Geodesic
Schatten Class Operators in a Representation Space of Canonical Commutation Relations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 165-173

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The Schatten classes $\mathfrak S_p$ of operators in a Hilbert space—a noncommutative analog of the classical $l_p$ spaces—play a significant role in recent studies on quantum information theory. In the present paper we give sufficient conditions for an operator to belong to $\mathfrak S_p$ in the case where the Hilbert space is the space of an irreducible representation of the canonical commutation relations. 
@article{TM_2020_309_a10,
     author = {A. S. Holevo},
     title = {Schatten {Class} {Operators} in a {Representation} {Space} of {Canonical} {Commutation} {Relations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {165--173},
     publisher = {mathdoc},
     volume = {309},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_309_a10/}
}
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A. S. Holevo. Schatten Class Operators in a Representation Space of Canonical Commutation Relations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 165-173. http://geodesic.mathdoc.fr/item/TM_2020_309_a10/