Abstract
We show a possible way to implement the Grover algorithm in large nuclear spins in semiconductors. The Grover sequence is performed by means of multiphoton transitions that distribute the spin amplitude between the nuclear spin states. They are distinguishable due to the quadrupolar splitting, which makes the nuclear spin levels nonequidistant. We introduce a generalized rotating frame for an effective Hamiltonian that governs the nonperturbative time evolution of the nuclear spin states for arbitrary spin lengths I. The larger the quadrupolar splitting, the better the agreement between our approximative method using the generalized rotating frame and exact numerical calculations.
- Received 1 May 2003
DOI:https://doi.org/10.1103/PhysRevB.68.165317
©2003 American Physical Society