3 papers
quant-ph2026
Optimal quantum locally differentially private mechanisms in the high-privacy regime
Yuuya Yoshida
We optimize the trade-off between privacy and utility in the high-privacy regime. We adopt local differential privacy (LDP) and its quantum extension, quantum local differential pr…
math.PR2024
A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time
Yuuya Yoshida
Solov'ev (1966), Nielsen (1973), and Blom (1982) independently showed a formula for the expected waiting time until a given finite pattern first occurs in random data. In this pape…
math.NT2024
On the number of representations of integers as differences between Piatetski-Shapiro numbers
Yuuya Yoshida
For , set . We show that, for every , the number of pairs of positive integers with $d=\lfloor{n^α}\rfloor - \lfloor{m…