Fast and robust creation of an arbitrary single qubit state by nonadiabatic shortcut pulses in a three-level system

Abstract

High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is challenging in quantum systems, where qubits are closely spaced in frequency. Motivated by the concept of shortcut to adiabaticity, we theoretically propose the shortcut pulses via inverse engineering and further optimize the pulses with respect to systematic errors in frequency detuning and Rabi frequency. Such protocol, relevant to frequency selectivity, is applied to rare-earth ions qubit system, where the excitation of frequency-neighboring qubits should be prevented as well. Furthermore, comparison with adiabatic complex hyperbolic secant pulses shows that these dedicated initialization pulses can reduce the time that ions spend in the excited state by a factor of 6, which is important in coherence time limited systems to approach an error rate manageable by quantum error correction. The approach may also be applicable to superconducting qubits, and any other systems where qubits are addressed in frequency.

arXiv comment15 pages, 9 figures

References in corpus (23)

• Surface codes: Towards practical large-scale quantum computation
• Fast optimal frictionless atom cooling in harmonic traps
• Shortcut to adiabatic passage in two and three level atoms
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Robust quantum control by shaped pulse
• Speeding up adiabatic quantum state transfer by using dressed states
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Fast population transfer engineering of three-level systems
• Fast-forward of adiabatic dynamics in quantum mechanics
• Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
• Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
• Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping
• Analytical modeling of parametrically-modulated transmon qubits
• Smooth optimal quantum control for robust solid state spin magnetometry
• Experimental quantum state tomography of a solid state qubit
• Dynamical invariants for quantum control of four-level systems
• Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control
• Hamiltonian design to prepare arbitrary states of four-level systems
• Qubit gates with simultaneous transport in double quantum dots
• Shortcut to Adiabatic Passage in a Waveguide Coupler with Allen-Eberly scheme
• High fidelity readout scheme for rare-earth solid state quantum computing
• Relations between the single-pass and double-pass transition probabilities in quantum systems with two and three states

Cited by in corpus (8)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Speed-up Quantum Perceptron via Shortcuts to Adiabaticity
• Experimental implementation of precisely tailored light-matter interaction via inverse engineering
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Fast quantum state transfer and entanglement for cavity-coupled many qubits via dark pathways
• Engineering of the qubit initialization in an imperfect physical system
• Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals
• One-Way Quantum Repeater with Rare-Earth-Ions Doped in Solids