Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit

Abstract

Generic many-body systems coupled to an environment lose their quantum entanglement due to decoherence and evolve to a mixed state with only classical correlations. Here, we show that measurements can stabilize quantum entanglement within open quantum systems. Specifically, in random unitary circuits with dephasing at the boundary, we find both numerically and analytically that projective measurements performed at a small nonvanishing rate results in a steady state with an $L^{1/3}$ power-law scaling entanglement negativity within the system. Using an analytical mapping to a statistical mechanics model of directed polymers in a random environment, we show that the power-law negativity scaling can be understood as Kardar-Parisi-Zhang fluctuations due to the random measurement locations. Further increasing the measurement rate leads to a phase transition into an area-law negativity phase, which is of the same universality as the entanglement transition in monitored random circuits without decoherence.

arXiv comment6+16 pages, 3+5 figures; v2: published version, updated figure 2, added references

References in corpus (47)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Average Entropy of a Subsystem
• The logarithmic negativity: A full entanglement monotone that is not convex
• Improved Simulation of Stabilizer Circuits
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Quantum thermalization through entanglement in an isolated many-body system
• Operator Spreading in Random Unitary Circuits
• 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
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Measurement-driven entanglement transition in hybrid quantum circuits
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Theory of the phase transition in random unitary circuits with measurements
• Measurement-induced criticality in random quantum circuits
• Entanglement negativity in quantum field theory
• Holographic duality from random tensor networks
• 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
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Entanglement negativity in extended systems: A field theoretical approach
• Emergent statistical mechanics of entanglement in random unitary circuits
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Ground state entanglement and geometric entropy in the Kitaev's model
• Entanglement phase transitions in measurement-only dynamics
• Postselection-free entanglement dynamics via spacetime duality
• Symmetry enriched phases of quantum circuits
• Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
• Spacetime duality between localization transitions and measurement-induced transitions
• Irreversibility in asymptotic manipulations of entanglement
• Entanglement Negativity at Measurement-Induced Criticality
• Detecting Topological Order at Finite Temperature Using Entanglement Negativity
• Lecture Notes on the Theory of Open Quantum Systems
• Directed polymer near a hard wall and KPZ equation in the half-space
• Holographic entanglement negativity and replica symmetry breaking
• Singularity in Entanglement Negativity Across Finite Temperature Phase Transitions
• Entanglement negativity spectrum of random mixed states: A diagrammatic approach
• Entanglement Renyi negativity across a finite temperature transition: a Monte Carlo study
• Entanglement Features of Random Hamiltonian Dynamics
• Entanglement between two subsystems, the Wigner semicircle and extreme value statistics
• Half-space stationary Kardar-Parisi-Zhang equation
• Entanglement transitions as a probe of quasiparticles and quantum thermalization

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• Controlling entanglement at absorbing state phase transitions in random circuits
• Transitions in the learnability of global charges from local measurements
• Scrambling Transition in a Radiative Random Unitary Circuit
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Purification Timescales in Monitored Fermions
• Critical phase and spin sharpening in SU(2)-symmetric monitored quantum circuits
• Topological order and entanglement dynamics in the measurement-only XZZX quantum code
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
• Many-Body Non-Hermitian Skin Effect for Multipoles
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• Universal KPZ scaling in noisy hybrid quantum circuits
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Noise-induced phase transitions in hybrid quantum circuits
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Measurement induced transitions in non-Markovian free fermion ladders
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Entanglement Dynamics of Noisy Random Circuits
• KPZ physics and phase transition in a classical single random walker under continuous measurement
• Strong-to-weak symmetry breaking states in stochastic dephasing stabilizer circuits
• Boundary transfer matrix spectrum of measurement-induced transitions
• Robustness of quantum chaos and anomalous relaxation in open quantum circuits
• Efficient sampling of noisy shallow circuits via monitored unraveling
• Measurement-induced phase transition in a single-body tight-binding model
• Classifying One-Dimensional Quantum States Prepared by a Single Round of Measurements
• Statistical Mechanics of Monitored Dissipative Random Circuits
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Quantum information spreading in random spin chains
• Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
• Protect Measurement-Induced Phase Transition from Noise
• Entanglement structure in the volume-law phase of hybrid quantum automaton circuits
• Entanglement transitions induced by quantum-data collection
• Intrinsic mixed state topological order in a stabilizer system under stochastic decoherence: Strong-to-weak spontaneous symmetry breaking from percolation point of view
• KPZ fluctuations in finite volume
• Prolonging a discrete time crystal by quantum-classical feedback
• Coherent Information Phase Transition in a Noisy Quantum Circuit
• Noise resilience in adaptive and symmetric monitored quantum circuits
• Multipartite Greenberger-Horne-Zeilinger Entanglement in Monitored Random Clifford Circuits
• Relaxation Critical Dynamics in Measurement-induced Phase Transitions
• Neural network enhanced cross entropy benchmark for monitored circuits
• Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
• Engineering entanglement geometry via spacetime-modulated measurements
• Noisy Monitored Quantum Circuits
• Disordered purification phase transition in hybrid random circuits