Physical Implementation of Quantum Random Walks
Kia Manouchehri, Jingbo B. Wang · arXiv (Cornell University) · 2006
Quantum random walks are shown to have non-intuitive dynamics, which make them an attractive area of study for devising quantum algorithms for well-known classical problems as well as those arising in the field of quantum computing. In this work we propose a novel scheme for the physical implementation of a discrete time quantum random walk using the laser excitations of a single electron in a quantum dot. The energy levels inside the dot represent the discrete nodes and multi-photon STIRAP processes are employed to induce the steps in the walk. The quantum dot design is tailored in such a way as to enable selective coupling of the energy levels. Our simulation results show a close agreement with the theoretical models of a quantum random walk as well as modest robustness towards noise disturbance and system parameter uncertainty.