Automated Synthesis of Dynamically Corrected Quantum Gates

Abstract

We address the problem of constructing dynamically corrected gates for non-Markovian open quantum systems in settings where limitations on the available control inputs and/or the presence of control noise make existing analytical approaches unfeasible. By focusing on the important case of singlet-triplet electron spin qubits, we show how ideas from optimal control theory may be used to automate the synthesis of dynamically corrected gates that simultaneously minimize the system's sensitivity against both decoherence and control errors. Explicit sequences for effecting robust single-qubit rotations subject to realistic timing and pulse-shaping constraints are provided, which can deliver substantially improved gate fidelity for state-of-the-art experimental capabilities.

5 pages; further restructure and expansion

References in corpus (8)

• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Local observation of antibunching in a trapped Fermi gas
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• Distance Bounds on Quantum Dynamics

Cited by in corpus (39)

• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• An information theoretical analysis of quantum optimal control
• Noise-resistant control for a spin qubit array
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• Robustness of composite pulses to time-dependent control noise
• Noise-resilient quantum evolution steered by dynamical decoupling
• Long-time Low-latency Quantum Memory by Dynamical Decoupling
• High-Fidelity Single-Qubit Gates for Two-Electron Spin Qubits in GaAs
• Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
• The fastest pulses that implement dynamically corrected gates
• Robust quantum control using smooth pulses and topological winding
• Optimally band-limited spectroscopy of control noise using a qubit sensor
• Dynamical suppression of unwanted transition paths in multistate quantum systems
• Cooperative pulses in robust quantum control: Application to broadband Ramsey-type pulse sequence elements
• Neural-network-designed pulse sequences for robust control of singlet-triplet qubits
• Dynamically corrected gates for an exchange-only qubit
• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
• Universally Robust Quantum Control
• Characterization of control noise effects in optimal quantum unitary dynamics
• Robust quantum gates for stochastic time-varying noise
• Frame-Based Filter-Function Formalism for Quantum Characterization and Control
• Noise-compensating pulses for electrostatically controlled silicon spin qubits
• Directly accessible entangling gates for capacitively coupled singlet-triplet qubits
• Noise filtering of composite pulses for singlet-triplet qubits
• Environmental noise effects on entanglement fidelity of exchange-coupled semiconductor spin qubits
• Hamiltonian Engineering with Constrained Optimization for Quantum Sensing and Control
• Resource-efficient digital characterization and control of classical non-Gaussian noise
• Hamiltonian quantum simulation with bounded-strength controls
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
• Feedback-tuned noise-resilient gates for encoded spin qubits
• Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• High-fidelity two-qubit gates via dynamical decoupling of local 1/f noise at optimal point
• Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
• Minimal Time Robust Control for Two Superconducting Qubits
• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
• A functional basis for efficient physical-layer classical control in quantum processors
• An automated geometric space curve approach for designing dynamically corrected gates