  In this paper we present finite-key security analysis for quantum key
distribution protocol based on weak coherent (in particular phase-coded) states
using a fully quantum asymptotic equipartition property technique. This work is
the extension of the proof for non-orthogonal states on the coherent states.
Below we consider two types of attacks each of them maximizes either Alice-Eve
or Eve-Bob mutual information. The cornerstone of this paper is that we do
assume the possibility of crucial intercept-resend attack based on errorless
unambiguous state discrimination measurement. We demonstrate that Holevo bound
always gives the highest mutual information between Alice and Eve regardless
particular kind of isometry. As the main result we present the dependence of
the extracted secret key length. As the example we implement the proposed
analysis to the subcarrier wave quantum key distribution protocol.
