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I'd like to be able to rewrite expressions like

$$[f(i,j,k,\ldots)]^{\otimes n}$$

in a form analogous to

$$\prod_{j\in J}f(i,j,k,\ldots)$$

so that I can distinguishing the index being varied and specify its domain.

Is there a notation for tensor products that corresponds to $\prod$?

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    How about $\bigotimes$, that is \bigotimes? To use it in a sentence, I guess: $$ \bigotimes_{j\in J} f_j $$ – Frank McGovern Mar 22 '13 at 23:55
  • @FrankMcGovern: That looks like an answer! But (I know this is more $\LaTeX$ than math), how do I get under it to write the index? – orome Mar 23 '13 at 0:00
  • This was migrated from math.se; do you think it was the right thing to do? – egreg Mar 23 '13 at 0:39
  • @egreg: I'd have left it in Math.SE (the question is about notation) and asked the $\LaTeX$ question separately here. – orome Mar 23 '13 at 0:48
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I'll just give the answer here. The \bigotimes notation works great.

\bigotimes_{j\in J}\,f_j
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    +1. This notation is standard in the quantum information community. – Niel de Beaudrap Mar 23 '13 at 0:37

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