  We investigate an advantage for information processing of ordering a set of
states over making a global quantum processing with a fixed number of copies of
coherent states. Suppose Alice has $N$ copies of one of two quantum states
$\sigma_0$ or $\sigma_1$ and she gives these states to Bob. Using the optimal
sequential test, the SPRT, we ask if processing the states in batches of size
$l$ is advantageous to optimally distinguish the two hypotheses. We find that
for the symmetric case $\{|\gamma\rangle,|-\gamma\rangle\}$ there is no
advantage of taking any batch size $l$. We give an expression for the optimal
batch size $l_\text{opt}$ in the assymetric case. We give bounds $l_\text{min}$
and $l_\text{max}$ for when $P_S\approx 1$.
