Unambiguous discrimination among three linearly independent symmetric states

ABSTRACT

We investigate the unambiguous discrimination of three linearly independent symmetric states. We derive the minimum inconclusive probability by using an ancillary system and introducing a unitary transformation which acts on the input states and produces the output measured on the ancilla. We generalize to the case of discriminating the symmetric states with multiple copies. Our results show that the minimum inconclusive probabilities can be expressed as a form, not only dependent on the modular and the phase factors but also dependent on the number of the copies.

KEYWORDS:

• State discrimination
• unambiguous discrimination
• optimal minimum probability
• linearly independent symmetric states

Additional information

Funding

This research was funded by the Natural Science Foundation of the Education Department of Anhui Province of China [grant number KJ2016A672], University Outstanding Talent Cultivation Program of Anhui Province [grant number gxyq2017060], Natural Science Foundation of Anhui Province [grant number 1808085MF166].