Complete analysis to minimum-error discrimination of four mixed qubit states with arbitrary prior probabilities
- Title
- Complete analysis to minimum-error discrimination of four mixed qubit states with arbitrary prior probabilities
- Author
- 권영헌
- Keywords
- Arbitrary prior probabilities; Minimum-error discrimination; Mixed qubit states; Null measurement operator: POVM
- Issue Date
- 2023-01
- Publisher
- Springer
- Citation
- Quantum Information Processing, v. 22, NO. 1, article no. 67,
- Abstract
- In this work, we provide a complete analysis to minimum-error discrimination of mixed four qubit states with arbitrary prior probabilities. For the complete analysis, the most important work to do is to find the necessary and sufficient conditions for the existence of measurement operator. From the geometric structure of qubit states, we obtain the analytic condition for deciding the existence of a operator in minimum-error measurement for four mixed qubit states, which also gives the necessary and sufficient conditions for every optimal POVM to have nonzero elements. Using the condition, we completely analyze minimum-error discrimination of four mixed qubit states with arbitrary prior probabilities. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
- URI
- https://link.springer.com/article/10.1007/s11128-022-03814-0https://repository.hanyang.ac.kr/handle/20.500.11754/185225
- ISSN
- 1570-0755;1573-1332
- DOI
- 10.1007/s11128-022-03814-0
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED PHYSICS(응용물리학과) > Articles
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