41 citations · 58 across the 11 of their papers we have counts for
12 papers
On Neumaier Cayley graphs
Rhys J. Evans, Sergey Goryainov, Grigory Ryabov +1
In the present paper, we study Neumaier Cayley graphs. First, we give a criterion for a Cayley graph to be a Neumaier graph with a spread given by the cosets of a subgroup. Further…
Generalized block diagonal Laplacian spectrum of graphs
Yanrui Xu, Da Zhao
We reduce the block all-one matrices in the generalized block Laplacian spectrum of graphs to block all-one matrices in the generalized block diagonal Lapalcian spectrum…
Bivariate -polynomial structures for the nonbinary Johnson scheme and the association scheme obtained from attenuated spaces
Eiichi Bannai, Hirotake Kurihara, Da Zhao +1
The study of -polynomial association schemes (distance-regular graphs) and -polynomial association schemes, and in particular - and -polynomial association schemes, has…
Multivariate P- and/or Q-polynomial association schemes
Eiichi Bannai, Hirotake Kurihara, Da Zhao +1
The classification problem of - and -polynomial association schemes has been one of the central problems in algebraic combinatorics. Generalizing the concept of - and -…
Quantum circuits for exact unitary -designs and applications to higher-order randomized benchmarking
Yoshifumi Nakata, Da Zhao, Takayuki Okuda +9
A unitary -design is a powerful tool in quantum information science and fundamental physics. Despite its usefulness, only approximate implementations were known for general .…
Classification of partially metric Q-polynomial association schemes with
Da Zhao
We classify the Q-polynomial association schemes with which are partially metric with respect to the nearest neighbourhood relation. An association scheme is partially…
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 -designs in the unitary group for all and . It seems that the explicit constructions were so…
The complex conjugate invariants of Clifford groups
Eiichi Bannai, Manabu Oura, Da Zhao
Nebe, Rains and Sloane studied the polynomial invariants for real and complex Clifford groups and they relate the invariants to the space of complete weight enumerators of certain…
On the explicit constructions of certain unitary -designs
Eiichi Bannai, Mikio Nakahara, Da Zhao +1
Unitary -designs are `good' finite subsets of the unitary group that approximate the whole unitary group well. Unitary -designs have been applied in randomized…
Integral graphs obtained by dual Seidel switching
Sergey Goryainov, Elena V. Konstantinova, Honghai Li +1
Dual Seidel switching is a graph operation introduced by W.~Haemers in 1984. This operation can change the graph, however it does not change its bipartite double, and because of th…
Half of an antipodal spherical design
Eiichi Bannai, Da Zhao, Lin Zhu +2
We investigate several antipodal spherical designs on whether we can choose half of the points, one from each antipodal pair, such that they are balanced at the origin. In particul…
Spherical embeddings of symmetric association schemes in 3-dimensional Euclidean space
Eiichi Bannai, Da Zhao
We classify the symmetric association schemes with faithful spherical embedding in 3-dimensional Euclidean space. Our result is based on previous research on primitive association…