caa a22 4500 445886846 CHVBK 20180317145602.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s11128-010-0185-y doi (NATIONALLICENCE)springer-10.1007/s11128-010-0185-y The minimum-error discrimination via Helstrom family of ensembles and convex optimization [Elektronische Daten] [M. Jafarizadeh, Y. Mazhari, M. Aali] Using the convex optimization method and Helstrom family of ensembles introduced in Ref. Kimura etal. in Phys Rev A, 79:062306 (2009), we discuss optimal ambiguous discrimination in qubit systems for N known quantum states. We obtain optimal success probability (OSP) and optimal measurement (OM) for N(≥ 4) known equiprobable quantum states where all these states are distributed at the same distance from the center of Bloch ball which all the states do not lie on the same plane. After reproducing known results for distinguishing between two quantum states, we also exactly discuss discrimination of three quantum state where OSP and OM are calculated explicitly. In particular examples of three states, for a numerical case, mirror symmetric states, and particularly chosen coplanar pure states, previously obtained results are reproduced. We also obtain OSP and OM for a particular case of states considered on the line, circumference of a circle, and states that is defined by vertices of a Platonic solid. In addition, OSP is presented for a special case of four states. Springer Science+Business Media, LLC, 2010 Minimum-error discrimination nationallicence Success probability nationallicence Measurement nationallicence POVM elements nationallicence Helstrom family of ensembles nationallicence Convex optimization nationallicence Conjugate states nationallicence Jafarizadeh M. Department of Theoretical Physics and Astrophysics, University of Tabriz, 51664, Tabriz, Iran aut Mazhari Y. Department of Theoretical Physics and Astrophysics, University of Tabriz, 51664, Tabriz, Iran aut Aali M. Department of Physics, Faculty of Science, Azarbaijan University of Tarbiat Moallem, 53714-161, Tabriz, Iran aut Quantum Information Processing Springer US; http://www.springer-ny.com 10/2(2011-04-01), 155-176 1570-0755 10:2<155 2011 10 11128 https://doi.org/10.1007/s11128-010-0185-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11128-010-0185-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jafarizadeh M. Department of Theoretical Physics and Astrophysics, University of Tabriz, 51664, Tabriz, Iran aut NATIONALLICENCE 700 1- Mazhari Y. Department of Theoretical Physics and Astrophysics, University of Tabriz, 51664, Tabriz, Iran aut NATIONALLICENCE 700 1- Aali M. Department of Physics, Faculty of Science, Azarbaijan University of Tarbiat Moallem, 53714-161, Tabriz, Iran aut NATIONALLICENCE 773 0- Quantum Information Processing Springer US; http://www.springer-ny.com 10/2(2011-04-01), 155-176 1570-0755 10:2<155 2011 10 11128 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer