Abstract
The Schatten classes $${\mathfrak{S}_p}$$ of operators in a Hilbert space—a noncommutative analog of the classical lp 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.
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