Discrete Quantum Control - State Preparation
  A discrete-time method for solving problems in optimal quantum control is presented. Controlling the time discretized markovian dynamics of a quantum system can be reduced to a Markov-decision process. We demonstrate this method in this with a class of simple one qubit systems, which are also discretized in space. For the task of state preparation we solve the examples both numerically and analytically with dynamic programming techniques. 
Jon R. Grice and David A. Meyer
quant-ph math-ph math.MP