**8. Acknowledgements**

Thanks to Colin W. Campbell for help with the English edition, to The School of Software Engineering, Yunnan University and The Key Laboratory of Yunnan Software Engineering for financial supports to the Information Security research projects (2010EI02, 2010KS06) and sub-CDIO project.

### **9. References**

28 Measurement Systems

**Prediction 6:** It will be much easier to design and implement key experiments to distinguish

In other words, under proposed variant measurements, the simplest effects are polarized properties in Left and Right matrices. Both D-P and D-W distributions are generated from pairs of polarized signals in general cases. In addition, significant differences can be observed between D-P and D-W distributions in asynchronous conditions. This set of theoretical predictions could help experimenters to design and implement effective experiments to check

Back to Young's waves and Newton's particles, Bohr's complementarity, EPR and Feynman's particle and wave conditions [Hawking & Mlodinow (2010); Jammer (1974); Penrose (2004)],

**Conjecture 1.** Measurement results of Newton-Einstein-Feynman particles and Variant D-P

This conjecture could be approved from listed models satisfied independent conditions. From this viewpoint, Newton-Einstein-Feynman particle models and Variant D-P models could satisfy Bell Inequalities. Bell Inequations at most could provide only a logical foundation

**Conjecture 2.** Measurement results of Young-Bohr-Feynman waves and Variant D-W models

Since the Local Realism cannot be supported by quantum construction, a solid foundations is required to validate this conjecture using complex-probability conditions for different

Analyzing a *N* bit 0-1 vector and its exhaustive sequences for variant measurement, from a double path experiment viewpoint, this system simulates double path interference properties through different accurate distributions from local interactive measurements to global matrix representations. Using this model, two groups of parameters {*uβ*} and {*vβ*} describe left path, right path, and double paths for particles and double paths for waves with distinguishing symmetry and anti-symmetry properties. {*PH*(*uβ*|*J*), *PH*(*vβ*|*J*)} provide eight groups of distributions under symmetry and anti-symmetry forms. In addition, {*M*(*uβ*), *M*(*vβ*)}

Compared with the variant quaternion and other quaternion measurements, it is helpful to

productions. How to overcome the limitations imposed by such complexity and how best to compare and contrast such simulations with real world experimentation will be key issues

and exhaustive vector space

<sup>×</sup> <sup>2</sup>*N*) as ultra exponent

provide eight matrices to illustrate global behaviors under complex conditions.

understand the usefulness and limitations of variant simulation properties.

The complexity of *n*-variable function space has a size of 22*<sup>n</sup>*

has 2*N*. Whole simulation complexity is determined by *O*(22*<sup>n</sup>*

D-P and D-W behaviors in asynchronous conditions than in synchronous conditions.

variant measurements under real quantum environments.

it is essential to list two conjectures to summarize our results as follows:

**6.4 Two conjectures**

models must obey Bell Inequations.

satisfy the same types of entanglement conditions.

entanglements in real quantum environments.

for different particle models.

**7. Conclusion**

in future work.


30 Measurement Systems

400 Advanced Topics in Measurements

Fine, A. (1999). Locality and the hardy theorem, *in From Physics to Philosophy, Cambridge*

Grangier, P., Roger, G. & Aspect, A. (1986). Experimental evidence for a photon anticorrelation

Healey, R., Hellman, G. & Edited. (1998). *Quantum Measurement: Beyond Paradox*, Uni.

Jacques, V., Lai, N., Dr*e*´au, A., Zheng, D., Chauvat, D., Treussart, F., Grangier, P. & Roch, J.

Merali, Z. (2007). Parallel universes make quantum sense, *New Scientist* 2622. http://space.newscientist.com/article/mg19526223.700-parallel-universes-make-

Schleich, W. P., Walther, H. & Edited (2007). *Elements of Quantum Information*, Wiley-VCH

von Neumann, J. (1932,1996). *Mathematical Foundations of Quantum Mechanics*, Princeton Univ.

Zeh, H. D. (1970). On the interpretation of measurement in quantum theory, *Foundation of*

Zeilinger, A., Weihs, G., Jennewein, T. & Aspelmeyer, M. (2005). Happy centenary, photon,

Zheng, J. (2011). Synchronous properties in quantum interferences, *Journal of Computations &*

Zheng, J. & Zheng, C. (2010). A framework to express variant and invariant functional

Zheng, J. & Zheng, C. (2011a). Variant measures and visualized statistical

Zheng, J., Zheng, C. & Kunii, T. (2011). A framework of variant-logic construction

spaces for binary logic, *Frontiers of Electrical and Electronic Engineering in China, Higher*

distributions, *Acta Photonica Sinica, Science Press* 40(9). 1397-1404. URL: *http://www.photon.ac.cn/CN /article/downloadArticleFile.do?attachType=PDF&id=15668* Zheng, J. & Zheng, C. (2011b). Variant simulation system using quaternion structures, *Journal*

for cellular automata, *Cellular Automata - Innovative Modelling for Science and Engineering edited Dr. A. Salcido, InTech Press*. 325-352. URL: *http://www.intechopen. com/articles/show/title/a-framework-of-variant-logic-construction-for-cellular-automata*

Jammer, M. (1974). *The Philosophy of Quantum Mechanics*, Wiley-Interscience Publication. Lindner, F., Schätzel, M. G., Walther, H., Baltuska, A., Goulielmakis, E., Krausz, F., Milosevic,

Hawkingand, S. & Mlodinow, L. (2010). *The Grand Design*, Bantam Books.

a grating, *New J. Phys.* 10. 123009, arXiv:0807.5079.

Penrose, R. (2004). *The Road to Reality*, Vintage Books, London.

*Modelling, International Scientific Press* 1(1). 73-90.

*of Modern Optics, Taylor & Francis Group*. iFirst 1-9. URL: *http://dx.doi.org/10.1080/09500340.2011.636152*

*Education Press and Springer* 5(2): 163–172.

URL: *http://www.scienpress.com/upload/JCM/Vol%201\_1\_6.pdf*

URL: *http://www.springerlink.com/content/91474403127n446u/*

Verlag GmbH & Co KGaA Weinheim. SEP (2009). Bell's theorem, *Stanford Encyclopedia of Philosophy* . URL: *http://plato.stanford.edu/entries/bell-theorem/*

effect on a beam splitter: A new light on single-photon interferences, *Europhys. Lett.*

(2008). Illustration of quantum complementarity using single photons interfering on

D. B., Bauer, D., Becker, W. & Paulus, G. G. (2005). Attosecond double-slit experiment,

*University Press* .

Minnesota Press.

1. 173-179.

Fox, M. (2006). *Quantum Optics*, Oxford Uni. Press.

*Physical Review Letters* 95. 040401.

quantum-sense.html.

Press.

*Physics* 1. 69-76.

*Nature* 433. 230-238.
