In contrast to what is said in the abstract of this paper, the
authors DO NOT ``demonstrate how to discriminate two non-orthogonal
... quantum states''. Their message merely is that whenever a
suitable ``metric operator ... is used'' to make the entangled
system ``fully consistent with quantum theory'', the states in
question may be made orthogonal. Then [i.e., after the full
specification of the quantum system: cf. my own compact review
``Three-Hilbert-space formulation of Quantum Mechanics'' in
SYMMETRY, INTEGRABILITY and GEOMETRY: METHODS and APPLICATIONS
(SIGMA), vol. 5 (2009), paper 001,  arXiv: 0901.0700 for more
details], one can discriminate between the two states in a single
measurement of course. Incidentally, interested readers only have to
regret that preprint [2] by Bender et al (offering, under the title
``PT-symmetric quantum state discrimination'',  a better written
presentation of the very similar idea almost two years earlier) was
only submitted, after perceivable delay and with two further
coauthors added, to proceedings in Philosophical Transactions A
which are still at press in 2013.


MR2969121 Ghatak, Ananya; Mandal, Bhabani Prasad Entangled quantum
state discrimination using a pseudo-Hermitian system. J. Phys. A 45
(2012), no. 35, 355301, 7 pp. 81Pxx