Quantum teleportation is rigorously demonstrated with coherent entangled st
ates given by beam splittings. The mathematical scheme of beam splitting ha
s been used to study quantum communication [2] and quantum stochastic [8].
We discuss the teleportation process by means of coherent states in this sc
heme for the following two cases: (1) Delete the vacuum part from coherent
states, whose compensation provides us a perfect teleportation from Alice t
o Bob. (2) Use fully realistic (physical) coherent states, which gives a no
n-perfect teleportation but shows that it is exact when the average energy
(density) of the coherent vectors goes to infinity. We show that our quantu
m teleportation scheme with coherent entangled state is more stable than th
at with the EPR pairs which was previously discussed.