Abstract
In this paper, we examine properties of the tensor powers of quantum mappings Φ. In particular, we review positivity properties of unitary and nonunitary qubit mappings Φ⊗2. For arbitrary finite-dimensional systems, we present the relationship between the positive and completely positive divisibility of dynamical mappings \( {\Phi}_t^{\otimes 2} \) and Φt. A criterion of annihilation of entanglement by an arbitrary qubit mapping Φ⊗2 is found.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 151, Quantum Probability, 2018.
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Filippov, S.N. Tensor Products of Quantum Mappings. J Math Sci 252, 116–124 (2021). https://doi.org/10.1007/s10958-020-05146-9
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DOI: https://doi.org/10.1007/s10958-020-05146-9