16 citations · 53 across the 30 of their papers we have counts for
8 papers · 1 filter
On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)
Eiichi Bannai, Etsuko Bannai, Chin-Yen Lee +2
Finding the maximum cardinality of a -distance set in Euclidean space is a classical problem in geometry. Lisoněk in 1997 constructed a maximum -distance set in …
On the size of maximal binary codes with 2, 3, and 4 distances
Alexander Barg, Alexey Glazyrin, Wei-Jiun Kao +3
We address the maximum size of binary codes and binary constant weight codes with few distances. Previous works established a number of bounds for these quantities as well as the e…
Quantum state tomography via non-convex Riemannian gradient descent
Ming-Chien Hsu, En-Jui Kuo, Wei-Hsuan Yu +2
The recovery of an unknown density matrix of large size requires huge computational resources. The recent Factored Gradient Descent (FGD) algorithm and its variants achieved state-…
Semidefinite programming bounds for few-distance sets in the Hamming and Johnson spaces
Alexander Barg, Ching-Yi Lai, Pin-Chieh Tseng +1
We study the maximum cardinality problem of a set of few distances in the Hamming and Johnson spaces. We formulate semidefinite programs for this problem and extend the 2011 works…
Semidefinite programming bounds for complex spherical codes
Wei-Jiun Kao, Sho Suda, Wei-Hsuan Yu
A complex spherical code is a finite subset on the unit sphere in . A fundamental problem on complex spherical codes is to find upper bounds for those with prescribed…
Four-point semidefinite bound for equiangular lines
Wei-Jiun Kao, Wei-Hsuan Yu
A set of lines in passing through the origin is called equiangular if any two lines in the set form the same angle. We proved an alternative version of the three-poi…
Semidefinite programming bounds for binary codes from a split Terwilliger algebra
Pin-Chieh Tseng, Ching-Yi Lai, Wei-Hsuan Yu
We study the upper bounds for , the maximum size of codewords with length and Hamming distance at least . Schrijver studied the Terwilliger algebra of the Hamming sc…
The real equiangular tight frames obtained from rank graphs
Eiichi Bannai, Etsuko Bannai, Chin-Yen Lee +2
We present all nontrivial real equiangular tight frames in obtained as spherical embeddings of primitive rank graphs on vertices, and those…