Lossless multiple release, where any set of private releases is only as revealing as the least private one, is achievable for a broad class of additive noise mechanisms including Gaussian, Laplace, and Poisson.
We first assumek ̸= 0 and analyze three possible cases how X1 + X2 is built up: Either both of them are drawn from the (continuous) Laplace distribution or exactly one
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Private Lossless Multiple Release
Lossless multiple release, where any set of private releases is only as revealing as the least private one, is achievable for a broad class of additive noise mechanisms including Gaussian, Laplace, and Poisson.