论文标题
hadamard矩阵的量子对称性
Quantum symmetries of Hadamard matrices
论文作者
论文摘要
我们定义了哈达姆矩阵的量子自动形态和同构。我们表明，每个大小$ n \ ge 4 $的Hadamard矩阵都有量子对称性，并且所有固定尺寸的Hadamard矩阵都是互量子同构的。这些结果也传递给相应的Hadamard图。我们还定义了作用于量子空间的量子hadamard矩阵，并在基质代数上带来了一个例子。
We define quantum automorphisms and isomorphisms of Hadamard matrices. We show that every Hadamard matrix of size $N\ge 4$ has quantum symmetries and that all Hadamard matrices of a fixed size are mutually quantum isomorphic. These results pass also to the corresponding Hadamard graphs. We also define quantum Hadamard matrices acting on quantum spaces and bring an example thereof over matrix algebras.
