T. Okuda

activity

20132021

most citedGreat antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities

2 citations · 4 across the 4 of their papers we have counts for

collaborators

6 papers

quant-ph2021

Quantum circuits for exact unitary $t$ -designs and applications to higher-order randomized benchmarking

Yoshifumi Nakata, Da Zhao, Takayuki Okuda +9

A unitary $t$ -design is a powerful tool in quantum information science and fundamental physics. Despite its usefulness, only approximate implementations were known for general $t$ .…

math.CO2020

Explicit construction of exact unitary designs

Eiichi Bannai, Yoshifumi Nakata, Takayuki Okuda +1

The purpose of this paper is to give explicit constructions of unitary $t$ -designs in the unitary group $U (d)$ for all $t$ and $d$ . It seems that the explicit constructions were so…

math.CO2019

Approximation of integration over finite groups, difference sets and association schemes

Hiroki Kajiura, Makoto Matsumoto, Takayuki Okuda

Let $G$ be a finite group and $f : G \to C$ be a function. For a non-empty finite subset $Y \subset G$ , let $I_{Y} (f)$ denote the average of $f$ over $Y$ . Then, $I_{G} (f)$ is th…

math.MG2015★ 1 cited

Relation between spherical designs through a Hopf map

Takayuki Okuda

Cohn--Conway--Elkies--Kumar [Experiment. Math. (2007)] described that one can construct a family of designs on $S^{2 n - 1}$ from a design on $CP^{n - 1}$ . In this paper, we pr…

math.DG2015★ 1 cited

Homogeneous space with non virtually abelian discontinuous groups but without any proper SL(2,R)-action

Takayuki Okuda

In the study of discontinuous groups for non-Riemannian homogeneous spaces, the idea of "continuous analogue" gives a powerful method (T. Kobayashi [Math. Ann. 1989]). For example,…

math.CO2013★ 2 cited

Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities

Hirotake Kurihara, Takayuki Okuda

The aim of this paper is a characterization of great antipodal sets of complex Grassmannian manifolds as certain designs with the smallest cardinalities.