Abstract
The present paper deals with a connection between quantum quadratic operators (QQOs) and quasi QQOs on M2(C). We show that QQOs and quasi QQOs on M2(C) coincide in the class of Volterra type of operators. To establish this result, we first describe these two kind of operators on the commutative part of M2(C). Furthermore, in the last section, we introduce a quantum analogue of Volterra operators and provide concrete examples of such kind of operators. It is established that the considered examples also satisfy quasiness condition as well. The obtained results will allow to produce (with explicit conditions) a class of unital, but not trace-preserving positive maps of M2(C).
Original language | English |
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Article number | 2050006 |
Journal | Open Systems and Information Dynamics |
Volume | 27 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1 2020 |
Keywords
- Positive operator
- Quasi quantum quadratic operator
- Symmetric operator
- Volterra operator
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Mathematical Physics