On 8/2/2019 4:36 PM, Jason Resch wrote:


On Fri, Aug 2, 2019 at 5:18 PM 'Brent Meeker' via Everything List <[email protected] <mailto:[email protected]>> wrote:



    On 8/2/2019 1:41 PM, Jason Resch wrote:


    On Fri, Aug 2, 2019 at 3:31 PM 'Brent Meeker' via Everything List
    <[email protected]
    <mailto:[email protected]>> wrote:



        On 8/2/2019 1:19 PM, Jason Resch wrote:


        On Fri, Aug 2, 2019 at 3:17 PM 'Brent Meeker' via Everything
        List <[email protected]
        <mailto:[email protected]>> wrote:



            On 8/2/2019 12:53 PM, Jason Resch wrote:


            On Fri, Aug 2, 2019 at 1:25 PM 'Brent Meeker' via
            Everything List <[email protected]
            <mailto:[email protected]>> wrote:



                On 8/2/2019 10:42 AM, Jason Resch wrote:

                            Quantum computers work by interference
                            of quits, and such interference can
                            only take place in one world --
                            different worlds are orthogonal. The
                            fact that one can analyse a quantum
                            computer in a particular basis which
                            can be represented as a series of
                            parallel computations does not mean
                            that this is actually what happens.
                            Heuristic constructs seldom correspond
                            to reality.


                        None of this comes anywhere close to
                        addressing my question.


                    Well, you have either not understood the
                    question, or my answer to it.


                I asked where those 10^1000 intermediate
                computation states are realized, and your reply
                was a basic description of how quantum computers
                use qubits and interference.  You said this all
                takes place in one world, but the total
                information content and computational capacity of
                the observable universe about 800 orders of
                magnitude less than 10^1000.

                You then added a sentence that suggested the
                intermediate computational states perhaps don't
                exist, but then how does the correct answer get
                into the output bits when we read it?

                David Deutsch said he has never seen a sensible
                answer to the question of how quantum computers
                work from the context of any single-universe
                interpretation.  Do you think your answer would
                satisfy him?

                All those "intermediate computation states" are so
                "numerous" because the state is being expressed as
                a superposition of qubit basis states.  From
                another viewpoint the state is just a single ray in
                Hilbert space that happens to not be orthogonal to
                any of those bases


            So in your view, are they real?

            What "they"?  There's only a single state.  It's like
            saying there are infinitely many tones in a square
            wave...just because you represented it as a Fourier
            series.  The are 2^1e4 potential measurement results,
            depending on what you choose to measure...but that's
            true in the classical case too.


        Do you agree the final states you measured were caused by
        the intermediate states of the computation?

        How many intermediate states of the computation are there?

        One.  It's a unitary evolution of the input state.


    We were speaking of computational states.  Are you saying there
    is only one computation state involved in Shor's algorithm?  What
    causes the interference necessary to yield the correct answer, if
    not these numerous computational states?

    The interference is in the measurement which Deutsch would say
    projects out onto one of the multiple worlds...the non-unitary step.


Does anyone claim interference happens during the measurement?  In the double slit experiment the interference happens when the two photons overlap in their position, not when they strike the photographic plate.

You write as though they were classical particles.  The wave function reaches the photographic plate and then there is an interaction which is greater or lesser depending on the interference pattern over the plate.

Deutsch says as much in his introduction to Fabric of Reality when speaking of shadow selves and shadow photons.

You can stop quoting Deutsch.  I think he's just a MWI envangelist.


In any case, you have still managed to avoid the question of the reality of the 10^1000 intermediate computational states.  I won't press for an answer if you don't have one.

I already gave the answer.  There is only one intermediate state. It just happens to have lots of components in the basis you used to express it.

Brent

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