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We get an interesting paradox if we try to simulate the time
evolution according to the schr�dinger equation on a classical machine. Consider
simulating an observer measuring the z-component of a spin in the
state:
a �up> + b �down>,
where �a� is not equal to �b�.
The classical computer will end up simulating the states of
the observer having measured spin up and spin down. The probability for the
observer in any of these states is 1/2 irrespective of a and b.
Therefore from the first person's perspective the laws of
quantum mechanics are violated.
Saibal
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- Re: Simulating the Schr�dinger Equation Saibal Mitra
