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19 lines
1.3 KiB
Markdown
19 lines
1.3 KiB
Markdown
[[Operazione]] tra due [[tensore|tensori]] che risulta in un [[tensore]] di [[ordine]] superiore.
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$$\Huge \otimes$$
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Può essere vista come l'applicazione di un "pattern" moltiplicato:
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$$
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\left[ \begin{matrix}
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{\color{Gray} In} & {\color{Gray} Out_{\ket{0}}} & {\color{Gray} Out_{\ket{1}}} \\
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{\color{Gray} \ket{0}} & 0 & 1 \\
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{\color{Gray} \ket{1}} & 1 & 0 \\
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\end{matrix} \right]
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\otimes
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\left[ \begin{matrix}
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{\color{Gray} In} & {\color{Gray} Out_{\ket{0}}} & {\color{Gray} Out_{\ket{1}}} \\
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{\color{Gray} \ket{0}} & {\color{blue} 0} & {\color{green} 1} \\
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{\color{Gray} \ket{1}} & {\color{red} 2} & {\color{orange} 3} \\
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\end{matrix} \right]
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= \\
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\quad \\ \left[ \begin{matrix} {\color{Gray} In} & {\color{Gray} Out_{\ket{00}}} & {\color{Gray} Out_{\ket{01}}} & {\color{Gray} Out_{\ket{10}}} & {\color{Gray} Out_{\ket{11}}} \\ {\color{Gray} \ket{00}} & {\color{blue} 0} & {\color{blue} 0} & {\color{green} 0} & {\color{green} 1} \\ {\color{Gray} \ket{01}} & {\color{blue} 0} & {\color{blue} 0} & {\color{green} 1} & {\color{green} 0} \\ {\color{Gray} \ket{10}} & {\color{red} 0} & {\color{red} 2} & {\color{orange} 0} & {\color{orange} 3} \\ {\color{Gray} \ket{11}} & {\color{red} 2} & {\color{red} 0} & {\color{orange} 3} & {\color{orange} 0} \\ \end{matrix} \right]$$
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