3 papers
quant-ph2025
Asymptotic Gate Count Bounds for Ancilla-Free Single-Qubit Synthesis with Arithmetic Gates
Kaoru Sano, Hayata Morisaki, Seiseki Akibue
We study ancilla-free approximation of single-qubit unitaries by gate sequences over Clifford+, where or their generalization. Let denote th…
math.AG2023
On preimages question
Yohsuke Matsuzawa, Kaoru Sano
For a surjective self-morphism on a projective variety defined over a number field, we study the preimages question, which asks if the set of rational points on the iterated preima…
math.NT2023
Northcott numbers for generalized weighted Weil heights
Masao Okazaki, Kaoru Sano
We give a generalization of weighted Weil heights. These heights generalize both Weil's heights and Dobrowolski's height. We study Northcott numbers for our heights. Our results ge…