On the contractivity of Hilbert-Schmidt distance under open quantum dynamics
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We show that the Hilbert-Schmidt (HS) norm and distance, unlike the
trace norm and distance, are generally not contractive for open
quantum systems subject to Lindblad semigroup dynamics. Necessary
and sufficient conditions for monotonicity of the HS norm and
distance are given, and explicit criteria for contractivity in terms
of the Lindblad dissipation operators derived.
This talk is part of the CQIF Seminar series.
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