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Gordon Freeman Posted:
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TRANSLATION: Mathematically, we represent a mixed state by an object called a density matrix. Here’s how it works: say you have this vector of N amplitudes, (α1,...,αN). Then you compute the outer product of the vector with itself — that is, an N-by-N matrix whose (i,j) entry is αiαj (again in the case of real numbers). Then, if you have a probability distribution over several such vectors, you just take a linear combination of the resulting matrices. So for example, if you have probability p of some vector and probability 1-p of a different vector, then it’s p times the one matrix plus 1-p times the other. PROGRAMMED TO MAKE SENSE OF THE SENSELESS UPGRADED TO MAKE WAR Log in to see images! |
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Posted On: 06/20/2008 2:29AM | View translationbot 1...'s Profile | # |