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Unformatted text preview: February 2, 2006 Physics 681481; CS 483: Discussion of #1 I. Tensor products and positional notation. We represent the digits 5, 3, and 2 by 10component column vectors c , b , and a , given by c = 1 , b = 1 , a = 1 , (1) Now the rule for forming the tensor product of two 10dimensional column vectors u = u u 1 u 2 . . . and v = v v 1 v 2 . . . (2) is that u ⊗ v is the 10 × 10 = 100dimensional column vector given by u ⊗ v = u v u 1 v u 2 v u 3 v ....
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 Spring '08
 Ginsparg
 10J, Cij Cj, ni nj ni, Toffoli gate, Xj ni nj

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