Author

Cristina Butucea

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Preprint Sep 2026

Faster Learning under Relaxed Local Differential Privacy

We consider density estimation under the relaxed local differential privacy condition that the privatized distributions are $\alpha$-close in total variation distance. We show that adding independent noise with a convenient symmetrized Gamma distribution to each sensitive observation attains the $\alpha$-TV-LDP. We pro...

Cristina Butucea, Hui-Yun Tang, M. Taupin · 0 citations

Preprint Jul 2026

Optimal estimation of high-dimensional quantum states using locally gentle measurements

We study the task of estimating a $d-$dimensional quantum state $\rho$ under the constraint that the measurement is $\alpha-$gentle. Such measurements $M$ do not collapse the state; they issue both a random variable $R^M = \omega$ containing statistical information and a post-measurement state $\rho_{M \to \omega}$ suc...

Cristina Butucea, Jan Johannes, Henning Stein · 0 citations