Grover search algorithm with Rydberg-blockaded atoms: quantum Monte Carlo simulations

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D. Petrosyan, M. Saffman, K. Mølmer


J. Phys. B 49, 094004 (2016)

We consider the Grover search algorithm implementation for a quantum register of size $N={2}^{k}$ using k (or $k+1$) microwave- and laser-driven Rydberg-blockaded atoms, following the proposal by Mølmer et al (2011 J. Phys. B 44 184016). We suggest some simplifications for the microwave and laser couplings, and analyze the performance of the algorithm for up to k = 4 multilevel atoms under realistic experimental conditions using quantum stochastic (Monte Carlo) wavefunction simulations.