Dynamical stabilization of Grover's algorithm with embedded quantum codes
G. Alber, M. Mussinger, A. Delgado · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2001
Stabilizing quantum algorithms against external perturbations and preserving quantum coherence are main challenges in the area of quantum information processing. In this contribution main ideas underlying a new class of recently proposed embedded error-correcting quantum codes are discussed. These detected-jump correcting quantum codes are capable of stabilizing distinguishable qubits against spontaneous decay provided these decay processes originate from couplings to statistically independent reservoirs. Exploiting the classical information about which qubit has been affected by the environment these embedded quantum codes minimize the number of required control measurements and recovery operations as well as redundancy. Their stabilizing properties are exemplified by applying them to Grover's quantum search algorithm.