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cool

pellet why did I speak it breaks this terrible site's latex :'(

Maybe we should go to the superior Peer Answer

lol

tkhunny would have your head for such talk

I'll ban him idgaf

this tensor product |ij> = |i> * |j>, 1<=i,j<=2
whats that about

does this first mean that i and j are 2 by 2 matrces and we take tensor product of these 2 matrices?

or are they 2 vectors of dimension 2

|dw:1443201862130:dw|

like that?

Nah not quite.

wait an outer product always produces an operator right

|dw:1443202519738:dw|

Yeah, all you're doing is this: |dw:1443202706547:dw|

ok i gotcha

would that thing you did there be the tensor product of the 2 vectors i and j defined above

where that matrix can be rewritten as
ac|11> + ad|12>+bc|21> +bd |22>

i dont think that matrix can be rewritten like this nevermind

se this would be like one of those column vectors they keep using for 4 states

okay so basically a tensor product is just this diract notation for a matrix

At least I think so, I might be mixing the notation up possibly.

http://prntscr.com/8keczo

wait okay before that question so supppose i just write it out like this 2 by 2 matrix

|dw:1443204170570:dw|

http://prntscr.com/8kejen

i better go eat