Analytical relative volumes of entanglement-breaking and incompatibility-breaking one-mode Gaussian channels are derived from a Hilbert-Schmidt geometry induced by the Choi-Jamiolkowski isomorphism.
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Geometry on the manifold of Gaussian quantum channels
Analytical relative volumes of entanglement-breaking and incompatibility-breaking one-mode Gaussian channels are derived from a Hilbert-Schmidt geometry induced by the Choi-Jamiolkowski isomorphism.