Thermodynamics of quantum information scrambling

Abstract

Scrambling of quantum information can be conveniently quantified by so called out-of-time-order-correlators (OTOCs), whose measurements presents a formidable experimental challenge. Here we report on a method for the measurement of OTOCs based on the so-called two-point measurements scheme developed in the field of non-equilibrium quantum thermodynamics. The scheme is of broader applicability than methods employed in current experiments and also provides a clear-cut interpretation of quantum information scrambling in terms of non-equilibrium fluctuations of thermodynamic quantities such as work. Furthermore, we provide a numerical example on a spin chain which highlights the utility of our thermodynamic approach when understanding the differences between integrable and ergodic behavior. We also discuss connections to some recent experiments.

Main result unchanged. Change of title to reflect more general nature of results. Additional analysis of 1st and 2nd moments of distribution included. Numerical example and interpretation of current experiments included. The year 2016, well, blame it on the butterfly

References in corpus (14)

• Black holes as mirrors: quantum information in random subsystems
• Fluctuation theorems: Work is not an observable
• Dynamics of Loschmidt echoes and fidelity decay
• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Dissipation: The phase-space perspective
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Generalized Clausius inequality for nonequilibrium quantum processes
• Slow scrambling in disordered quantum systems
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Out-of-time-order correlations in many-body localized and thermal phases
• Jarzynski-like equality for the out-of-time-ordered correlator
• Fast electron thermometry towards ultra-sensitive calorimetric detection
• Universal Logarithmic Scrambling in Many Body Localization
• Decoherence of adiabatically steered quantum systems

Cited by in corpus (83)

• Reconciliation of quantum local master equations with thermodynamics
• Out-of-time-order correlators in quantum mechanics
• Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
• Information Scrambling and Loschmidt Echo
• Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
• Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
• The quasiprobability behind the out-of-time-ordered correlator
• Onset of many-body chaos in the $O(N)$ model
• Probing quantum information propagation with out-of-time-ordered correlators
• Locality, Quantum Fluctuations, and Scrambling
• Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
• Accessing scrambling using matrix product operators
• Out-of-time-ordered density correlators in Luttinger liquids
• Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
• Characterization of a Two-Photon Quantum Battery: Initial Conditions, Stability and Work Extraction
• Information scrambling in chaotic systems with dissipation
• Resilience of scrambling measurements
• Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
• Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
• Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
• The operator Lévy flight: light cones in chaotic long-range interacting systems
• Quantum work statistics, Loschmidt echo and information scrambling
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Scrambling in strongly chaotic weakly coupled bipartite systems: Universality beyond the Ehrenfest time-scale
• Stochastic normalizing flows as non-equilibrium transformations
• Diagnosing quantum chaos in many-body systems using entanglement as a resource
• Out-of-time-order correlations and Floquet dynamical quantum phase transition
• Quasiprobabilities in quantum thermodynamics and many-body systems
• Enhancing coherent energy transfer between quantum devices via a mediator
• Scrambling in the Dicke model
• Ergotropy from quantum and classical correlations
• Quantum scrambling and the growth of mutual information
• Out-of-time-order fluctuation-dissipation theorem
• Group-theoretical approach to the calculation of quantum work distribution
• Information scrambling at finite temperature in local quantum systems
• Thermalization and chaos in QED${}_3$
• Entanglement entropy from non-equilibrium Monte Carlo simulations
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Dynamical Scaling Laws of Out-of-Time-Ordered Correlators
• Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
• Information scrambling at an impurity quantum critical point
• Macroscopic effects of localised measurements in jammed states of quantum spin chains
• State estimation with quantum extreme learning machines beyond the scrambling time
• Analytically Solvable Model for Qubit-Mediated Energy Transfer between Quantum Batteries
• Signatures of quantum chaos in an out-of-time-order tensor
• Quantum information scrambling in non-Markovian open quantum systems
• Wehrl entropy production rate across a dynamical quantum phase transition
• Entropy of the quantum work distribution
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• Information scrambling -- a quantum thermodynamic perspective
• Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
• Boosting energy transfer between quantum devices through spectrum engineering in the dissipative ultrastrong coupling regime
• The role of quantum work statistics in many-body physics
• Quantum Lyapunov exponent in dissipative systems
• Asymmetric butterfly velocities in 2-local Hamiltonians
• Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information
• Stability of Quantum Dynamics under Constant Hamiltonian Perturbations
• Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
• Free Independence and the Noncrossing Partition Lattice in Dual-Unitary Quantum Circuits
• Relevant OTOC operators: footprints of the classical dynamics
• Chaos in a quantum rotor model
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Entropic bounds between two thermal equilibrium states
• Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
• Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
• Classical and quantum chaos of closed strings on a charged confining holographic background
• Universal work statistics in long-range interacting quantum systems
• Theory of Quantum Work in Metallic Grains
• Quantum information diode based on a magnonic crystal
• Quantum chaos in PT symmetric quantum systems
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Quantum memory and scrambling from the perspective of a classical neural network
• Scrambling and quantum feedback in a nanomechanical system
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Directional scrambling of quantum information in helical multiferroics
• Mechanisms of scrambling and unscrambling of quantum information in the ground state in spin chains: domain-walls, spin-flips and scattering phase shifts
• Quantum information scrambling in adiabatically-driven critical systems
• Quantum fluctuation theorem for initial near-equilibrium system
• Classical periodic trajectories and quantum scars in many-spin systems
• Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature
• Quantum harmonic oscillators and thermalization
• Operator delocalization in disordered spin chains via exact MPO marginals