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Utilizing the notation in Refs. 10 and 11, we revisit general bipartite Bell state for any (d  d) dimensional systems. In particular, we bring out the conditions for general bipartite Bell state and¯nd out the relation between general Bell states and the uðdÞ group. Furthermore, we construct local unitary complete set for quantum dense coding based on general Bell states.

We propose a scenario to realize quantum computers utilizing heteronuclear diatomic rovibrational states as qubits. We focused on rovibrational qubits created by simple transform limited infrared laser pulse instead of using chirped pulse. Numerical calculations show that single qubit gate operation in the electronic ground state of LiH molecule can be obtained. We also discuss the effect of temperature on the initially rotational states, and a suitable experiment condition is indicated.