Abstract
Entangled states are crucial for modern quantum enabled technology which makes their creation key for future developments. In this paper, a robust quantum control methodology is presented to create entangled states of two typical classes, the W and the Greenberger–Horne–Zeilinger (GHZ). It was developed from the analysis of a chain of alkali atoms ^{87}Rb interaction with laser pulses, which leads to the two-photon transitions from the ground to the Rydberg states with a predetermined magnetic quantum number. The methodology is based on the mechanism of the two-photon excitation, adiabatic for the GHZ and non-adiabatic for the W state, induced by the overlapping chirped pulses and governed by the Rabi frequency, the one-photon detuning, and the strength of the Rydberg–Rydberg interactions.
Highlights
Entangled states are crucial for modern quantum enabled technology which makes their creation key for future developments
There has been a number of proposals to generate the GHZ and the W entangled states with electron or nuclear spin systems in a variety of arrangements. In12 such states are generated on nuclear spins by the global control method implying transverse magnetic fields and using an optimization procedure for the spin rotation and free evolution parameters
The Rabi frequency was less than the interaction strength of two Rydberg atoms on neighboring sites resulting in the Rydberg blockade forbidding the excitation of the adjacent atoms to the Rydberg state
Summary
Entangled states are crucial for modern quantum enabled technology which makes their creation key for future developments.
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