Shaped Terahertz Pulses for a Quantum Algorithm in a Rydberg Atom

Lei Hou, Qihui He, Junnan Wang +4 more

R. J. A. Murray, Chitra Rangan

Jun Wan, Bin Zhang, Xianzhe Li +6 more

Christopher G. Wade, Nikola Šibalić, Jorge Douglas Massayuki Kondo +3 more

Chitra Rangan, P. H. Bucksbaum

We employ optimal control theory to discover an efficient information-retrieval algorithm that can be performed on a Rydberg-atom data register using a shaped terahertz pulse. The register is a Rydberg wave packet with one consituent orbital phase reversed from the others (the ``marked bit''). The terahertz pulse that performs the decoding algorithm does so by driving electron probability density into the marked orbital. Its shape is calculated by modifying the target of an optimal-control problem so that it represents the direct product of all correct solutions to the algorithm.

C. Rangan, Jaewook Ahn, D. N. Hutchinson +1 more

It is shown that Grover's search algorithm can be implemented on a Rydberg atom data register using a short terahertz half-cycle pulse. Using optimal control theory, a shaped terahertz pulse is designed that can perform the search algorithm better than an unshaped half-cycle pulse. Starting from an initial wave packet, it is shown that it is possible to use the search algorithm to synthesize single-energy eigenstates.