E. Bannai

activity

20082026

most citedQuantum circuits for exact unitary

t

-designs and applications to higher-order randomized benchmarking

41 citations · 113 across the 31 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.NT2008

Toy models for D. H. Lehmer's conjecture

Eiichi Bannai, Tsuyoshi Miezaki

In 1947, Lehmer conjectured that the Ramanujan $τ$ -function $τ (m)$ never vanishes for all positive integers $m$ , where the $τ (m)$ are the Fourier coefficients of the cusp form $Δ_{…

math.CO2008★ 3 cited

On antipodal spherical t-designs of degree s with $t \geq 2 s - 3$

Eiichi Bannai, Etsuko Bannai

We prove that if X is a spherical t-design and s-distance set with $t \geq 2 s - 3$ , then X has the structure of Q-polynomial association scheme of class s. Also, we describe the param…

math.CO2008★ 19 cited

Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets

Kanat Abdukhalikov, Eiichi Bannai, Sho Suda

H. Cohn et. al. proposed an association scheme of 64 points in R^{14} which is conjectured to be a universally optimal code. We show that this scheme has a generalization in terms…

Toy models for D. H. Lehmer's conjecture

On antipodal spherical t-designs of degree s with t≥2s−3

Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets

On antipodal spherical t-designs of degree s with $t \geq 2 s - 3$