Benchmarking bosonic modes for quantum information with randomized displacements

Abstract

Bosonic modes are prevalent in all aspects of quantum information processing. However, existing tools for characterizing the quality, stability, and noise properties of bosonic modes are limited, especially in a driven setting. Here, we propose, demonstrate, and analyze a bosonic randomized benchmarking (BRB) protocol that uses randomized displacements of the bosonic modes in phase space to determine their quality. We investigate the impact of common analytic error models, such as heating and dephasing, on the distribution of outcomes over randomized displacement trajectories in phase space. We show that analyzing the distinctive behavior of the mean and variance of this distribution - describable as a gamma distribution - enables identification of error processes, and quantitative extraction of error rates and correlations using a minimal number of measurements. We experimentally validate the analytical models by injecting engineered noise into the motional mode of a trapped ion system and performing the bosonic randomized benchmarking protocol, showing good agreement between experiment and theory. Finally, we investigate the intrinsic error properties in our system, identifying the presence of highly correlated dephasing noise as the dominant process.

13 pages, 6 figures

References in corpus (54)

• Quantum information with continuous variables
• Gaussian Quantum Information
• Quantum-enhanced measurements: beating the standard quantum limit
• Circuit Quantum Electrodynamics
• Trapped-Ion Quantum Computing: Progress and Challenges
• Quantum computation with ions in thermal motion
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Entanglement and quantum computation with ions in thermal motion
• Robust randomized benchmarking of quantum processes
• Heating of trapped ions from the quantum ground state
• Scalable Noise Estimation with Random Unitary Operators
• Efficient measurement of quantum gate error by interleaved randomized benchmarking
• Ion-trap measurements of electric-field noise near surfaces
• Encoding a qubit in a trapped-ion mechanical oscillator
• Self-testing of quantum systems: a review
• Quantum certification and benchmarking
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
• Quantum-enhanced sensing of displacements and electric fields with large trapped-ion crystals
• Ultrasensitive force and displacement detection using trapped ions
• Beating the break-even point with a discrete-variable-encoded logical qubit
• Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
• Verification of quantum computation: An overview of existing approaches
• Cross-Platform Verification of Intermediate Scale Quantum Devices
• Protecting a Bosonic Qubit with Autonomous Quantum Error Correction
• Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force
• Quantum-enhanced sensing of a mechanical oscillator
• Investigating the limits of randomized benchmarking protocols
• Comparing Experiments to the Fault-Tolerance Threshold
• Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
• The theory of heating of the quantum ground state of trapped ions
• The effect of noise correlations on randomized benchmarking
• Phase-modulated entangling gates robust to static and time-varying errors
• Engineering vibrationally-assisted energy transfer in a trapped-ion quantum simulator
• Nonlinear coupling of continuous variables at the single quantum level
• Non-exponential Fidelity Decay in Randomized Benchmarking with Low-Frequency Noise
• Direct observation of geometric phase in dynamics around a conical intersection
• Analog quantum simulation of chemical dynamics
• Experimental quantum verification in the presence of temporally correlated noise
• Observation of wave-packet branching through an engineered conical intersection
• Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion
• Randomized benchmarking for non-Markovian noise
• Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics
• Quantum oscillator noise spectroscopy via displaced cat states
• Dynamically corrected gates suppress spatio-temporal error correlations as measured by randomized benchmarking
• Predicting molecular vibronic spectra using time-domain analog quantum simulation
• Randomized Benchmarking in the Analogue Setting
• Practical verification protocols for analog quantum simulators
• Sample-efficient verification of continuously-parameterized quantum gates for small quantum processors
• Efficient verification of bosonic quantum channels via benchmarking
• Efficient motional-mode characterization for high-fidelity trapped-ion quantum computing
• Measurement-Induced Heating of Trapped Ions
• In-situ-tunable spin-spin interactions in a Penning trap with in-bore optomechanics

Cited by in corpus (7)

• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Experimental Quantum Simulation of Chemical Dynamics
• The phase diagram of quantum chromodynamics in one dimension on a quantum computer
• Quantum learning advantage on a scalable photonic platform
• Bosonic randomized benchmarking with passive transformations
• Observation of synchronization between two quantum van der Pol oscillators in trapped ions
• Co-Designing Spectral Transformation Oracles with Hybrid Oscillator-Qubit Quantum Processors: From Algorithms to Compilation