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Applies to questions of primarily educational value - styled in the format similar to that found in textbook exercises. This tag should be applied to questions that are (1) stated in the form of an exercise and (2) at the level of basic quantum information textbooks.

1 vote

Decomposition of a $4 \times 4$ unitary matrix

Note the following: if we have a vector with 2 entries $\begin{bmatrix} a \\ b \end{bmatrix}$, then we can use a unitary matrix to change the second entry to $0$. Namely, set $r = \sqrt{|a|^2 + |b|^2} …
Vladimir Lysikov's user avatar
1 vote

Quantum Cryptography without Bell's Theorem -- Brassard - Bennett - Mermin

Whether the conjugation transposes tensor factors or not, I think, depends on the convention. The authors chose to write a bra in $(\mathcal{V} \otimes \mathcal{A})^*$ as $\left<a\right| \left<u\right …
Vladimir Lysikov's user avatar