Optimized pulse shapes for a resonator-induced phase gate
arXiv:1411.5436 · doi:10.1103/PhysRevA.91.032325
Abstract
The resonator-induced phase gate is a multi-qubit controlled-phase gate for fixed-frequency superconducting qubits. Through off-resonant driving of a bus resonator, statically coupled qubits acquire a state-dependent phase. However, photon loss leads to dephasing during the gate, and any residual entanglement between the resonator and qubits after the gate leads to decoherence. Here we consider how to shape the drive pulse to minimize these unwanted effects. First, we review how the gate's entangling and dephasing rates depend on the system parameters and validate closed-form solutions against direct numerical solution of a master equation. Next, we propose spline pulse shapes that reduce residual qubit-bus entanglement, are robust to imprecise knowledge of the resonator shift, and can be shortened by using higher-degree polynomials. Finally, we present a procedure that optimizes over the subspace of pulses that leave the resonator unpopulated. This finds shaped drive pulses that further reduce the gate duration. Assuming realistic parameters, we exhibit shaped pulses that have the potential to realize ~212 ns spline pulse gates and ~120 ns optimized gates with ~6e-4 average gate infidelity. These examples do not represent fundamental limits of the gate and in principle even shorter gates may be achievable.
13 pages, 10 figures
References in corpus (25)
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Fault-tolerant quantum computation with high threshold in two dimensions
- Decoherence in Josephson Qubits from Dielectric Loss
- A simple formula for the average gate fidelity of a quantum dynamical operation
- A simple all-microwave entangling gate for fixed-frequency superconducting qubits
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- Decoherence of flux qubits due to 1/f flux noise
- Characterization of addressability by simultaneous randomized benchmarking
- Implementing a strand of a scalable fault-tolerant quantum computing fabric
- Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
- Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits
- Process verification of two-qubit quantum gates by randomized benchmarking
- Quantum logic gates for coupled superconducting phase qubits
- Microwave-induced coupling of superconducting qubits
- Entanglement of two superconducting qubits in a waveguide cavity via monochromatic two-photon excitation
- Microwave-activated conditional-phase gate for superconducting qubits
- Characterization of a two-transmon processor with individual single-shot qubit readout
- Demonstration of a Tuneable Coupler for Superconducting Qubits Using Coherent, Time Domain, Two-Qubit Operations
- Quantum process tomography of two-qubit controlled-Z and controlled-NOT gates using superconducting phase qubits
- Quantum accuracy threshold for concatenated distance-3 codes
- Entanglement genesis by ancilla-based parity measurement in 2D circuit QED
- Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator
- Quantifying the effects of local many-qubit errors and non-local two-qubit errors on the surface code
- Multi-frequency modes in superconducting resonators: Bridging frequency gaps in off-resonant couplings
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- Circuit Quantum Electrodynamics
- A Quantum Engineer's Guide to Superconducting Qubits
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- Quantum information processing with superconducting circuits: a review
- Training Schrödinger's cat: quantum optimal control
- Building logical qubits in a superconducting quantum computing system
- Superconducting Quantum Computing: A Review
- Deterministic teleportation of a quantum gate between two logical qubits
- Experimental demonstration of a resonator-induced phase gate in a multi-qubit circuit QED system
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- Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
- Phase-modulated entangling gates robust to static and time-varying errors
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- Optimized cross-resonance gate for coupled transmon systems
- Demonstration of an All-Microwave Controlled-Phase Gate between Far Detuned Qubits
- Error-robust quantum logic optimization using a cloud quantum computer interface
- Fast and High-Fidelity Entangling Gate through Parametrically Modulated Longitudinal Coupling
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- Resonator reset in circuit QED by optimal control for large open quantum systems
- Optimizing frequency allocation for fixed-frequency superconducting quantum processors
- Hybrid Optimization Schemes for Quantum Control
- Control and Coherence Time Enhancement of the 0- Qubit
- Measuring a transmon qubit in circuit QED: dressed squeezed states
- Quantum Optimal Control: Landscape Structure and Topology
- High resolution quantum sensing with shaped control pulses
- Demonstration of universal control between non-interacting qubits using the Quantum Zeno effect
- Optimal control of two qubits via a single cavity drive in circuit quantum electrodynamics
- Tunable Broadband Transparency of Macroscopic Quantum Superconducting Metamaterials
- Quantum oscillator noise spectroscopy via displaced cat states
- Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
- Implementation of a generalized CNOT gate between fixed-frequency transmons
- Modulated longitudinal gates on encoded spin-qubits via curvature couplings to a superconducting cavity
- Optimization of the resonator-induced phase gate for superconducting qubits
- Characterization of hidden modes in networks of superconducting qubits
- Optimal quantum control via genetic algorithms for quantum state engineering in driven-resonator mediated networks
- Long-Range Interaction via Resonator-Induced Phase in Superconducting Qubits
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- Efficient decoupling of a non-linear qubit mode from its environment
- A Multi-Qubit Quantum Gate Using the Zeno Effect
- Optimized continuous dynamical decoupling via differential geometry and machine learning
- Suppressed crosstalk between two-junction superconducting qubits with mode-selective exchange coupling
- Fast ZZ-Free Entangling Gates for Superconducting Qubits Assisted by a Driven Resonator
- Minimal Time Robust Control for Two Superconducting Qubits
- Tunable Hybrid-Mode Coupler Enabling Strong Interactions between Transmons at Centimeter-Scale Distance
- Scalable Low-overhead Superconducting Non-local Coupler with Exponentially Enhanced Connectivity
- Quasiparticle-induced decoherence of a driven superconducting qubit
- Review of Superconducting Qubit Devices and Their Large-Scale Integration
- Robust Oscillator-Mediated Phase Gates Driven by Low-Intensity Pulses
- Time-dependent Schrieffer-Wolff-Lindblad Perturbation Theory: measurement-induced dephasing and second-order Stark shift in dispersive readout