Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature
arXiv:2112.02068 · doi:10.1103/PhysRevLett.128.140601
Abstract
Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs using near-term quantum simulators will extend our ability to explore fundamental aspects of these fields and the subtle connections between them. Here, we demonstrate an experimental method to measure OTOCs at finite temperatures and use the method to study their temperature dependence. These measurements are performed on a digital quantum computer running a simulation of the transverse field Ising model. Our flexible method, based on the creation of a thermofield double state, can be extended to other models and enables us to probe the OTOC's temperature-dependent decay rate. Measuring this decay rate opens up the possibility of testing the fundamental temperature-dependent bounds on quantum information scrambling.
arXiv comment6 pages, 3 figures
References in corpus (50)
- The Large N Limit of Superconformal Field Theories and Supergravity
- A bound on chaos
- Comments on the Sachdev-Ye-Kitaev model
- Black holes and the butterfly effect
- Multi-particle entanglement of hot trapped ions
- Demonstration of a small programmable quantum computer with atomic qubits
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Multiple Shocks
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Verified Quantum Information Scrambling
- Diving into traversable wormholes
- Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
- Out-of-Time-Order Correlation for Many-Body Localization
- Exploring Localization in Nuclear Spin Chains
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- Scrambling and thermalization in a diffusive quantum many-body system
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Out-of-time-order correlations in many-body localized and thermal phases
- Digital Quantum Simulation of Minimal AdS/CFT
- Jarzynski-like equality for the out-of-time-ordered correlator
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Variational Thermal Quantum Simulation via Thermofield Double States
- The quasiprobability behind the out-of-time-ordered correlator
- Bounds on chaos from the eigenstate thermalization hypothesis
- Probing quantum information propagation with out-of-time-ordered correlators
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Thermodynamics of quantum information scrambling
- Probing scrambling using statistical correlations between randomized measurements
- Disentangling Scrambling and Decoherence via Quantum Teleportation
- Product Spectrum Ansatz and the Simplicity of Thermal States
- Minimal Model for Fast Scrambling
- Detection of quantum phases via out-of-time-order correlators
- Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
- Efficient, stabilized two-qubit gates on a trapped-ion quantum computer
- Diagnosing quantum chaos in many-body systems using entanglement as a resource
- Strengthening weak measurements of qubit out-of-time-order correlators
- Fast scrambling without appealing to holographic duality
- Bound on quantum scrambling with all-to-all interactions
- Probing many-body localization on a noisy quantum computer
- Out-of-time-order correlators and quantum phase transitions in the Rabi and Dicke model
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
- Dynamical Scaling Laws of Out-of-Time-Ordered Correlators
- Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
- Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double
- Energy-Resolved Information Scrambling in Energy-Space Lattices
Cited by in corpus (10)
- Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
- Improving Metrology with Quantum Scrambling
- Tunable itinerant spin dynamics with polar molecules
- Quantum Information Scrambling: From Holography to Quantum Simulators
- Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator
- Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
- Quantum chaos and thermalization in the two-mode Dicke model
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
- Evolution of circuit complexity in a harmonic chain under multiple quenches
- Quantum instability and Ehrenfest time for an inverted harmonic oscillator