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Construction of genuinely entangled subspaces and the associated bounds on entanglement measures for mixed statesстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Автор: Antipin Konstantin
- Журнал: Journal of Physics A: Mathematical and Theoretical
- Год издания: 2021
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- DOI: 10.1088/1751-8121/ac37e5
- Аннотация: Genuine entanglement is the strongest form of multipartite entanglement. Genuinely entangled pure states contain entanglement in every bipartition and as such can be regarded as a valuable resource in the protocols of quantum information processing. A recent direction of research is the construction of genuinely entangled subspaces — the class of subspaces consisting entirely of genuinely entangled pure states. In this paper we present methods of construction of such subspaces including those of maximal possible dimension. The approach is based on the composition of bipartite entangled subspaces and quantum channels of certain types. The examples include maximal subspaces for systems of three qubits, four qubits, three qutrits. We also provide lower bounds on two entanglement measures for mixed states, the concurrence and the convex-roof extended negativity, which are directly connected with the projection on genuinely entangled subspaces.
- Добавил в систему: Антипин Константин Владиславович