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Computation of sandwiched relative alpha-entropy of two n-mode gaussian states
arXiv
Authors: K R Parthasarathy
Year
2021
Paper ID
61695
Status
Preprint
Abstract Read
~2 min
Abstract Words
60
Citations
N/A
Abstract
A formula for the sandwiched relative α-entropy widetilde{D}_α\(ρvertvertσ\)=frac{1}{α-1} ln {rm Tr} left\(σ^{frac{1-α}{2α}} ρ σ^{frac{1-α}{2α}}right\)^α for 0 < α< 1, of two n mode gaussian states ρ, σ in the boson Fock space Γ\(mathbb{C}n\) is presented. This computation extensively employs the mathcal{E}2-parametrization of gaussian states in Γ\(mathbb{C}n\) introduced in J. Math. Phys. {\bf 62} (2021), 022102.
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- A formula for the sandwiched relative α-entropy widetildeD_α(ρvertvertσ)=frac1α-1 ln rm Tr left(σ^frac1-α2α ρ σ^frac1-α2αright)^α for 0 < α< 1, of two n mode gaussian states ρ...
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