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6 papers
Maximum Dimension of Subspaces with No Product Basis
Yuuya Yoshida
Let and be integers, and be a field. A vector is called a product vector if…
Distributions of Finite Sequences Represented by Polynomials in Piatetski-Shapiro Sequences
Kota Saito, Yuuya Yoshida
By using the work of Frantzikinakis and Wierdl, we can see that for all , , and integers and , there exist infinitely many $n\in\math…
Perfect Discrimination in Approximate Quantum Theory of General Probabilistic Theories
Yuuya Yoshida, Hayato Arai, Masahito Hayashi
As a modern approach for the foundation of quantum theory, existing studies of General Probabilistic Theories gave various models of states and measurements that are quite differen…
Perfect Discrimination of Non-Orthogonal Separable Pure States on Bipartite System in General Probabilistic Theory
Hayato Arai, Yuuya Yoshida, Masahito Hayashi
We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements th…
Arithmetic Progressions in the Graphs of Slightly Curved Sequences
Kota Saito, Yuuya Yoshida
A strictly increasing sequence of positive integers is called a slightly curved sequence with small error if the sequence can be well-approximated by a function whose second deriva…
Optimal Mechanism for Randomized Responses under Universally Composable Security Measure
Yuuya Yoshida, Man-Hong Yung, Masahito Hayashi
We consider a problem of analyzing a global property of private data through randomized responses subject to a certain rule, where private data are used for another cryptographic p…