Simultaneous gates in frequency-crowded multilevel systems using fast, robust, analytic control shapes

Abstract

We present a few-parameter ansatz for pulses to implement a broad set of simultaneous single-qubit rotations in frequency-crowded multilevel systems. Specifically, we consider a system of two qutrits whose working and leakage transitions suffer from spectral crowding (detuned by $\delta$). In order to achieve precise controllability, we make use of two driving fields (each having two quadratures) at two different tones to implement arbitrary simultaneous rotations. Expanding the waveforms in terms of Hanning windows, we show how analytic pulses containing smooth and composite-pulse features can easily achieve gate errors less than $10^{-4}$ and considerably outperform known adiabatic techniques. Moreover, we find a generalization of the WahWah method by Schutjens et al. [Phys. Rev. A 88, 052330 (2013)] that allows precise separate single-qubit rotations for all gate times beyond a quantum speed limit. We find in all cases a quantum speed limit slightly below $2\pi /\delta$ for the gate time and show that our pulses are robust against variations in system parameters and filtering due to transfer functions, making them suitable for experimental implementations.

12 pages, 10 figures

References in corpus (18)

• Charge insensitive qubit design derived from the Cooper pair box
• Circuit Quantum Electrodynamics
• Quantum computing with trapped ions
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• The Magnus expansion and some of its applications
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Quantum information processing with circuit quantum electrodynamics
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• 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
• Quantum Computing with NMR
• Bounding quantum gate error rate based on reported average fidelity
• Analytical approach to swift nonleaky entangling gates in superconducting qubits
• Ultracold molecules: vehicles to scalable quantum information processing
• Efficient vibrational state coupling in an optical tilted-washboard potential via multiple spatial translations and application to pulse echo
• Mitigating information leakage in a crowded spectrum of weakly anharmonic qubits
• Circuit Quantum Electrodynamics

Cited by in corpus (33)

• A Quantum Engineer's Guide to Superconducting Qubits
• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• High-fidelity Rydberg-blockade entangling gate using shaped, analytic pulses
• Charting the circuit QED design landscape using optimal control theory
• 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
• Optimized cross-resonance gate for coupled transmon systems
• Rydberg Quantum Gates Free from Blockade Error
• Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
• Learning robust control for generating universal quantum gates
• Error-robust quantum logic optimization using a cloud quantum computer interface
• Simulating and mitigating crosstalk
• Robustness of error-suppressing entangling gates in cavity-coupled transmon qubits
• Systematic study of High $E_J/E_C$ transmon qudits up to $d=12$
• Emulating two qubits with a four-level transmon qudit for variational quantum algorithms
• High-fidelity and robust two-qubit gates for quantum-dot spin qubits in silicon
• Quantum computing with superconducting circuits in the picosecond regime
• Continuous quantum gate sets and pulse class meta-optimization
• Microwave-based Arbitrary CPHASE Gates for Transmon Qubits
• Optimization of Pulses with Low Bandwidth for Improved Excitation of Multiple-Quantum Coherences in NMR of Quadrupolar Nuclei
• Precisely controlling the reflection phase of a photon via a strongly-coupled ancilla dressed qubit
• Robust and efficient algorithms for high-dimensional black-box quantum optimization
• Minimal Time Robust Control for Two Superconducting Qubits
• Statistical analysis of variability properties of the Kepler blazar W2R 1926+42
• Suppressing spurious transitions using spectrally balanced pulse
• Coarse-grained effective Hamiltonian via the Magnus Expansion for a three-level system
• The resource cost of large scale quantum computing
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Parameter optimization for the unimon qubit
• Experimental Demonstration of Swift Analytical Universal Control over Nearby Transitions
• Parallel Driving for Fast Quantum Computing Under Speed Limits
• Hybrid quantum surface acoustic wave with skyrmion qubit for quantum information processing