Composite pulses with errant phases

Abstract

Composite pulses --- sequences of pulses with well defined relative phases --- are an efficient, robust and flexible technique for coherent control of quantum systems. Composite sequences can compensate a variety of experimental errors in the driving field (e.g. in the pulse amplitude, duration, detuning, chirp, etc.) or in the quantum system and its environment (e.g. inhomogeneous broadening, stray electric or magnetic fields, unwanted couplings, etc.). The control parameters are the relative phases between the constituent pulses in the composite sequence, an accurate control over which is required in all composite sequences reported hitherto. In this paper, we introduce two types of composite pulse sequences which, in addition to error compensation in the basic experimental parameters, compensate systematic errors in the composite phases. In the first type of such composite sequences, which compensate pulse area errors, relative phase errors of up to 10% can be tolerated with reasonably short sequences while maintaining the fidelity above the 99.99% quantum computing benchmark. In the second type of composite sequences, which compensate pulse area and detuning errors, relative phase errors of up to 5% can be compensated.

7 pages, 4 figures

References in corpus (14)

• Quantum computing with trapped ions
• Realization of the quantum Toffoli gate with trapped ions
• Quantum Computing with NMR
• Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
• Noise-resistant control for a spin qubit array
• Composite pulses for interferometry in a thermal cold atom cloud
• Robust CNOT gates from almost any interaction
• Concatenated composite pulses compensating simultaneous systematic errors
• Accurate Microwave Control and Real-Time Diagnostics of Neutral Atom Qubits
• Arbitrarily accurate variable rotations on the Bloch sphere by composite pulse sequences
• Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
• Robust high-fidelity coherent control of two-state systems by detuning pulses
• Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry
• Variable Ultra-broadband and Narrowband Composite Polarization Retarders

Cited by in corpus (12)

• Robust single-qubit gates by composite pulses in three-level systems
• Ultrahigh-fidelity composite rotational quantum gates
• Narrowband and passband composite pulses for variable rotations
• Robust population inversion in three-level systems by composite pulses
• Composite pulses for high fidelity population transfer in three-level systems
• Robust two-state swap by stimulated Raman adiabatic passage
• Drive-noise tolerant optical switching inspired by composite pulses
• Quantum Gates Robust to Secular Amplitude Drifts
• Three-state coherent control using narrowband and passband sequences
• General, efficient, and robust Hamiltonian engineering
• SU(2) hyper-clocks: quantum engineering of spinor interferences for time and frequency metrology
• In situ magnetic-field stabilization for quantum-gas experiments