Quantum computing with superconducting circuits in the picosecond regime
arXiv:2101.05810 · doi:10.1103/PhysRevApplied.16.014024
Abstract
We discuss the realization of a universal set of ultrafast single- and two-qubit operations with superconducting quantum circuits and investigate the most relevant physical and technical limitations that arise when pushing for faster and faster gates. With the help of numerical optimization techniques, we establish a fundamental bound on the minimal gate time, which is determined independently of the qubit design solely by its nonlinearity. In addition, important practical restrictions arise from the finite qubit transition frequency and the limited bandwidth of the control pulses. We show that for highly anharmonic flux qubits and commercially available control electronics, elementary single- and two-qubit operations can be implemented in about 100 picoseconds with residual gate errors below . Under the same conditions, we simulate the complete execution of a compressed version of Shor's algorithm for factoring the number 15 in about one nanosecond. These results demonstrate that compared to state-of-the-art implementations with transmon qubits, a hundredfold increase in the speed of gate operations with superconducting circuits is still feasible.
arXiv comment16 pages, 13 figures
References in corpus (43)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Charge insensitive qubit design derived from the Cooper pair box
- A Quantum Engineer's Guide to Superconducting Qubits
- Superconducting Qubits: Current State of Play
- State preservation by repetitive error detection in a superconducting quantum circuit
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Training Schrödinger's cat: quantum optimal control
- Demonstration of conditional gate operation using superconducting charge qubits
- The Flux Qubit Revisited to Enhance Coherence and Reproducibility
- Realization of a scalable Shor algorithm
- Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
- Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
- Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
- Randomized benchmarking and process tomography for gate errors in a solid-state qubit
- Implementing optimal control pulse shaping for improved single-qubit gates
- Ultrafast Quantum Gates in Circuit QED
- QuantumOptics.jl: A Julia framework for simulating open quantum systems
- Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
- Leakage reduction in fast superconducting qubit gates via optimal control
- Reduced phase error through optimized control of a superconducting qubit
- Speedup for quantum optimal control from automatic differentiation based on graphics processing units
- Robust optimal quantum gates for Josephson charge qubits
- Optimal Control of Coupled Josephson Qubits
- Observation of Floquet states in a strongly driven artificial atom
- Improving frequency selection of driven pulses using derivative-based transition suppression
- Gradient-based optimal control of open quantum systems using quantum trajectories and automatic differentiation
- Single qubit gates in frequency-crowded transmon systems
- Charting the circuit QED design landscape using optimal control theory
- Optimal control of a leaking qubit
- Optimized controlled Z gates for two superconducting qubits coupled through a resonator
- Optimal Qubit Control Using Single-Flux Quantum Pulses
- Counteracting systems of diabaticities using DRAG controls: The status after 10 years
- Optimizing for an arbitrary perfect entangler: I. Functionals
- Optimized cross-resonance gate for coupled transmon systems
- Universal gates for protected superconducting qubits using optimal control
- Optimizing for an arbitrary perfect entangler. II. Application
- Simultaneous gates in frequency-crowded multilevel systems using fast, robust, analytic control shapes
- Hybrid Optimization Schemes for Quantum Control
- Optimized single-qubit gates for Josephson phase qubits
- Quantum optimal control using phase-modulated driving fields
- Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
- Quantum control of frequency tunable transmon superconducting qubits
Cited by in corpus (8)
- Reducing leakage of single-qubit gates for superconducting quantum processors using analytical control pulse envelopes
- Speed limits for two-qubit gates with weakly anharmonic qubits
- Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
- Exploring ab initio machine synthesis of quantum circuits
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Leakage in restless quantum gate calibration
- Parameter optimization for the unimon qubit
- Robust quantized thermal conductance of Majorana floating edge bands in d-wave superconductors