  A scheme of implementing the Grover search algorithm based on Josephson
charge qubits has been proposed, which would be a key step to scale more
complex quantum algorithms and very important for constructing a real quantum
computer via Josephson charge qubits. The present scheme is simple but fairly
efficient, and easily manipulated because any two-charge-qubit can be
selectively and effectively coupled by a common inductance. More manipulations
can be carried out before decoherence sets in. Our scheme can be realized
within the current technology.
