Multipartite entanglement structure of monitored quantum circuits
arXiv:2412.16062 · doi:10.1103/fl34-h1p1
Abstract
Monitored quantum circuits have attracted significant interest as an example of synthetic quantum matter, intrinsically defined by their quantum information content. Here, we propose a multipartite entanglement perspective on monitored phases through the lens of quantum Fisher information. Our findings reveal that unstructured monitored random circuits fail to exhibit divergent multipartite entanglement even at criticality, highlighting their departure from standard quantum critical behavior. However, we demonstrate that genuinely multipartite entangled phases can be realized through two-site measurements, provided a protection mechanism is in place. This work positions multipartite entanglement as a valuable perspective for the study of interacting monitored circuits and broader frameworks of noisy quantum dynamics.
This work contains 5 pages and 4 figures
References in corpus (75)
- Quantum entanglement
- Quantum Computing in the NISQ era and beyond
- Advances in Quantum Metrology
- Entanglement entropy and conformal field theory
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum Resource Theories
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum metrology from a quantum information science perspective
- Quantum entanglement in condensed matter systems
- Quantum Fisher information matrix and multiparameter estimation
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Measurement-driven entanglement transition in hybrid quantum circuits
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Theory of the phase transition in random unitary circuits with measurements
- Measurement-induced criticality in random quantum circuits
- Random Quantum Circuits
- Dynamical purification phase transitions induced by quantum measurements
- Critical properties of the measurement-induced transition in random quantum circuits
- Measuring multipartite entanglement via dynamic susceptibilities
- Scalable probes of measurement-induced criticality
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Measurement-induced topological entanglement transitions in symmetric random quantum circuits
- Measurement Protected Quantum Phases
- Dynamic framework for criticality-enhanced quantum sensing
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
- Conformal invariance and quantum non-locality in critical hybrid circuits
- Entanglement Transition in the Projective Transverse Field Ising Model
- Operator scaling dimensions and multifractality at measurement-induced transitions
- Quantum critical metrology
- Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
- Emergent conformal symmetry in non-unitary random dynamics of free fermions
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
- Multipartite entanglement in topological quantum phases
- Topological order and criticality in (2+1)D monitored random quantum circuits
- Entanglement Negativity at Measurement-Induced Criticality
- Measurement-induced phase transitions in -dimensional stabilizer circuits
- Topological transitions with continuously monitored free fermions
- Witnessing entanglement in quantum magnets using neutron scattering
- Cross Entropy Benchmark for Measurement-Induced Phase Transitions
- Quantifying and controlling entanglement in the quantum magnet CsCoCl
- Quantum Fisher information measurement and verification of the quantum Cramér-Rao bound in a solid-state qubit
- Characterization of topological states via dual multipartite entanglement
- Phase transition in magic with random quantum circuits
- Entanglement transitions with free fermions
- Dynamical Magic Transitions in Monitored Clifford+T Circuits
- Topology, criticality, and dynamically generated qubits in a stochastic measurement-only Kitaev model
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Loop models with crossings
- Multipartite entanglement structure in the Eigenstate Thermalization Hypothesis
- Coherence requirements for quantum communication from hybrid circuit dynamics
- Purification Timescales in Monitored Fermions
- Topological order and entanglement dynamics in the measurement-only XZZX quantum code
- Entanglement-magic separation in hybrid quantum circuits
- Majorana Loop Models for Measurement-Only Quantum Circuits
- Coherent error threshold for surface codes from Majorana delocalization
- Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
- Multipartite entanglement after a quantum quench
- Phases and dynamics of ultracold bosons in a tilted optical lattice
- Length Distributions in Loop Soups
- Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
- Robust estimation of the Quantum Fisher Information on a quantum processor
- Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows
- Observing quantum measurement collapse as a learnability phase transition
- Robust teleportation of a surface code and cascade of topological quantum phase transitions
- Experimental demonstration of scalable cross-entropy benchmarking to detect measurement-induced phase transitions on a superconducting quantum processor
- Accurate optimal quantum error correction thresholds from coherent information
- Multipartite entanglement of the topologically ordered state in a perturbed toric code
- Measurement-induced multipartite-entanglement regimes in collective spin systems
- A Solvable Model of Quantum Darwinism-Encoding Transitions
- Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits