Robust quantum control using smooth pulses and topological winding

Abstract

The greatest challenge in achieving the high level of control needed for future technologies based on coherent quantum systems is the decoherence induced by the environment. Here, we present an analytical approach that yields explicit constraints on the driving field which are necessary and sufficient to ensure that the leading-order noise-induced errors in a qubit's evolution cancel exactly. We derive constraints for two of the most common types of noise that arise in qubits: slow fluctuations of the qubit energy splitting and fluctuations in the driving field itself. By theoretically recasting a phase in the qubit's wavefunction as a topological winding number, we can satisfy the noise-cancelation conditions by adjusting driving field parameters without altering the target state or quantum evolution. We demonstrate our method by constructing robust quantum gates for two types of spin qubit: phosphorous donors in silicon and nitrogen-vacancy centers in diamond.

21 pages, 3 figures, v3: published version

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Cited by in corpus (28)

• High-fidelity quantum gates in Si/SiGe double quantum dots
• Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
• The fastest pulses that implement dynamically corrected gates
• The SMART protocol -- Pulse engineering of a global field for robust and universal quantum computation
• Doubly geometric quantum control
• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
• Robust single-qubit gates by composite pulses in three-level systems
• General solution to inhomogeneous dephasing and smooth pulse dynamical decoupling
• Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
• Robust quantum gates using smooth pulses and physics-informed neural networks
• Analytically parameterized solutions for robust quantum control using smooth pulses
• Pulse sequences for suppressing leakage in single-qubit gate operations
• Transporting a single-spin qubit through a double quantum dot
• Improving the gate fidelity of capacitively coupled spin qubits
• Pulse sequence designed for robust C-phase gates in SiMOS and Si/SiGe double quantum dots
• Fast control of semiconductor qubits beyond the rotating-wave approximation
• Noise-resistant Landau-Zener sweeps from geometrical curves
• Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
• Statistically Characterising Robustness and Fidelity of Quantum Controls and Quantum Control Algorithms
• In situ upgrade of quantum simulators to universal computers
• Robust implementation of quantum gates despite always-on exchange coupling in silicon double quantum dots
• Noise-induced collective quantum state preservation in spin qubit arrays
• Single-tone pulse sequences and robust two-tone shaped pulses for three silicon spin qubits with always-on exchange
• Conditions allowing error correction in driven qubits
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
• Robust controllability of two-qubit Hamiltonian dynamics
• Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond