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.
6 pages, 3 figures
References in corpus (11)
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- Slow scrambling in disordered quantum systems
- Jarzynski-like equality for 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
- Minimal Model for Fast Scrambling
- Efficient, stabilized two-qubit gates on a trapped-ion quantum computer
- Bound on quantum scrambling with all-to-all interactions
- 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