Robust control of quantum gates via sequential convex programming

Abstract

Resource tradeoffs can often be established by solving an appropriate robust optimization problem for a variety of scenarios involving constraints on optimization variables and uncertainties. Using an approach based on sequential convex programming, we demonstrate that quantum gate transformations can be made substantially robust against uncertainties while simultaneously using limited resources of control amplitude and bandwidth. Achieving such a high degree of robustness requires a quantitative model that specifies the range and character of the uncertainties. Using a model of a controlled one-qubit system for illustrative simulations, we identify robust control fields for a universal gate set and explore the tradeoff between the worst-case gate fidelity and the field fluence. Our results demonstrate that, even for this simple model, there exist a rich variety of control design possibilities. In addition, we study the effect of noise represented by a stochastic uncertainty model.

13 pages, 3 figures; published version

References in corpus (15)

• Composite pulses for robust universal control of singlet-triplet qubits
• Arbitrary quantum control of qubits in the presence of universal noise
• Robust optimal quantum gates for Josephson charge qubits
• Are there traps in quantum control landscapes?
• Application of Optimal Control to CPMG Refocusing Pulse Design
• Fast, high fidelity information transmission through spin chain quantum wires
• Trap-free manipulation in the Landau-Zener system
• Robust quantum gates and a bus architecture for quantum computing with rare-earth-ion doped crystals
• Optimized Dynamical Decoupling via Genetic Algorithms
• Optimal Control for Open Quantum Systems: Qubits and Quantum Gates
• Implementing Quantum Gates by Optimal Control with Doubly Exponential Convergence
• A precise CNOT gate in the presence of large fabrication induced variations of the exchange interaction strength
• Control of Inhomogeneous Ensembles on The Bloch Sphere
• Designing robust gate implementations for quantum information processing
• Comparative study of monotonically convergent optimization algorithms for the control of molecular rotation

Cited by in corpus (59)

• Speedup for quantum optimal control from automatic differentiation based on graphics processing units
• When does reinforcement learning stand out in quantum control? A comparative study on state preparation
• From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• Rapid Lyapunov control of finite-dimensional quantum systems
• Robustness of composite pulses to time-dependent control noise
• Robust manipulation of superconducting qubits in the presence of fluctuations
• Sampling-based Learning Control for Quantum Systems with Uncertainties
• Robust Learning Control Design for Quantum Unitary Transformations
• High-Fidelity Single-Qubit Gates for Two-Electron Spin Qubits in GaAs
• Learning robust control for generating universal quantum gates
• Robust Quantum Control in Games: an Adversarial Learning Approach
• Neural-network-designed pulse sequences for robust control of singlet-triplet qubits
• Robust and efficient in situ quantum control
• Achieving robust and high-fidelity quantum control via spectral phase optimization
• Characterization of control noise effects in optimal quantum unitary dynamics
• Exploring adiabatic quantum trajectories via optimal control
• Optimal control of two qubits via a single cavity drive in circuit quantum electrodynamics
• Robust quantum gates for stochastic time-varying noise
• Policy Gradient based Quantum Approximate Optimization Algorithm
• Searching for quantum optimal controls under severe constraints
• Universal Set of Quantum Gates for Double-Dot Exchange-Only Spin Qubits with Intradot Coupling
• Noise-compensating pulses for electrostatically controlled silicon spin qubits
• Stochastic learning control of inhomogeneous quantum ensembles
• Noise filtering of composite pulses for singlet-triplet qubits
• Robust Control of Quantum Dynamics under Input and Parameter Uncertainty
• Robust population inversion in three-level systems by composite pulses
• High-fidelity and robust two-qubit gates for quantum-dot spin qubits in silicon
• Fast pulse sequences for dynamically corrected gates in single-triplet qubits
• Crosstalk-Robust Quantum Control in Multimode Bosonic Systems
• Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
• Jonckheere-Terpstra test for nonclassical error versus log-sensitivity relationship of quantum spin network controllers
• Self-Consistent Calibration of Quantum Gate Sets
• Optimal amplification of the dynamical Casimir effect in a parametrically driven system
• Risk-sensitive Optimization for Robust Quantum Controls
• Robust two-level system control by a detuned and chirped laser pulse
• Quantum Control Landscape of Bipartite Systems
• Limits of optimal control yields achievable with quantum controllers
• Robustness of Controlled Quantum Dynamics
• Robust Control Optimization for Quantum Approximate Optimization Algorithm
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Application of the Pontryagin Maximum Principle to the robust time-optimal control of two-level quantum systems
• Minimal Time Robust Control for Two Superconducting Qubits
• Bringing Quantum Systems under Control: A Tutorial Invitation to Quantum Computing and Its Relation to Bilinear Control Systems
• Robust controllability of two-qubit Hamiltonian dynamics
• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
• Optimal Control of Spin Qudits Subject to Decoherence Using Amplitude-and-Frequency-Constrained Pulses
• Local Gradient Optimization of Modular Entangling Sequences
• Hamiltonian Switching Control of Noisy Bipartite Qubit Systems
• Local gradient optimization of leakage-suppressing entangling sequences
• Minimal Non-orthogonal Gate Decomposition for Qubits with Limited Control
• Quantum Optimal Control via Magnus Expansion and Non-Commutative Polynomial Optimization
• Robust implicit quantum control of interacting spin chains
• An automated geometric space curve approach for designing dynamically corrected gates
• Engineering Precise and Robust Effective Hamiltonians
• Fault-tolerant Coherent H-infinity Control for Linear Quantum Systems
• Binary Quantum Control Optimization with Uncertain Hamiltonians
• High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering
• Geometric Interpretation of Sensitivity to Structured Uncertainties in Spintronic Networks