Geometric bloch vector solution to minimum-error discriminations of mixed qubit states

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F23%3A00133935" target="_blank" >RIV/00216224:14330/23:00133935 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11128-023-04080-4" target="_blank" >https://doi.org/10.1007/s11128-023-04080-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11128-023-04080-4" target="_blank" >10.1007/s11128-023-04080-4</a>

Result language
angličtina
Original language name
Geometric bloch vector solution to minimum-error discriminations of mixed qubit states
Original language description
We investigate minimum-error (ME) discrimination for mixed qubit states using a geometric approach. By analyzing positive operator-valued measure (POVM) solutions and introducing Lagrange operator G, we develop a four-step structured instruction to find G for N mixed qubit states. Our method covers optimal solutions for two, three, and four mixed qubit states, including a novel result for four qubit states. We introduce geometric-based POVM classes and non-decomposable subsets for constructing optimal solutions, enabling us to find all possible answers for the general problem of minimum-error discrimination for N mixed qubit states with arbitrary a priori probabilities.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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