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We get an interesting paradox if we try to simulate the time
evolution according to the schrödinger 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 Schrödinger Equation Saibal Mitra
