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Reply to “Comments on ‘There Is No Axiomatic System for the Quantum Theory’”

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http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52398#.VJOW9cCAM4

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Barros discusses that [Jose Acacio de Barros, Int. J. Theor. Phys. 50, 1828 (2011)] Nagata derives inconsistencies from quantum mechanics [K. Nagata, Int. J. Theor. Phys. 48, 3532 (2009)]. Barros considers that the inconsistencies do not come from quantum mechanics, but from extra assumptions about the reality of observables. Here we discuss the fact that there is a contradiction within the quantum theory. We discuss the fact that only one expected value in a spin-1/2 pure state 〈σx〉rules out the reality of the observable. We do not accept extra assumptions about the reality of observables. We use the actually measured results of quantum measurements (raw data). We use a single Pauli observable. We stress that we can use the quantum theory even if we give up the axiomatic system for the quantum theory.
Cite this paper
Nagata, K. (2014) Reply to “Comments on ‘There Is No Axiomatic System for the Quantum Theory’”. Journal of Quantum Information Science, 4, 195-200. doi: 10.4236/jqis.2014.44018. 
 

[1] Acacio de Barros, J. (2011) Comments on “There Is No Axiomatic System for the Quantum Theory”. International Journal of Theoretical Physics, 50, 1828-1830.
http://dx.doi.org/10.1007/s10773-011-0696-z
[2] Nagata, K. (2009) There is No Axiomatic System for the Quantum Theory. International Journal of Theoretical Physics, 48, 3532-3536.
http://dx.doi.org/10.1007/s10773-009-0158-z
[3] Wikipedia (2014) Double-Slit Experiment.
http://en.wikipedia.org/wiki/Double-slit_experiment
[4] Wikipedia (2014) De Broglie-Bohm Theory.
http://en.wikipedia.org/wiki/De_Broglie%E2%80%93Bohm_theory
[5] Schon, C. and Beige, A. (2001) Analysis of a Two-Atom Double-Slit Experiment Based on Environment-Induced Measurements. Physical Review A, 64, Article ID: 023806.
http://dx.doi.org/10.1103/PhysRevA.64.023806
[6] Nagata, K. and Nakamura, T. (2010) Can von Neumann’s Theory Meet the Deutsch-Jozsa Algorithm? International Journal of Theoretical Physics, 49, 162-170.
http://dx.doi.org/10.1007/s10773-009-0189-5
[7] Nagata, K. and Nakamura, T. (2013) An Additional Condition for Bell Experiments for Accepting Local Realistic Theories. Quantum Information Processing, 12, 3785-3789.
http://dx.doi.org/10.1007/s11128-013-0635-4                eww141219lx
[8] Nagata, K. and Nakamura, T. (2013) Von Neumann’s Theory Does Not Meet Deutsch’s Algorithm. Precision Instrument and Mechanology, 2, 104.
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