  We consider a $t \times 1$ multiple-antenna fading channel with quantized
channel state information at the transmitter (CSIT). Our goal is to maximize
the diversity and array gains that are associated with the symbol error rate
(SER) performance of the system. It is well-known that for both beamforming and
precoding strategies, finite-rate fixed-length quantizers (FLQs) cannot achieve
the full-CSIT diversity and array gains. In this work, for any function
$f(P)\in\omega(1)$, we construct variable-length quantizers (VLQs) that can
achieve these full-CSIT gains with rates $1+(f(P) \log P)/P$ and $1+f(P)/P^t$
for the beamforming and precoding strategies, respectively, where $P$ is the
power constraint of the transmitter. We also show that these rates are the best
possible up to $o(1)$ multipliers in their $P$-dependent terms. In particular,
although the full-CSIT SER is not achievable at any (even infinite) feedback
rate, the full-CSIT diversity and array gains can be achieved with a feedback
rate of 1 bit per channel state asymptotically.
