Strengthening weak measurements of qubit out-of-time-order correlators

Abstract

For systems of controllable qubits, we provide a method for experimentally obtaining a useful class of multitime correlators using sequential generalized measurements of arbitrary strength. Specifically, if a correlator can be expressed as an average of nested (anti)commutators of operators that square to the identity, then that correlator can be determined exactly from the average of a measurement sequence. As a relevant example, we provide quantum circuits for measuring multiqubit out-of-time-order correlators using optimized control-Z or ZX-90 two-qubit gates common in superconducting transmon implementations.

arXiv comment12 pages, 6 figures, published version

References in corpus (58)

• Charge insensitive qubit design derived from the Cooper pair box
• A bound on chaos
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• Coherent Josephson qubit suitable for scalable quantum integrated circuits
• Direct Measurement of the Quantum Wavefunction
• Operator Spreading in Random Unitary Circuits
• Chaos in quantum channels
• Colloquium: Understanding Quantum Weak Values: Basics and Applications
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Localized shocks
• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Measuring the scrambling of quantum information
• Multiple Shocks
• Two-dimensional conformal field theory and the butterfly effect
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• Theory of universal incoherent metallic transport
• Chaos and complexity by design
• Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Lieb-Robinson and the butterfly effect
• Direct measurement of general quantum states using weak measurement
• Out-of-Time-Order Correlation for Many-Body Localization
• Chaos, Complexity, and Random Matrices
• Undoing a weak quantum measurement of a solid-state qubit
• Universal Charge Diffusion and the Butterfly Effect
• Slow scrambling in disordered quantum systems
• Out-of-time-ordered correlators in many-body localized systems
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Many-body chaos at weak coupling
• Fast adiabatic qubit gates using only ${\sigma }_z$ control
• Out-of-time-ordered correlators in quantum Ising chain
• Partial-measurement back-action and non-classical weak values in a superconducting circuit
• Weak Quantum Chaos
• Quantum chaos on a critical Fermi surface
• Measurement of many-body chaos using a quantum clock
• Jarzynski-like equality for 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
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Quantum butterfly effect in weakly interacting diffusive metals
• Universal Diffusion in Incoherent Black Holes
• Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
• Contextual Values of Observables in Quantum Measurements
• Observing Dirac's classical phase space analog to the quantum state
• Decoupling with random quantum circuits
• High-fidelity CZ gate for resonator-based superconducting quantum computers
• Reversing quantum trajectories with analog feedback
• Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
• Charge diffusion and the butterfly effect in striped holographic matter
• Modular values and weak values of quantum observables
• Resilience of scrambling measurements
• Experimental demonstration of direct path state characterization by strongly measuring weak values in a matter-wave interferometer
• Contextual-value approach to the generalized measurement of observables
• Quantum Bayesian approach to circuit QED measurement with moderate bandwidth
• Thermal out-of-time-order correlators, KMS relations, and spectral functions
• Implementing generalized measurements with superconducting qubits

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• Methodology for replacing indirect measurements with direct measurements
• Many-Body Chaos in the Sachdev-Ye-Kitaev Model
• Out-of-Time-Ordered-Correlator Quasiprobabilities Robustly Witness Scrambling
• Properties and Applications of the Kirkwood-Dirac Distribution
• Quantum Lyapunov Spectrum
• Entropic uncertainty relations for quantum information scrambling
• Quasiprobabilities in quantum thermodynamics and many-body systems
• Weak Measurement of Superconducting Qubit Reconciles Incompatible Operators
• Scrambling in the Dicke model
• Projective measurements can probe non-classical work extraction and time-correlations
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Out-of-time-ordered correlators in short-range and long-range hard-core boson models and in the Luttinger-liquid model
• Typical growth behavior of the out-of-time-ordered commutator in many-body localized systems
• Experimental Realization of Sequential Weak Measurements of Arbitrary Non-commuting Pauli Observables
• Strongly measuring qubit quasiprobabilities behind out-of-time-ordered correlators
• Thermalization and chaos in QED${}_3$
• Super-exponential scrambling of Out-of-time-ordered correlators
• Interferometry of quantum correlation functions to access quasiprobability distribution of work
• Non-Abelian transport distinguishes three usually equivalent notions of entropy production
• Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
• Probing Out-of-Time-Order Correlators
• Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information
• Quantum speed limit for Kirkwood-Dirac quasiprobabilities
• Pauli-based model of quantum computation with higher-dimensional systems
• Characteristics of interaction between Gravitons and Photons
• Snapshotting Quantum Dynamics at Multiple Time Points
• Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
• Probing unitary two-time correlations in a neutral atom quantum simulator
• Chaos in a quantum rotor model
• Soft thermodynamics of gravitational shock wave
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature