Quantum scrambling and the growth of mutual information
arXiv:2002.02867 · doi:10.1088/2058-9565/ab8ebb
Abstract
Quantum information scrambling refers to the loss of local recoverability of quantum information, which has found widespread attention from high energy physics to quantum computing. In the present analysis we propose a possible starting point for the development of a comprehensive framework for the thermodynamics of scrambling. To this end, we prove that the growth of entanglement as quantified by the mutual information is lower bounded by the time-dependent change of Out-Of-Time-Ordered Correlator. We further show that the rate of increase of the mutual information can be upper bounded by the sum of local entropy productions, and the exchange entropy arising from the flow of information between separate partitions of a quantum system. Our results are illustrated for the ion trap system, that was recently used to verify information scrambling in an experiment, and for the Sachdev-Ye-Kitaev model.
arXiv comment14 pages, 4 figures
References in corpus (44)
- The Large N Limit of Superconformal Field Theories and Supergravity
- The World as a Hologram
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Cool horizons for entangled black holes
- The Stretched Horizon and Black Hole Complementarity
- The information paradox: A pedagogical introduction
- Chaos in quantum channels
- A short introduction to the Lindblad Master Equation
- Stochastic thermodynamics: Principles and perspectives
- Measuring the scrambling of quantum information
- Chaos and complexity by design
- Entropy production as correlation between system and reservoir
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Verified Quantum Information Scrambling
- The Three Faces of the Second Law: I. Master Equation Formulation
- Lieb-Robinson and the butterfly effect
- Out-of-Time-Order Correlation for Many-Body Localization
- Chaos, Complexity, and Random Matrices
- Out-of-time-order correlators in quantum mechanics
- Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
- Cosmology with torsion: An alternative to cosmic inflation
- Generalized Jordan-Wigner Transformations
- Black hole scrambling from hydrodynamics
- Many-body chaos and energy dynamics in holography
- An introduction to the SYK model
- Jarzynski-like equality for the out-of-time-ordered correlator
- Thermodynamics of quantum information scrambling
- Models for unitary black hole disintegration
- Disentangling Scrambling and Decoherence via Quantum Teleportation
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Quantum fluctuation theorems beyond two-point measurements
- Strings, Black Holes, and Quantum Information
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- Quantum information scrambling after a quantum quench
- Quantum speed limits and the maximal rate of information production
- Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
- Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
- Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
- Demon Dynamics: Deterministic Chaos, the Szilard Map, and the Intelligence of Thermodynamic Systems
- Holographic Butterfly Effect at Quantum Critical Points
- Quantum entropy production in phase space
- Universal scrambling in gapless quantum spin chains
Cited by in corpus (28)
- Scrambling in Random Unitary Circuits: Exact Results
- Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
- Energetic cost of Hamiltonian quantum gates
- Information scrambling vs. decoherence -- two competing sinks for entropy
- Imaginary components of out-of-time correlators and information scrambling for navigating the learning landscape of a quantum machine learning model
- Ergotropy from quantum and classical correlations
- Isospectral twirling and quantum chaos
- Random Matrix Theory of the Isospectral twirling
- Retrieving information from a black hole using quantum machine learning
- Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
- State estimation with quantum extreme learning machines beyond the scrambling time
- Pointer states and quantum Darwinism with 2-body interactions
- Information scrambling -- a quantum thermodynamic perspective
- Quantum information scrambling in two-dimensional Bose-Hubbard lattices
- Classifying two-body Hamiltonians for Quantum Darwinism
- Mutual information for fermionic systems
- Quantum scrambling via accessible tripartite information
- Quantum speed limit for Kirkwood-Dirac quasiprobabilities
- Quantum Lyapunov exponent in dissipative systems
- Energy dynamics, information and heat flow in quenched cooling and the crossover from quantum to classical thermodynamics
- Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
- An operational definition of quantum information scrambling
- Emergence of states in a quantum impurity model
- Navigating the phase diagram of quantum many-body systems in phase space
- Bipartite OTOC in open quantum systems: information scrambling and irreversibility
- Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
- Effect of Quantum Information Scrambling on Bound Entangled States
- Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model