Chaos in quantum channels

Abstract

We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing mutual information with almost all partitions of the output. Additionally, we propose the negativity of the tripartite information of the channel as a general diagnostic of scrambling. This measures the delocalization of information and is closely related to the decay of out-of-time-order correlators. We back up our results with numerics in two non-integrable models and analytic results in a perfect tensor network model of chaotic time evolution. These results show that the butterfly effect in quantum systems implies the information-theoretic definition of scrambling.

44+17 pages, many figures. v2: typos fixed, references added, statements clarified. v3: minor confusion alleviated

References in corpus (10)

• Black holes as mirrors: quantum information in random subsystems
• Complexity and Shock Wave Geometries
• Complexity, action, and black holes
• Strong and weak thermalization of infinite non-integrable quantum systems
• A Sharp Fannes-type Inequality for the von Neumann Entropy
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Bidirectional holographic codes and sub-AdS locality
• Entanglement in the stabilizer formalism
• Locality in Quantum Systems
• Framework for classifying logical operators in stabilizer codes

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• No invariant perfect qubit codes
• Size Winding Mechanism beyond Maximal Chaos
• Probing scrambling and operator size distributions using random mixed states and local measurements
• Quantum Annealing with chaotic driver Hamiltonians
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• Entangled states from sparsely coupled spins for metrology with neutral atoms
• Quantum memory and scrambling from the perspective of a classical neural network
• Charge-conserving unitaries typically generate optimal covariant quantum error-correcting codes
• Void formation in operator growth, entanglement, and unitarity
• Transient and steady-state chaos in dissipative quantum systems
• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
• Uncertainty Relations in Pre- and Post-Selected Systems
• Loschmidt echo and scrambling of systematic errors in tomography -- a quantum signature of chaos
• Non-stabilizerness and entanglement from cat-state injection
• SU(d)-Symmetric Random Unitaries: Quantum Scrambling, Error Correction, and Machine Learning
• Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
• Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
• Scrambling in Ising spin systems with periodic transverse magnetic fields
• A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
• Measurement-invisible quantum correlations in scrambling dynamics
• Multipartite Entanglement Structure of Fibered Link States
• Enhanced Predictive Capability for Chaotic Dynamics by Modified Quantum Reservoir Computing
• Entanglement in Typical States of Chern-Simons Theory
• On the completeness of contraction map proof method for holographic entropy inequalities
• Quantum speed limit for the OTOC from an open systems perspective
• Directional scrambling of quantum information in helical multiferroics
• Scrambling and quantum feedback in a nanomechanical system
• Information scrambling of the dilute Bose gas at low temperature
• Field theory of charge sharpening in symmetric monitored quantum circuits
• Information phases of partial projected ensembles generated from random quantum states and scrambling dynamics
• A polynomial time algorithm for studying physical observables in chaotic eigenstates
• Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
• A tripartite entanglement in de Sitter spacetime
• Out-of-time-order asymptotic observables are quasi-isomorphic to time-ordered amplitudes
• Detecting quantum chaos via pseudo-entropy
• Mechanisms of scrambling and unscrambling of quantum information in the ground state in spin chains: domain-walls, spin-flips and scattering phase shifts
• Effect of Quantum Information Scrambling on Bound Entangled States
• Bridging Classical and Quantum Information Scrambling with the Operator Entanglement Spectrum
• Learning out-of-time-ordered correlators with classical kernel methods
• Chaos in the holographic matrix models for meson and baryon
• Local density matrices of many-body states in the constant weight subspaces
• Sampling and the complexity of nature
• Symmetry Properties of Quantum Dynamical Entropy
• Logarithmic growth of operator entanglement in a clean non-integrable circuit
• Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
• On a Matrix Ensemble for Arbitrary Complex Quantum Systems
• Stabilizing confined quasiparticle dynamics in one-dimensional polar lattice gases
• Circumventing the black hole hair-loss problem
• Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains
• Hacking Quantum Networks: Extraction and Installation of Quantum Data
• Information acquisition, scrambling, and sensitivity to errors in quantum chaos
• Towards a Geometrization of Quantum Complexity and Chaos
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Fast Scrambling in Classically Simulable Quantum Circuits
• More global randomness from less-random local gates
• Engineering entanglement geometry via spacetime-modulated measurements
• Diagnosing chaos with projected ensembles of process tensors
• Volume-law entanglement entropy of typical pure quantum states
• Explicit decoders using fixed-point amplitude amplification based on QSVT
• Quantum transitions, ergodicity, and quantum scars in the coupled top model
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• Efficient detection of localization transitions using predictability
• Detecting entanglement with transport measurement in weakly interacting and fluctuating systems
• Krylov Winding and Emergent Coherence in Operator Growth Dynamics
• Sachdev-Ye-Kitaev Model in a Quantum Glassy Landscape
• Out-of-time-order correlation and detection of phase structure in Floquet transverse Ising spin system
• Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
• Moments of Quantum Channel Ensembles
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
• Operator Entanglement from Non-Commutative Symmetries
• Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures