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In this paper we present finite-key security analysis for quantum keydistribution protocol based on weak coherent (in particular phase-coded) statesusing a fully quantum asymptotic equipartition property technique. This work isthe 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-Eveor Eve-Bob mutual information. The cornerstone of this paper is that we doassume the possibility of crucial intercept-resend attack based on errorlessunambiguous state discrimination measurement. We demonstrate that Holevo boundalways gives the highest mutual information between Alice and Eve regardlessparticular kind of isometry. As the main result we present the dependence ofthe extracted secret key length. As the example we implement the proposedanalysis to the subcarrier wave quantum key distribution protocol.

Finite-key security for quantum key distribution systems utilizing weak coherent states