Abstract
We investigate the generation of quantum operations for one-qubit systems under classical Markovian noise with a power spectrum, where . We present an efficient way to approximate the noise with a discrete multistate Markovian fluctuator. With this method, the average temporal evolution of the qubit state operator under noise can be feasibly determined from recently derived deterministic master equations. We obtain qubit operations such as quantum memory and the NOT gate to high fidelity by a gradient-based optimization algorithm. For the NOT gate, the computed fidelities are qualitatively similar to those obtained earlier for random telegraph noise. In the case of quantum memory, however, we observe a nonmonotonic dependency of the fidelity on the operation time, yielding a natural access rate of the memory.
- Received 5 April 2007
DOI:https://doi.org/10.1103/PhysRevA.77.032334
©2008 American Physical Society