Experimental Bayesian calibration of trapped ion entangling operations

Abstract

The performance of quantum gate operations is experimentally determined by how correct operational parameters can be determined and set, and how stable these parameters can be maintained. In addition, gates acting on different sets of qubits require unique sets of control parameters. Thus, an efficient multi-dimensional parameter estimation procedure is crucial to calibrate even medium sized quantum processors. Here, we develop and characterize an efficient calibration protocol to automatically estimate and adjust experimental parameters of the widely used Molmer-Sorensen entangling gate operation in a trapped ion quantum information processor. The protocol exploits Bayesian parameter estimation methods which includes a stopping criterion based on a desired gate infidelity. We experimentally demonstrate a median gate infidelity of $1.3(1)\cdot 10^{-3}$, requiring only $1200\pm 500$ experimental cycles, while completing the entire gate calibration procedure in less than one minute. This approach is applicable to other quantum information processor architectures with known or sufficiently characterized theoretical models.

arXiv comment20 pages, 11 figures; Fixed typo in abstract

References in corpus (64)

• Quantum Computing in the NISQ era and beyond
• Double-slit photoelectron interference in strong-field ionization of the neon dimer
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Noisy intermediate-scale quantum (NISQ) algorithms
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Quantum computational chemistry
• Trapped-Ion Quantum Computing: Progress and Challenges
• Quantum computation with ions in thermal motion
• Quantum algorithms: an overview
• Randomized Benchmarking of Quantum Gates
• Quantum information processing with superconducting circuits: a review
• Prescription for experimental determination of the dynamics of a quantum black box
• Entanglement and quantum computation with ions in thermal motion
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• Robust randomized benchmarking of quantum processes
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Photonic quantum information processing: a concise review
• Demonstration of the trapped-ion quantum-CCD computer architecture
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Benchmarking an 11-qubit quantum computer
• Scalable Noise Estimation with Random Unitary Operators
• Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
• Superconducting Quantum Computing: A Review
• A compact ion-trap quantum computing demonstrator
• Fidelity benchmarks for two-qubit gates in silicon
• A quantum information processor with trapped ions
• Rydberg mediated entanglement in a two-dimensional neutral atom qubit array
• Self-Consistent Quantum Process Tomography
• Characterizing large-scale quantum computers via cycle benchmarking
• Efficient Bayesian Phase Estimation
• Process tomography of ion trap quantum gates
• A fast, low-leakage, high-fidelity two-qubit gate for a programmable superconducting quantum computer
• Adaptive Bayesian Quantum Tomography
• Precision measurement and compensation of optical Stark shifts for an ion-trap quantum processor
• Scalable global entangling gates on arbitrary ion qubits
• Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force
• Ion trap quantum gates with amplitude-modulated laser beams
• Randomized Benchmarking of Multi-Qubit Gates
• Robust Calibration of a Universal Single-Qubit Gate-Set via Robust Phase Estimation
• Deterministic entanglement of ions in thermal states of motion
• Detecting and tracking drift in quantum information processors
• Experimental Adaptive Bayesian Tomography
• High-fidelity Two-qubit Gates Using a MEMS-based Beam Steering System for Individual Qubit Addressing
• Optimal control of entangling operations for trapped ion quantum computing
• Calibration of the cross-resonance two-qubit gate between directly-coupled transmons
• Restless Tuneup of High-Fidelity Qubit Gates
• Cryogenic setup for trapped ion quantum computing
• Demonstration of a Parametrically-Activated Entangling Gate Protected from Flux Noise
• Bayesian estimation of one-parameter qubit gates
• Universal gate-set for trapped-ion qubits using a narrow linewidth diode laser
• Experimental quantum verification in the presence of temporally correlated noise
• Benchmarking a high-fidelity mixed-species entangling gate
• Practical adaptive quantum tomography
• Scalable in-situ qubit calibration during repetitive error detection
• Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation
• Experimental adaptive process tomography
• Quantum Zeno effect in parameter estimation
• The ubiquitous problem of learning system parameters for dissipative two-level quantum systems: Fourier analysis versus Bayesian estimation
• Exact Renormalization Groups as a form of Entropic Dynamics
• Adaptive Bayesian phase estimation for quantum error correcting codes
• Real-time quantum state estimation in circuit QED via Bayesian approach
• Quantum parameter estimation with a neural network

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