurement-induced transitions
- Measurement induced criticality in quasiperiodic modulated random hybrid circuits
- Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors