Entanglement Negativity at Measurement-Induced Criticality

Abstract

We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual information leads to a precise distinction between bipartite and multipartite entanglement. In a measurement-only stabilizer circuit that maps exactly to two-dimensional critical percolation, we show that the mutual information and the mutual negativity are governed by boundary conformal fields of different scaling dimensions at long distances. We then consider a class of "hybrid" circuit models obtained by perturbing the measurement-only circuit with unitary gates of progressive levels of complexity. While other critical exponents vary appreciably for different choices of unitary gate ensembles at their respective critical points, the mutual negativity has scaling dimension 3 across remarkably many of the hybrid circuits, which is notably different from that in percolation. We contrast our results with limiting cases where a geometrical minimal-cut picture is available.

References in corpus (41)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Concentrating Partial Entanglement by Local Operations
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Measurement-driven entanglement transition in hybrid quantum circuits
• Theory of the phase transition in random unitary circuits with measurements
• Measurement-induced criticality in random quantum circuits
• Entanglement negativity in quantum field theory
• Unitary-projective entanglement dynamics
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Dynamical purification phase transitions induced by quantum measurements
• Critical properties of the measurement-induced transition in random quantum circuits
• Entanglement in a fermion chain under continuous monitoring
• A comparison of entanglement measures
• Entanglement negativity in extended systems: A field theoretical approach
• The entanglement of purification
• Entanglement Transitions from Holographic Random Tensor Networks
• Exact exponents for the spin quantum Hall transition
• Postselection-free entanglement dynamics via spacetime duality
• Entanglement of purification: from spin chains to holography
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• Critical Behavior of Random Bond Potts Models
• Entanglement Transition in the Projective Transverse Field Ising Model
• Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
• Emergent conformal symmetry in non-unitary random dynamics of free fermions
• Linking numbers for self-avoiding walks and percolation: application to the spin quantum Hall transition
• Dense loops, supersymmetry, and Goldstone phases in two dimensions
• Detecting Topological Order at Finite Temperature Using Entanglement Negativity
• Mean-field entanglement transitions in random tree tensor networks
• Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death
• An Intersecting Loop Model as a Solvable Super Spin Chain
• GHZ extraction yield for multipartite stabilizer states
• Loop models with crossings
• Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
• Exact valence bond entanglement entropy and probability distribution in the XXX spin chain and the Potts model
• Quantum criticality of loops with topologically constrained dynamics
• Dilute oriented loop models

Cited by in corpus (93)

• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
• Symmetry enriched phases of quantum circuits
• Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
• Topological transitions with continuously monitored free fermions
• Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit
• Nonlinear sigma models for monitored dynamics of free fermions
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Controlling entanglement at absorbing state phase transitions in random circuits
• Transitions in the learnability of global charges from local measurements
• Disordered monitored free fermions
• Entanglement transitions with free fermions
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
• Benchmarking highly entangled states on a 60-atom analog quantum simulator
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
• Entanglement phase transitions in random stabilizer tensor networks
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• Dynamics of measured many-body quantum chaotic systems
• Purification Timescales in Monitored Fermions
• Simulating a measurement-induced phase transition for trapped ion circuits
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Topological order and entanglement dynamics in the measurement-only XZZX quantum code
• Probing sign structure using measurement-induced entanglement
• Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
• Universal KPZ scaling in noisy hybrid quantum circuits
• Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits
• Entanglement phase transitions in non-Hermitian quasicrystals
• Decodable hybrid dynamics of open quantum systems with Z_2 symmetry
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Monitored fermions with conserved $\mathrm{U}(1)$ charge
• Noise-induced phase transitions in hybrid quantum circuits
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Spread complexity for measurement-induced non-unitary dynamics and Zeno effect
• Entanglement negativity between separated regions in quantum critical systems
• Surface codes, quantum circuits, and entanglement phases
• Measurement induced transitions in non-Markovian free fermion ladders
• Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
• Stirring by Staring: Measurement Induced Chirality
• Measurement-induced phase transitions in the toric code
• Boundary transfer matrix spectrum of measurement-induced transitions
• Metrology and multipartite entanglement in measurement-induced phase transition
• Field theory of monitored, interacting fermion dynamics with charge conservation
• Entanglement Features of Random Neural Network Quantum States
• When can localized spins interacting with conduction electrons in ferro- or antiferromagnets be described classically via the Landau-Lifshitz equation: Transition from quantum many-body entangled to quantum-classical nonequilibrium states
• Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
• Production of lattice gauge-Higgs topological states in measurement-only quantum circuit
• Long-range nonstabilizerness and phases of matter
• Quantum simulation using noisy unitary circuits and measurements
• Optimality of Lindblad unfolding in measurement phase transitions
• Steering-induced phase transition in measurement-only quantum circuits
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• Disentangling (2+1)d Topological States of Matter with the Entanglement Negativity
• Quantum information spreading in random spin chains
• Bulk-Measurement-Induced Boundary Phase Transition in Toric Code and Gauge-Higgs Model
• Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuit
• Protect Measurement-Induced Phase Transition from Noise
• Intrinsic mixed state topological order in a stabilizer system under stochastic decoherence: Strong-to-weak spontaneous symmetry breaking from percolation point of view
• Efficient separation of quantum from classical correlations for mixed states with a fixed charge
• Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Relations between quantum metrology and criticality in general su(1, 1) systems
• Information Scrambling in Free Fermion Systems with a Sole Interaction
• Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
• Bulk and boundary entanglement transitions in the projective gauge-Higgs model
• Petz map recovery for long-range entangled quantum many-body states
• Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits
• Subsystem symmetry, spin glass order, and criticality from random measurements in a two-dimensional Bacon-Shor circuit
• Topology and Spectrum in Measurement-Induced Phase Transitions
• Measurement-only dynamical phase transition of topological and boundary order in toric code and gauge-Higgs models
• Multipartite entanglement structure of monitored quantum circuits
• Birth and Early Growth of Entanglement by sd Exchange with Gate-Voltage-Controllable Destiny
• Coherent Information Phase Transition in a Noisy Quantum Circuit
• Hierarchy of emergent cluster states by measurement from symmetry-protected-topological states with large symmetry to subsystem cat state
• Long-range multipartite entanglement near measurement-induced transitions
• Multipartite Greenberger-Horne-Zeilinger Entanglement in Monitored Random Clifford Circuits
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Quantum Entanglement Phase Transitions and Computational Complexity: Insights from Ising Models
• Measurement-induced criticality in extended and long-range unitary circuits
• Markov Gap and Bound Entanglement in Haar Random State
• Neural network enhanced cross entropy benchmark for monitored circuits
• Plaquette Models, Cellular Automata, and Measurement-induced Criticality
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Gain-modified emission dynamics between two quantum emitters in a plasmonic gain cavity system
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions
• Generalized Entanglement of Purification Criteria for 2-Producible States in Multipartite Systems
• Noisy Monitored Quantum Circuits
• Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity
• Disordered purification phase transition in hybrid random circuits