Information Scrambling and Chaos in Open Quantum Systems
arXiv:2012.13172 · doi:10.1103/PhysRevA.103.062214
Abstract
Out-of-time-ordered correlators (OTOCs) have been extensively used over the last few years to study information scrambling and quantum chaos in many-body systems. In this paper, we extend the formalism of the averaged bipartite OTOC of Styliaris et al [Phys. Rev. Lett. 126, 030601 (2021)] to the case of open quantum systems. The dynamics is no longer unitary but it is described by more general quantum channels (trace preserving, completely positive maps). This "open bipartite OTOC" can be treated in an exact analytical fashion and is shown to amount to a distance between two quantum channels. Moreover, our analytical form unveils competing entropic contributions from information scrambling and environmental decoherence such that the latter can obfuscate the former. To elucidate this subtle interplay we analytically study special classes of quantum channels, namely, dephasing channels, entanglement-breaking channels, and others. Finally, as a physical application we numerically study dissipative many-body spin-chains and show how the competing entropic effects can be used to differentiate between integrable and chaotic regimes.
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References in corpus (66)
- A bound on chaos
- Measuring entanglement entropy through the interference of quantum many-body twins
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Chaos in quantum channels
- The Spectrum in the Sachdev-Ye-Kitaev Model
- Dynamics of Loschmidt echoes and fidelity decay
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Probing entanglement entropy via randomized measurements
- Environment-independent decoherence rate in classically chaotic systems
- Two-dimensional conformal field theory and the butterfly effect
- Chaos and complexity by design
- Universal Quantum Estimator
- Direct estimations of linear and non-linear functionals of a quantum state
- On the Entangling Power of Quantum Evolutions
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Verified Quantum Information Scrambling
- Out-of-Time-Order Correlation for Many-Body Localization
- Entanglement of Quantum Evolutions
- Exact nonequilibrium steady state of a strongly driven open XXZ chain
- Exploring Localization in Nuclear Spin Chains
- Quantum Information Scrambling in a Superconducting Qutrit Processor
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- Does scrambling equal chaos?
- On entanglement spreading in chaotic systems
- Scrambling and entanglement spreading in long-range spin chains
- Loschmidt Echo
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Information propagation in isolated quantum systems
- Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
- Out-of-time-order correlations in many-body localized and thermal phases
- Direct measurement of non-linear properties of bipartite quantum states
- Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
- Information Scrambling and Loschmidt Echo
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- 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
- Probing quantum information propagation with out-of-time-ordered correlators
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Out-of-Time-Ordered-Correlator Quasiprobabilities Robustly Witness Scrambling
- Multipartite entanglement detection in bosons
- Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
- Disentangling Scrambling and Decoherence via Quantum Teleportation
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Quantum entanglement of unitary operators on bi-partite systems
- Reversible quantum information spreading in many-body systems near criticality
- Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
- Thermofield dynamics: Quantum Chaos versus Decoherence
- Universal Logarithmic Scrambling in Many Body Localization
- Resilience of scrambling measurements
- Extreme Decoherence and Quantum Chaos
- Information scrambling in chaotic systems with dissipation
- Detection of quantum phases via out-of-time-order correlators
- Exploring quantum signatures of chaos on a Floquet synthetic lattice
- Information scrambling vs. decoherence -- two competing sinks for entropy
- Out-of-time-order correlators in finite open systems
- Quantum Chaos and the Correspondence Principle
- Entropic uncertainty relations for quantum information scrambling
- Detecting dynamical quantum phase transition via out-of-time-order correlations in a solid-state quantum simulator
- Isospectral twirling and quantum chaos
- Random Matrix Theory of the Isospectral twirling
- Decoherence scaling transition in the dynamics of quantum information scrambling
- Detecting scrambling via statistical correlations between randomized measurements on an NMR quantum simulator
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- Operator growth and Krylov construction in dissipative open quantum systems
- Operator growth in open quantum systems: lessons from the dissipative SYK
- Quantum Dynamics in Krylov Space: Methods and Applications
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
- Scrambling Transition in a Radiative Random Unitary Circuit
- Properties and Applications of the Kirkwood-Dirac Distribution
- Scrambling of Algebras in Open Quantum Systems
- Benchmarking Information Scrambling
- Exact Universal Chaos, Speed Limit, Acceleration, Planckian Transport Coefficient, "Collapse" to equilibrium, and Other Bounds in Thermal Quantum Systems
- Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
- Quantum non-stationary phenomena of spin systems in collision models
- Operator growth and spread complexity in open quantum systems
- Inflationary Krylov complexity
- Assessing and Advancing the Potential of Quantum Computing: A NASA Case Study
- State estimation with quantum extreme learning machines beyond the scrambling time
- BROTOCs and Quantum Information Scrambling at Finite Temperature
- Probing quantum chaos in multipartite systems
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- Signatures of quantum chaos in an out-of-time-order tensor
- Quantum Chaos and Coherence: Random Parametric Quantum Channels
- Quantum information scrambling in non-Markovian open quantum systems
- Pointer states and quantum Darwinism with 2-body interactions
- Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
- Information scrambling -- a quantum thermodynamic perspective
- Stochastic Operator Variance: an observable to diagnose noise and scrambling
- Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
- Quantum Lyapunov exponent in dissipative systems
- Probing Dynamical Sensitivity of a Non-KAM System Through Out-of-Time-Order Correlators
- Quantum chaos in the Dicke model and its variants
- Unravelling quantum chaos using persistent homology
- Coherent information of a quantum channel or its complement is generically positive
- Long-time Quantum Scrambling and Generalized Tensor Product Structures
- Bipartite OTOC in open quantum systems: information scrambling and irreversibility
- Quantum speed limit for the OTOC from an open systems perspective
- Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
- Dual-unitary shadow tomography
- Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
- Mutual averaged non-commutativity of quantum operator algebras
- Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
- Open-system dynamics in local Lindbladians with chaotic spectra
- Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
- Anatomy of information scrambling and decoherence in the integrable Sachdev-Ye-Kitaev model
- Symmetry classification correspondence between quadratic Lindbladians and their steady states
- Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
- Out-of-Time-Order-Correlation in perturbed quantum wells
- Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model
- Information acquisition, scrambling, and sensitivity to errors in quantum chaos
- Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap