Unambiguous correct discrimination among symmetric qudit states

We investigate the unambiguous correct discrimination strategy for discriminating a set of nonorthogonal symmetric qudit states. Restricting to linearly independent and equally likely pure symmetric qudit states, we construct the optimal positive operator valued measure that the measuring operators...

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Bibliographic Details
Published in:Quantum information processing 2023-04, Vol.22 (4), Article 172
Main Authors: Guo, Da-wei, Zhang, Wen-Hai
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:We investigate the unambiguous correct discrimination strategy for discriminating a set of nonorthogonal symmetric qudit states. Restricting to linearly independent and equally likely pure symmetric qudit states, we construct the optimal positive operator valued measure that the measuring operators consist of the success and correct operators. Our strategy can produce the relative average correct probability in correctly identifying each state in the set when the value of the average success probability is optimal as that in the standard unambiguous discrimination strategy. Three examples are given to demonstrate the efficiency of the unambiguous correct discrimination strategy.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-023-03923-4