Randomized benchmarking and process tomography for gate errors in a solid-state qubit

Abstract

We present measurements of single-qubit gate errors for a superconducting qubit. Results from quantum process tomography and randomized benchmarking are compared with gate errors obtained from a double pi pulse experiment. Randomized benchmarking reveals a minimum average gate error of 1.1+/-0.3% and a simple exponential dependence of fidelity on the number of gates. It shows that the limits on gate fidelity are primarily imposed by qubit decoherence, in agreement with theory.

4 pages, 4 figures, plus supplementary material

References in corpus (19)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Dynamical suppression of decoherence in two-state quantum systems
• Coupling Superconducting Qubits via a Cavity Bus
• Quantum Computing with Very Noisy Devices
• Randomized Benchmarking of Quantum Gates
• Prescription for experimental determination of the dynamics of a quantum black box
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Controlling the spontaneous emission of a superconducting transmon qubit
• Quantum process tomography of a controlled-NOT gate
• Symmetrised Characterisation of Noisy Quantum Processes
• Realization of quantum process tomography in NMR
• Process tomography of ion trap quantum gates
• High-fidelity gates in a Josephson qubit
• Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing

Cited by in corpus (168)

• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Quantum information processing with superconducting circuits: a review
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Robust randomized benchmarking of quantum processes
• Characterizing Quantum Gates via Randomized Benchmarking
• Efficient measurement of quantum gate error by interleaved randomized benchmarking
• Deterministic Quantum State Transfer and Generation of Remote Entanglement using Microwave Photons
• Characterization of addressability by simultaneous randomized benchmarking
• Witnessing Quantum Coherence: from solid-state to biological systems
• Realization of Deterministic Quantum Teleportation with Solid State Qubits
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Quantum control and process tomography of a semiconductor quantum dot hybrid qubit
• High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Randomized benchmarking of single qubit gates in a 2D array of neutral atom qubits
• Implementing optimal control pulse shaping for improved single-qubit gates
• Process verification of two-qubit quantum gates by randomized benchmarking
• Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings
• Control and Tomography of a Three Level Superconducting Artificial Atom
• Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
• Quantum computing on encrypted data
• Three Qubit Randomized Benchmarking
• Characterizing errors on qubit operations via iterative randomized benchmarking
• Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
• Quantifying the quantum gate fidelity of single-atom spin qubits in silicon by randomized benchmarking
• Robust shadow estimation
• Investigating the limits of randomized benchmarking protocols
• Random access quantum information processors
• Reduced phase error through optimized control of a superconducting qubit
• Benchmarking Gate Fidelities in a Si/SiGe Two-Qubit Device
• Adaptive hybrid optimal quantum control for imprecisely characterized systems
• Universal fast flux control of a coherent, low-frequency qubit
• Comparing Experiments to the Fault-Tolerance Threshold
• Randomized Benchmarking of Multi-Qubit Gates
• Robust Calibration of a Universal Single-Qubit Gate-Set via Robust Phase Estimation
• Entanglement Metrology Using a Joint Readout of Superconducting Qubits
• Optimal control methods for fast time-varying Hamiltonians
• Life after charge noise: recent results with transmon qubits
• Measurements of Quasiparticle Tunneling Dynamics in a Bandgap-Engineered Transmon Qubit
• Arbitrary Control of Entanglement between Two Superconducting Resonators
• Circuit QED and engineering charge based superconducting qubits
• Improving quantum gate fidelities by using a qubit to measure microwave pulse distortions
• Detecting and tracking drift in quantum information processors
• Quantum process tomography of unitary and near-unitary maps
• High fidelity resonant gating of a silicon based quantum dot hybrid qubit
• Operational approach to open dynamics and quantifying initial correlations
• Single qubit gates in frequency-crowded transmon systems
• The experimental realization of high-fidelity `shortcut-to-adiabaticity' quantum gates in a superconducting Xmon qubit
• Benchmarking gate-based quantum computers
• High-fidelity measurement of qubits encoded in multilevel superconducting circuits
• The effect of noise correlations on randomized benchmarking
• Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
• Spin dynamics in a strongly driven system: very slow Rabi oscillations
• Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
• Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
• An introduction to operational quantum dynamics
• Compressed sensing quantum process tomography for superconducting quantum gates
• Non-exponential Fidelity Decay in Randomized Benchmarking with Low-Frequency Noise
• Error analysis in suppression of unwanted qubit interactions for a parametric gate in a tunable superconducting circuit
• Fast logic with slow qubits: microwave-activated controlled-Z gate on low-frequency fluxoniums
• Optimization of a solid-state electron spin qubit using Gate Set Tomography
• Experimental Estimation of Average Fidelity of a Clifford Gate on a 7-qubit Quantum Processor
• Randomized benchmarking of atomic qubits in an optical lattice
• Reducing leakage of single-qubit gates for superconducting quantum processors using analytical control pulse envelopes
• Counteracting systems of diabaticities using DRAG controls: The status after 10 years
• Simultaneous execution of quantum circuits on current and near-future NISQ systems
• High-Fidelity Single-Qubit Gates for Two-Electron Spin Qubits in GaAs
• Dispersive Qubit Measurement by Interferometry with Parametric Amplifiers
• High-fidelity software-defined quantum logic on a superconducting qudit
• Practical experimental certification of computational quantum gates via twirling
• Universal gates for protected superconducting qubits using optimal control
• Real Randomized Benchmarking
• Error per single-qubit gate below $10^{-4}$ in a superconducting qubit
• Accelerated Randomized Benchmarking
• The SMART protocol -- Pulse engineering of a global field for robust and universal quantum computation
• Quantum Computing: An Overview Across the System Stack
• Simultaneous gates in frequency-crowded multilevel systems using fast, robust, analytic control shapes
• Experimental realization of a fast controlled-Z gate via a shortcut-to-adiabaticity
• No-go theorems for quantum resource purification II: new approach and channel theory
• Optimal dispersive readout of a spin qubit with a microwave resonator
• Entanglement degradation in the solid state: interplay of adiabatic and quantum noise
• A programmable three-qubit superconducting processor with all-to-all connectivity
• The role of preparation in quantum process tomography
• Implementation of pairwise longitudinal coupling in a three-qubit superconducting circuit
• High Coherence in a Tileable 3D Integrated Superconducting Circuit Architecture
• Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit
• Projected Least-Squares Quantum Process Tomography
• High fidelity feed-back assisted parity measurement in circuit QED
• Randomized Benchmarking with Restricted Gate Sets
• Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
• Microwave-Activated Controlled-Z Gate for Fixed-Frequency Fluxonium Qubits
• Robust and efficient in situ quantum control
• Experimental demonstration of selective quantum process tomography on an NMR quantum information processor
• Randomized Benchmarking using Non-Destructive Readout in a 2D Atom Array
• Approximate Randomized Benchmarking for Finite Groups
• Optimal linear optical implementation of a single-qubit damping channel
• Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States
• Superconducting qubits on silicon substrates for quantum device integration
• Bootstrap tomography of high-precision pulses for quantum control
• Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
• Fast high-fidelity gates for galvanically-coupled fluxonium qubits using strong flux modulation
• Progress toward scalable tomography of quantum maps using twirling-based methods and information hierarchies
• Steering random spin systems to speed up the quantum adiabatic algorithm
• Storage of polarization-entangled THz-bandwidth photons in a diamond quantum memory
• Proposal for entangling gates on fluxonium qubits via a two-photon transition
• Single-Shot Quantum Process Tomography
• Experimental Demonstration of Quantum Fully Homomorphic Encryption with Application in a Two-Party Secure Protocol
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips
• Quantum Model Averaging
• Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor
• High-Fidelity Entangling Gates for Quantum-Dot Hybrid Qubits Based on Exchange Interactions
• High Fidelity Quantum Gates in the Presence of Dispersion
• Predominant Aspects on Security for Quantum Machine Learning: Literature Review
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Performance optimization for drift-robust fidelity improvement of two-qubit gates
• Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states
• Randomized benchmarking of quantum gates implemented by electron spin resonance
• Development of Zero-Noise Extrapolated Projection Based Quantum Algorithm for Accurate Evaluation of Molecular Energetics in Noisy Quantum Devices
• General error mitigation for quantum circuits
• Optimization of Controlled-Z Gate with Data-Driven Gradient Ascent Pulse Engineering in a Superconducting Qubit System
• Quantum computing with superconducting circuits in the picosecond regime
• Randomized Benchmarking as Convolution: Fourier Analysis of Gate Dependent Errors
• Practical and reliable error bars for quantum process tomography
• Multi-frequency control pulses for multi-level superconducting quantum circuits
• Time-optimal performance of Josephson charge qubits: A process tomography approach
• Benchmarking quantum gates and circuits
• Fast Flux Entangling Gate for Fluxonium Circuits
• Experimental Implementation of Efficient Quantum Pseudorandomness on a 12-spin System
• Multi-mode superconducting circuits for realizing strongly coupled multi-qubit processor units
• Doubled Color Codes
• Exploiting dynamic quantum circuits in a quantum algorithm with superconducting qubits
• Zero noise extrapolation on logical qubits by scaling the error correction code distance
• Experimental demonstration of a high-fidelity virtual two-qubit gate
• Spectral measurement of the thermal excitation of a superconducting qubit
• Error characterization in Quantum Information Processing: a protocol for analyzing spatial correlations and its experimental implementation
• Randomized Benchmarking of Clifford Operators
• Comparing randomized benchmarking figure with average infidelity of quantum gate-set
• Testing randomness with photons
• Scalable evaluation of quantum-circuit error loss using Clifford sampling
• Efficient creation of multipartite entanglement in flux qubits
• Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver
• Learning a quantum channel from its steady-state
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• The superconducting circuit companion -- an introduction with worked examples
• Scalable fast benchmarking for individual quantum gates with local twirling
• Coherent randomized benchmarking
• On the robustness of the hybrid qubit computational gates through simulated randomized benchmarking protocols
• Decay of nonlocality due to adiabatic and quantum noise in the solid state
• Effect of Decoherence for Gate Operations on a Superconducting Bosonic Qubit
• Efficient experimental characterization of quantum processes via compressed sensing on an NMR quantum processor
• Decoherence and Quantum Error Correction for Quantum Computing and Communications
• Quantum process tomography of continuous-variable gates using coherent states
• Exact quantum dynamics for two-level systems with time-dependent driving
• Accelerating complex control schemes on a heterogeneous MPSoC platform for quantum computing
• Fidelity Relations in an Array of Neutral Atom Qubits -- Experimental Validation of Control Noise
• Strongly anharmonic flux-tunable transmon based on InAs-Al 2D heterostructure
• Accurate Qubit Control with Single Flux Quantum Pulses
• Equilibration and Typicality in Quantum Processes
• Relative resilience to noise of standard and sequential approaches to measurement-based quantum computation
• Ancilla Assisted Quantum Information Processing: General protocols and NMR implementations
• Simulated Randomized Benchmarking of a Dynamically Corrected Cross-Resonance Gate
• Purity benchmarking study of error coherence in a single Xmon qubit
• Quantum Process Tomography with Digital Twins of Error Matrices
• Blind-spots of Randomized Benchmarking Under Temporal Correlations
• Spectral analysis of the Koopman operator as a framework for recovering Hamiltonian parameters in open quantum systems