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Wave function combination

  1. Sep 2, 2015 #1
    For theoretical sake, would a collapsed wave function combined with a non-collapsed wave function result in a wave function between that of a collapsed and non- collapsed wave function? Thank you and please excuse the stupidity of the question
     
  2. jcsd
  3. Sep 2, 2015 #2

    Nugatory

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    Staff: Mentor

    You are misunderstanding how collapse works. A wave function that is collapsed in one basis is uncollapsed in another, so it doesn't make a lot of sense to talk about about "adding" a collapsed and an uncollapsed wave function.

    You're going to have to work through the question in your other thread (https://www.physicsforums.com/threads/wave-function-equation.830480/), which is going to require some quality time with an introductory QM textbook, to understand why the question in this thread is ill-posed.
     
  4. Sep 2, 2015 #3

    Strilanc

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    If you take a qubit that has been measured as being in the state ##\left| 0 \right\rangle## and put it next to a qubit in the superposition ##\alpha \left| 0 \right\rangle + \beta \left| 1 \right\rangle##, you have a system of two qubits and the state of the system is ##\alpha \left| 00 \right\rangle + \beta \left| 01 \right\rangle##. That's one way to "combine" a collapsed state with a non-collapsed state and get a meaningful larger state out.

    An individual qubit can't be in a superposition of both collapsed and not collapsed. It can be in a mixed state, but a mixed state is a probability distribution of superpositions. Having a superposition of probability distributions instead of a probability distribution of superpositions is putting things the wrong way around math-wise.
     
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