Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Abstract

In this paper, we propose a scheme for implementing the nonadiabatic holonomic quantum computation (NHQC+) of two Rydberg atoms by using invariant-based reverse engineering (IBRE). The scheme is based on Förster resonance induced by strong dipole-dipole interaction between two Rydberg atoms, which provides a selective coupling mechanism to simply the dynamics of system. Moreover, for improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness against systematic errors. Numerical simulations show the scheme is robust against the random noise in control fields, the deviation of dipole-dipole interaction, the Förster defect, and the spontaneous emission of atoms. Therefore, the scheme may provide some useful perspectives for the realization of quantum computation with 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.…”