Application of adiabatic passage in Rydberg atomic ensembles for quantum information processing

Abstract

We review methods for coherently controlling Rydberg quantum states of atomic ensembles using Adiabatic Rapid Passage and Stimulated Raman Adiabatic Passage. These methods are commonly used for population inversion in simple two-level and three-level systems. We show that adiabatic techniques allow us to control population and phase dynamics of complex entangled states of mesoscopic atomic ensembles for quantum information processing with Rydberg atoms. We also propose several schemes of single-qubit and two-qubit gates based on adiabatic passage, Rydberg blockade and Förster resonances in Rydberg atoms.

Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

“…A variety of error sources limit gate fidelities in experiments, including imperfect Rydberg blockades, decay of the Rydberg state, scattering of an intermediate state in a two photon transition, laser phase noise, variations of the laser intensity with the position of the atom in the trap and Doppler shifts of the laser frequency due to thermal motion of the atoms [22,27,28]. To mitigate the effects of these errors, many different improvements of the original protocol [18] have been proposed based on adiabatic passage [29][30][31][32][33][34], dark state mechanisms [35], Rydberg Antiblockade [34,36,37], and many other approaches [19,[38][39][40][41]. It is increasingly recognized that all these approaches can benefit from quantum optimal control methods to improve both the speed and fidelities of the various quantum gates.…”

Atomic interactions for qubit-error compensations

“…Phase correlation destructions and revivals in the time evolution of dipoleblockaded Rydberg states have been investigated under continuous detuned excitation in [14], and for periodic excitation by [15] within the context of discrete time crystals. The quantum control of the phase accumulated by laser driving for interacting Rydberg atoms was studied in [7,8]. An analysis of laser imperfections in the coherent excitation to atomic Rydberg states was experimentally investigated in [12].…”

Multiple-qubit Rydberg quantum logic gate via dressed-states scheme

“…They can be divided as following categories. For the phase used to construct gate, there are dynamical gates [18,[32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]and geometric gate [49][50][51][52][53][54][55][56][57]. According to the method for constructing interaction among atoms, they could be divided as blockade [32][33][34][35][36][37][45][46][47][48][49][50][51][52][53][54][55][56][57], antiblockade [17,39,58], dipolediploe resonant interaction [41] o...…”