Dear Sirs!

Physics of Descartes, which existed prior to the physics of Newton returned as the New Cartesian Physic and promises to be a theory of everything. To tell you this good news I use «spam».

New Cartesian Physic based on the identity of space and matter. It showed that the formula of mass-energy equivalence comes from the pressure of the Universe, the flow of force which on the corpuscle is equal to the product of Planck's constant to the speed of light.

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Sincerely,

Dizhechko Boris

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  • Post #22

Colin,

You might find this paper on Classical entanglement to be of some interest.

It is worth noting the discussion (section C) on detection efficiency. My vixra paper reports the double detection efficiency. But, since that cannot be directly measured experimentally, most other papers report only a conditional detection efficiency. The latter is equal to the square root of the former (sqrt(0.72) = 0.85) for the model in my paper.

Rob McEachern

Hi Rob and Jonathan,

Thanks for the link to Danforth's paper on classical entanglement.

A draft of my second paper on quantum correlations has been posted at sites.google.com/site/quantcorr. There is also a file with C functions for calculating correlations based on the "geometric probability" of crossing a threshold. The detection rate is mentioned briefly, but I will have to look into Danforth's discussion.

I am just starting to get back to work on CHSH, after being away from it for some time. It seems like just a matter of using the results of Bell-like correlations. Might as well look at GHZ test as well.

Colin

Thanks Colin..

I'll check that out. And Rob's recommendation too.

JJD

Colin,

Here is another idea that you might like to consider. I mentioned to you previously that the Fourier transform of the triangular classical curve, consists of odd harmonics, in which the fundamental is a scaled version of the quantum correlation curve. I also mentioned that instead of assigning the same value to all the polarity pixels on a half-coin, a more sophisticated coding could be used. Now imagine combining those two ideas: for example, a coin with alternating values every 30 degrees i.e. the third harmonic, and another alternating every 18 degrees (the fifth harmonic) etc. Producing a coded coin as a weighted sum of those harmonic coins (with appropriate phase-shifts; i.e. rotations), might enable a better match between the classical and quantum curves, with a higher detection efficiency, by building the harmonic relationship between the classical and quantum correlation curves, into the coding of a coin's polarity. Comparing measured polarities (matched filter outputs) from different sectors might even enable a crude form of bit-error detection.

Rob McEachern

Colin,

By the way, here is the reason I mentioned detector efficiency in my earlier post:

In A strong loophole-free test of local realism on page 4, the authors claim that:

"Alice and Bob have system detection efficiencies of 74.7±0.3% and 75.6±0.3%, respectively... These background counts in our system raise the efficiency needed to violate a Bell inequality from 2/3 to 72.5%."

In other words, the authors claim to have eliminated the possibility of a detection loophole, even though their detection efficiency is well below the conditional detection efficiency obtainable via the single-bit-of-information, classical model.

Rob McEachern

Hi Rob. There is certainly a difference in detector efficiency between the coin and vector models. I just checked that the detection efficiency for the noisy vector models is always less than 70%, whether using linear or cosine projection - compared to 72% for your coin model. I would suppose that the two-dimensionality of the surface of the coin must make the difference, somehow.

It is still not clear how to calculate signal to noise ratio for the coin. The vector model essentially takes all the noise samples from the coin added together, as the final position of a random walk, resulting in a single random sample. Perhaps that is an approach worth considering for the coin's SNR, even though it seems to go against dimensionality making the difference.

Your last idea, about getting a better fit to the theoretical quantum correlation by noise-coding the coins (or vectors), is intriguing. Posing the problem as minimization of error to determine operational parameters could be challenging, so a computerized search would likely be involved. - Colin

Colin,

Note that the matched filter detection implemented in my model, is far from an optimal detector. If there was any external noise in the system, in addition to the intrinsic noise of the coin, the matched filter would increase the noise power without any corresponding increase in signal power, since it extends far beyond the edges of the coins. An actual matched filter would duplicate the filter used within the coins, to eliminate this problem. I deliberately did not do this in the paper, since it would make the paper and figure harder to understand by the physics community, that has little or no intuitive understanding of such issues.

Another issue is aliasing. Since the image extends only a limited distance beyond the edge of the coin, high frequencies fold-back into the image without being properly attenuated by the filter. These types of issues, along with many others, could easily contribute a 1% error, such as you have observed.

By the way, we ought to move this discussion to a more appropriate web-page. On FQXi, a better choice might be the newly created Quickfire Quantum Qs

I will post a figure and comment there, pertaining to the odd harmonic series of the classical correlation curve as compared to the quantum correlation curve, and a possible connection with detector efficiencies.

Rob McEachern

Hi Rob. I will keep an eye on the QQQ page. The connection between quantum correlations and a 1-bit process should attract interest. Trying to replicate the perfect sinusoidal quantum correlation might be a little obscure as an introduction, but there are many related questions to consider. - Colin

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