Breakdown of Measurement-Induced Phase Transitions Under Information Loss
arXiv:2407.13837 · doi:10.22331/q-2025-06-24-1781
Abstract
The dynamics of a quantum-many body system subject to measurements is naturally described by an ensemble of quantum trajectories, which can feature measurement-induced phase transitions (MIPTs). This phenomenon cannot be revealed through ensemble-averaged observables, but it requires the ability to discriminate each trajectory separately, making its experimental observation extremely challenging. We explore the fate of MIPTs under an observer's reduced ability to discriminate each measurement outcome. This introduces uncertainty in the state of the system, causing observables to probe a restricted subset of trajectories rather than a single one. By introducing an exactly-solvable Liouvillian model, we examine how long-time spatial correlations are influenced by varying degrees of trajectory averaging. We compute exactly the correlation matrix, Liouvillian gap, and entanglement negativity to demonstrate that averaging over multiple realizations introduces an effective finite lengthscale, beyond which long-range correlations are suppressed. This suggests that partial averaging over trajectories conceals the critical features of individual realizations, thereby blurring away the signatures of distinct measurement-induced phases.
arXiv comment13 pages, 6 figures; updated to the version accepted by Quantum
References in corpus (68)
- Quantum entanglement
- A computable measure of entanglement
- Entanglement Entropy and Quantum Field Theory
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- The logarithmic negativity: A full entanglement monotone that is not convex
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Unbounded growth of entanglement in models of many-body localization
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum trajectories and open many-body quantum systems
- Quantum entanglement in condensed matter systems
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Dynamical quantum phase transitions: a review
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Measurement-driven entanglement transition in hybrid quantum circuits
- A Straightforward Introduction to Continuous Quantum Measurement
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Theory of the phase transition in random unitary circuits with measurements
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Entanglement negativity in quantum field theory
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Spectral theory of Liouvillians for dissipative phase transitions
- Dynamical purification phase transitions induced by quantum measurements
- Critical properties of the measurement-induced transition in random quantum circuits
- Dissipative Phase Transition in Central Spin Systems
- Entanglement in a fermion chain under continuous monitoring
- Spin diffusion from an inhomogeneous quench in an integrable system
- A simple model of quantum trajectories
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Entanglement negativity in extended systems: A field theoretical approach
- Entanglement dynamics after quantum quenches in generic integrable systems
- Quantum Trajectories and Quantum Measurement Theory
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Scrambling and entanglement spreading in long-range spin chains
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Spectral theorem for the Lindblad equation for quadratic open fermionic systems
- Entanglement and purification transitions in non-Hermitian quantum mechanics
- Fate of measurement-induced phase transition in long-range interactions
- Dissipative Dynamics and Phase Transitions in Fermionic Systems
- Growth of entanglement entropy under local projective measurements
- Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
- Theory of free fermions under random projective measurements
- Non-equilibrium thermal transport in the quantum Ising chain
- New wine in old bottles: Quantum measurement - direct, indirect, weak - with some applications
- Topological transitions with continuously monitored free fermions
- Fermionic Gaussian states: an introduction to numerical approaches
- Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
- Symmetry decomposition of negativity of massless free fermions
- Twisted and untwisted negativity spectrum of free fermions
- Entanglement Steering in Adaptive Circuits with Feedback
- Triviality of quantum trajectories close to a directed percolation transition
- Emergent hydrodynamics in non-equilibrium quantum systems
- Entanglement-magic separation in hybrid quantum circuits
- Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
- The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
- Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
- Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
- Metrology and multipartite entanglement in measurement-induced phase transition
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- Quantum jumps in driven-dissipative disordered many-body systems
- Lindbladian dynamics with loss of quantum jumps
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- Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
- Exact Quench Dynamics from Thermal Pure Quantum States