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1 vote
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Calculating the product between two bra vectors

It seems that you misunderstood the table. The notation you are asking about, i.e. $|S\rangle$ and $|Y\rangle$, is called Dirac bra-ket notation and it is used for row and column vectors with ...
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1 vote

Inner product of multiple qubit registers

I suppose you can pick any notation you want, however, in any standard notation, anything inside the ket/bra is treated as the name of the state (a "string" object if you're OK with thinking ...
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3 votes
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Inner product of multiple qubit registers

Depends on the notation, I guess. For product states, when $$|ABC\rangle=|A\rangle|B\rangle|C\rangle,\quad |abc\rangle=|a\rangle|b\rangle|c\rangle$$ the inner product is $$\langle ABC|abc\rangle =\...
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How to check if a $n$-qubit unitary is the tensor product of single-qubit unitaries

TL;DR: A two-qubit unitary operator $U$ is a product operator, i.e. $U=U_1\otimes U_2$ for some single-qubit unitaries $U_1$ and $U_2$ if and only if $U$ has Schmidt rank one $$ U = U_1\otimes U_2 \...
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