On 5/7/2019 3:55 PM, Jason Resch wrote:


On Tue, May 7, 2019 at 5:44 PM 'Brent Meeker' via Everything List <everything-list@googlegroups.com <mailto:everything-list@googlegroups.com>> wrote:



    On 5/7/2019 2:52 PM, Jason Resch wrote:


    On Tuesday, May 7, 2019, 'Brent Meeker' via Everything List
    <everything-list@googlegroups.com
    <mailto:everything-list@googlegroups.com>> wrote:



        On 5/7/2019 2:08 PM, Jason Resch wrote:


        On Tuesday, May 7, 2019, 'Brent Meeker' via Everything List
        <everything-list@googlegroups.com
        <mailto:everything-list@googlegroups.com>> wrote:



            On 5/7/2019 1:49 PM, Jason Resch wrote:


            On Tuesday, May 7, 2019, 'Brent Meeker' via Everything
            List <everything-list@googlegroups.com
            <mailto:everything-list@googlegroups.com>> wrote:



                On 5/7/2019 11:52 AM, Jason Resch wrote:


                On Tue, May 7, 2019 at 1:07 PM 'Brent Meeker' via
                Everything List <everything-list@googlegroups.com
                <mailto:everything-list@googlegroups.com>> wrote:



                    On 5/7/2019 9:53 AM, Jason Resch wrote:


                    On Tuesday, May 7, 2019, 'Brent Meeker' via
                    Everything List
                    <everything-list@googlegroups.com
                    <mailto:everything-list@googlegroups.com>> wrote:



                        On 5/6/2019 11:11 PM, Jason Resch wrote:

                            Not at all.  In fact a quantum
                            computation only works because all
                            the wrong answers have a high
                            probability of being eliminated by
                            destructive interference...which
                            requires that they be computed in
                            the same world.


                        So prior to the computation, all of the
                        wrong answers existed?

                        There is no answer until the output is
                        measured.


                        Brent



                    Then what did you mean by "all the wrong
                    answers have a high probability of being
                    eliminated". Eliminated from what?

                    I mean not showing up as the answer.


                And they don't show up because... ?

                Their amplitude in the superposition is small.  If
                you've got something to say, just say it.


                Brent



            You seem to be avoiding the implication that the system
            starts in a state where all possible answers, both
            wrong and correct exist.

            You seem to think that because something might exist in
            the future it exists.


            Brent




        At what point in time does "the probability of measuring the
        wrong answers" decrease?

        1. Before the computation
        2. During/after the computation
        3. At the time of measurement
        4. Something else
        5. Indeterminate

        My guess is #2, what do you think?
        During/after is pretty broad.  You're assuming that when the
        answer is measured can be varied independently of the
        computation.  Even classical computations don't have an
        answer ready to be output at any time.  Some do, but interate
        so that the answer becomes more accurate with run time.  So I
        think it depends on the structure of the algorithm.


        Brent



    Is there an algorithm where the answer would be something other
    than during or after?

    Since the question was ''At what /*point*/ in time does "the
    probability of measuring the wrong answers" decrease?''  I don't
    thing "during/after" is even an answer.

    As I said, I think no answer exists until there's a measurement,
    the computer will be in a superposition of states relative to the
    measurement basis.  So "at the time of measurement" would be the
    closest answer.  But I know some algorithms, like Grover's, become
    more accurate as they run longer.


Isn't there an easy experiment to test your theory?  Run the following experiment: Execute the same quantum computation simultaneously on 5 different quantum computers. Then:

1. On computer #1, perform the measurement 1 year after the computation completes 2. On computer #2, perform the measurement 2 hours after the computation completes 3. On computer #3, perform the measurement 1 hour after the computation completes 4. On computer #4, perform the measurement as soon as the computation completes 5. On computer #5, perform the measurement before the computation completes

Given that QM would give us the same probability of obtaining the correct answer from computers 1 through 4, and a different (lower) probability of obtaining the correct answer from computer #5, and given that the measurements take place at different times (with the earliest taking place as soon as the computation completes), doesn't this suggest to you that the probabilities are determined prior to the time of the measurement?

Of course in a sense the probabilities are determined when the problem, including the measurement, is defined (at least insofar as we trust the theory of QM).  But for at least some algorithms the answer is more likely to be correct if we let the computation run longer.  But that only suggests that at any given iteration of those algorithms the probability of a measurement result is becoming more concentrated on the right answer.   For algorithms like Grover's "the computation completes" corresponds to a measurement being made, there is no other sense of "computation completes".  I don't know if that's true of all quantum algorithms.

Brent

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