Operation and intrinsic error budget of a two-qubit cross-resonance gate

Abstract

We analyze analytically, semi-analytically, and numerically the operation of Cross-Resonance (CR) gate for superconducting qubits (transmons). We find that a relatively simple semi-analytical method gives accurate results for the CNOT-equivalent gate duration and compensating single-qubit rotations. It also allows us to minimize the CNOT gate duration over the amplitude of the applied microwave drive and find dependence on the detuning between the qubits. However, full numerical simulations are needed to calculate intrinsic fidelity of the CR gate. We decompose numerical infidelity into contributions from various physical mechanisms, thus finding the intrinsic error budget. In particular, at small drive amplitudes the CR gate fidelity is limited by imperfections of the target-qubit rotations, while at large amplitudes it is limited by leakage. The gate duration and fidelity are analyzed numerically as functions of the detuning between qubits, their coupling, drive frequency, relative duration of pulse ramps, and microwave crosstalk. The effect of the echo sequence is also analyzed numerically. Our results show that the CR gate can provide intrinsic infidelity of less than $10^{-3}$ when a simple pulse shape is used.

arXiv comment23 pages, 24 figures, effect of echo sequence analyzed in Appendix

References in corpus (35)

• Charge insensitive qubit design derived from the Cooper pair box
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• The Magnus expansion and some of its applications
• Coherent Josephson qubit suitable for scalable quantum integrated circuits
• The Flux Qubit Revisited to Enhance Coherence and Reproducibility
• Qubit architecture with high coherence and fast tunable coupling
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Procedure for systematically tuning up crosstalk in the cross resonance gate
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• A blueprint for demonstrating quantum supremacy with superconducting qubits
• Quantum control of surface acoustic wave phonons
• Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
• Deterministic Quantum State Transfer and Generation of Remote Entanglement using Microwave Photons
• Fidelity of quantum operations
• Observation of topological phenomena in a programmable lattice of 1,800 qubits
• To catch and reverse a quantum jump mid-flight
• Deterministic teleportation of a quantum gate between two logical qubits
• Process verification of two-qubit quantum gates by randomized benchmarking
• Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation
• Demonstration of weight-four parity measurements in the surface code architecture
• Microwave-induced coupling of superconducting qubits
• Dynamics of simultaneously measured non-commuting observables
• Information-to-work conversion by Maxwell's demon in a superconducting circuit-QED system
• Selective darkening of degenerate transitions demonstrated with two superconducting quantum bits
• Protecting a superconducting qubit from energy decay by selection rule engineering
• Purity and State Fidelity of Quantum Channels via Hamiltonians
• Optimized cross-resonance gate for coupled transmon systems
• Gate-error analysis in simulations of quantum computers with transmon qubits
• Analytical approach to swift nonleaky entangling gates in superconducting qubits
• Resonator/zero-Qubit architecture for superconducting qubits
• Optimal control of two qubits via a single cavity drive in circuit quantum electrodynamics
• Selective darkening of degenerate transitions for implementing quantum controlled-NOT gates

Cited by in corpus (53)

• Circuit Quantum Electrodynamics
• Quantum Information Scrambling in a Superconducting Qutrit Processor
• Effective Hamiltonian models of the cross-resonance gate
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• Scalable High-Performance Fluxonium Quantum Processor
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• Fast logic with slow qubits: microwave-activated controlled-Z gate on low-frequency fluxoniums
• Universal qudit gate synthesis for transmons
• Leakage detection for a transmon-based surface code
• A hardware-efficient leakage-reduction scheme for quantum error correction with superconducting transmon qubits
• High Coherence in a Tileable 3D Integrated Superconducting Circuit Architecture
• Optimizing frequency allocation for fixed-frequency superconducting quantum processors
• Mitigating off-resonant error in the cross-resonance gate
• Leakage mitigation for quantum error correction using a mixed qubit scheme
• Qudit Dynamical Decoupling on a Superconducting Quantum Processor
• Cross cross resonance gate
• High-Fidelity Control of Superconducting Qubits Using Direct Microwave Synthesis in Higher Nyquist Zones
• CNOT gates for fluxonium qubits via selective darkening of transitions
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• Experimental error suppression in Cross-Resonance gates via multi-derivative pulse shaping
• Speed limits for two-qubit gates with weakly anharmonic qubits
• Classical Chaos in Quantum Computers
• Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling
• Always-On Quantum Error Tracking with Continuous Parity Measurements
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• Post-fabrication frequency trimming of coplanar-waveguide resonators in circuit QED quantum processors
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• Microwave-based Arbitrary CPHASE Gates for Transmon Qubits
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• Microwave-activated gates between a fluxonium and a transmon qubit
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• Analogue Quantum Simulation with Fixed-Frequency Transmon Qubits
• Floquet Analysis of Frequency Collisions
• Fast ZZ-Free Entangling Gates for Superconducting Qubits Assisted by a Driven Resonator
• Efficient Lindblad synthesis for noise model construction
• Suppressing spurious transitions using spectrally balanced pulse
• Supercomputer simulations of transmon quantum computers
• Virtual Z gates and symmetric gate compilation
• Variational Quantum Gate Optimization at the Pulse Level
• Asymmetry of CNOT gate operation in superconducting transmon quantum processors using cross-resonance entangling
• Cross-resonance control of an oscillator with an auxiliary fluxonium qubit
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits
• Simulated Randomized Benchmarking of a Dynamically Corrected Cross-Resonance Gate