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Results tagged with lie-groups
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user 37211
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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Why a tensor product of $2\times 2$ unitaries cannot implement a $3\times 3$ unitary?
Let $\{v_1, \dotsc, v_m\} \in \mathbb{C}^{2^n}$ be a set of orthonormal vectors. Define a map $R_m$ from $2^n \times 2^n$ to $m \times m$ matrices as follows:
$$R_m(M) := \sum_{i,j=1}^m (v_i^*M v_j) E …
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