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I want to ask about unitary group $\rm SU(2)$ and $\rm SU(4).$

From my reading, the matrix of $\rm SU(2)$ and $\rm SU(4)$ is unitary matrix.

I make the product of $\rm SU(4)\times SU(2)$

It is possible when I make an evolution, the matrix of $\rm SU(4)\times SU(2)$ is not unitary?

Qmechanic
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munirah
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1 Answers1

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It is possible [..] the matrix of $\rm SU(4)\times SU(2)$ is not unitary?

No, it will be unitary. The tensor product of two unitary matrices is always unitary.

Proving that for yourself makes a good basic exercise, so I won't spoil it.

Craig Gidney
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