In Ref. 3, the quantum Strassen's theorem has been extended to the infinite-dimensional case. This theorem consists in the solution of the coupling problem for two states on the algebra of bounded operators on two Hilbert spaces H1, H2 with the additional constraint that the coupling state has support in a pre-assigned sub-space of H1 ⊗ H2. In this paper, we give an alternative proof of the main theorem in Ref. 3 that allows such extension.
A note on the infinite-dimensional quantum Strassen's theorem
Lu Y. G.
2022-01-01
Abstract
In Ref. 3, the quantum Strassen's theorem has been extended to the infinite-dimensional case. This theorem consists in the solution of the coupling problem for two states on the algebra of bounded operators on two Hilbert spaces H1, H2 with the additional constraint that the coupling state has support in a pre-assigned sub-space of H1 ⊗ H2. In this paper, we give an alternative proof of the main theorem in Ref. 3 that allows such extension.File in questo prodotto:
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