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光子位相を介したベルの不等式の破れに対する局所実在論的説明

##article.authors##

  • 森本, 政仁 独立研究者

DOI:

https://doi.org/10.51094/jxiv.5611

キーワード:

ベルの不等式の破れ、 CHSH、 光子位相、 もつれ光子

抄録

光子を用いた量子もつれ実験におけるベルの不等式の破れについて、初歩的な干渉縞の式のみを用いて、長距離相関のない局所実在論から全く同じ結果を導出できることを示す。本論文で使用する数学は三角関数の公式のみであり、特殊な前提や定義等は一切不要である。

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引用文献

A. Einstein, B. Podolsky, and N. Rosen. Can quantum-mechanical description of physical reality be considered complete’ ? Phys. Rev, Vol. 47, pp. 777–780, May 1935.

JOHN S. BELL. On the problem of hidden variables in quantum mechanics. Rev. Mod. Phys., Vol. 38, pp.

–452, Jul 1966.

John F. Clauser, Michael A. Horne, Abner Shimony, and Richard A. Holt. Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett., Vol. 23, pp. 880–884, Oct 1969.

B. S. Cirel’son. Quantum generalizations of bell’s inequality. Letters in Mathematical Physics, Vol. 4, pp. 93–100, 1980.

Marissa Giustina, Marijn A. M. Versteegh, S¨oren Wengerowsky, Johannes Handsteiner, Armin Hochrainer, Kevin Phelan, Fabian Steinlechner, Johannes Kofler, Jan-Åke Larsson, Carlos Abell´an, Waldimar Amaya, Valerio Pruneri, Morgan W. Mitchell, J¨orn Beyer, Thomas Gerrits, Adriana E. Lita, Lynden K. Shalm, Sae Woo Nam, Thomas Scheidl, Rupert Ursin, Bernhard Wittmann, and Anton Zeilinger. Significantloophole-free test of bell’s theorem with entangled photons. Phys. Rev. Lett., Vol. 115, p. 250401, Dec 2015.

Nicolas Brunner, Daniel Cavalcanti, Stefano Pironio, Valerio Scarani, and Stephanie Wehner. Bell

nonlocality. Rev. Mod. Phys., Vol. 86, pp. 419–478, Apr 2014.

Masahito Morimoto. Unobservable potentials to explain a quantum eraser and a delayed-choice experiment. Progress In Electromagnetics Research M, Vol. 62, pp. 111–122, 2017.

S. Benedetto and P. Poggiolini. Theory of polarization shift keying modulation. IEEE Transactions on

Communications, Vol. 40, No. 4, pp. 708–721, 1992.

Kazuro Kikuchi. Fundamentals of coherent optical fiber communications. Journal of Lightwave

Technology, Vol. 34, No. 1, pp. 157–179, 2016.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, S. De Silvestri, and L. Sansone.

Measurement of the phase of few-cycle laser pulses. Phys. Rev. Lett., Vol. 91, p. 253004, 2003.

Y. Aharonov and D. Bohm. Significance of electromagnetic potentials in the quantum theory. Phys. Rev., Vol. 115, pp. 485–491, Aug 1959.

Michael Victor Berry. Quantal phase factors accompanying adiabatic changes. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol. 392, No. 1802, pp. 45–57, 1984.

S. Pancharatnam. Generalized theory of interference, and its applications. Proceedings of the Indian

Academy of Sciences - Section A, Vol. 44, pp. 247–262, November 1956.

S. Pancharatnam. Generalized theory of interference, and its applications. Proceedings of the Indian

Academy of Sciences - Section A, Vol. 44, pp. 398–417, December 1956.

Masahito Morimoto. Unobservable potentials to explain single photon and electron interference. Journal of Computational and Theoretical Nanoscience, Vol. 14, No. 8, pp. 4121–4132, 2017.

Masahito Morimoto. Consideration of covariant quantization of electromagnetic field, arXiv:1806.02175, 2018.

Masahito Morimoto. The reconstruction of the quantum theory utilizing indefinite metric derived from covariant quantization, Researchgate, DOI:10.13140/RG.2.2.17439.38560, 10 2020.

J. D. Trimmer. The present situation in quantum mechanics: A translation of Schr¨odinger’s ”cat paradox” paper. Proceedings of the American Philosophical Society, Vol. 124, No. 5, pp. 323–338, Oct 1980

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投稿日時: 2026-07-16 12:41:56 UTC

公開日時: 2026-08-07 00:09:27 UTC
研究分野
物理学