Issues of studying quantum entanglement by students of physics specialties at universities

  • Candidate of Physical and Mathematical Sciences, Professor, Karakalpak State University named after Berdakh
  • Doctor of Philosophy in Pedagogical Sciences, Karakalpak State University named after Berdakh

DOI

https://doi.org/10.47689/2181-1415-vol5-iss4-pp35-44

Keywords

quantum mechanics , quantum entanglement , superposition principle , quantum states , Mach-Zehnder interferometer , Mathematica computer algebra system , interference of entangled photons , computer demonstration , quantum teleportation , quantum mechanics course program

Abstract

The paper is devoted to the methodology of studying the phenomenon of quantum entanglement in the course of quantum mechanics for students majoring in Physics. It is shown that it is important for university students to know about quantum entanglement, which is a key part of quantum mechanics, since it is necessary for understanding various interpretations of quantum mechanics and future technologies related to this field.

The experiments conducted on the Mach-Zehnder interferometer are one of many experiments that convinced physicists that quantum mechanics cannot be described in terms of classical mechanics. In the case of the phenomenon under study, the photon does not follow one specific trajectory but must be described in terms of a quantum superposition of many trajectories.

It is proposed to study the phenomenon of quantum entanglement after mastering such topics as the postulates of quantum mechanics, the Schrödinger equation, the superposition principle, and the measurement problem, as well as after solving well-known traditional problems related to the semiclassical case. These topics create the necessary background and motivation for understanding the concept of entanglement and its implications for quantum systems. As an experimental technique, a demonstration of the operation of the simplest Mach-Zehnder interferometer manufactured by LD Didactic GmbH is proposed. For a computer demonstration of the phenomenon under study, the Mathematica computer algebra system and Wolfram products are used. As a result, it becomes possible to clearly show that quantum particles can be in a state of superposition, and thus the interferometer used is a powerful tool for revealing the fundamental nature of quantum mechanics.

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References

Duarte, F. J. (2020). Fundamentals of quantum entanglement (2nd ed.). IOP Publishing.

Duarte, F. J., & Taylor, T. S. (2021). Quantum entanglement engineering and applications. IOP Publishing, Bristol, UK. 218 p.

Scarani, V. (2006). Quantum physics. A first encounter. Interference, entanglement, Ansreality. Oxford University Press.

Bengtsson, I., & Życzkowski, K. (2017). Geometry of quantum states. An introduction to quantum entanglement. Second Edition. Cambridge University Press.

Clifton, R. (2004). Quantum entanglements. Selected papers. Oxford University Press.

Федоров, А. К., Киктенко, Е. О., Хабарова, К. Ю., & Колачевский, Н. Н. (2023). Квантовая запутанность, телепортация и случайность: Нобелевская премия по физике 2022 года. УФН, 193(9), 1162–1172.

Kashani, S., & Zaret, D. (2023, February 15). Using the Julia framework to teach quantum entanglement. arXiv preprint arXiv:2302.12889.

The World’s Top Ten Quantum Tech Universities and Research Institutions. (2021, January 19). Retrieved from https://thequantuminsider.com/2021/01/19/the-worlds-top-ten-quantum-tech-universities-and-research-institutions/: https://thequantuminsider.com/2021/01/19/the-worlds-top-ten-quantum-tech-universities-and-research-institutions/.

Kohnle, A., & Deffebach, E. (2015, December 8). Investigating student understanding of quantum entanglement. arXiv preprint arXiv:1512.02629.

Jacubowiez, L., & Coe, H. (2022, January 1). Quantum entanglement in the lab. Photoniques (Photoniques), 113, 26-31.

Laloe, F. (2004, November 14). Do we really understand quantum mechanics? Strange correlations, paradoxes and theorems. arXiv preprint arXiv:quant-ph/0209123v2.

Benatti, F., Floreanini, R., Franchini, F., & Marzolino, U. (2020). Quantum entanglement in many-body systems. Physics Reports, 878, 1-27.

Johann, T. J. F., & Marzolino, U. (2021). Locality and entanglement of indistinguishable particles. Scientific Reports, 11, Article number: 15478.

Pereira, A., Ostermann, F., & Cavalcanti, C. (2009). On the use of a virtual Mach–Zehnder interferometer in the teaching of quantum mechanics. Physics Education, 44(3), 281-291.

Zetie, K. P., Adams, S. F., & Tocknell, R. M. (2000). How does a Mach–Zehnder interferometer work? Physics Education, 35(1), 46-48.

Rioux, F. Using a Mach-Zehnder Interferometer to Illustrate Feynman’s Sum Over Histories Approach to Quantum Mechanics. Retrieved from https://chem.libretexts.org.

Barchielli, A., & Gregoratti, M. (2021). Quantum optomechanical system in a Mach-Zehnder interferometer. Physical Review A, 104. (arXiv:2101.09011v2 [quant-ph] 24 Jun 2021).

Vedral, V. (2006). Introduction to Quantum Information Science (pp183). Oxford University Press.

Dederík, E., & Beck, M. (2014). Exploring entanglement with the help of quantum state measurement. American Journal of Physics, 82(5), 962–971.

Hobson, A. (2017). Quantum measurements. American Journal of Physics, 85(5), 260–271.

Schmied, R. (2020). Using Mathematica for Quantum Mechanics: A Student’s Manual. (pp. 193). Springer.

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Issues of studying quantum entanglement by students of physics specialties at universities

How to Cite

Abdikamalov , B., & Khojanazarova, R. (2024). Issues of studying quantum entanglement by students of physics specialties at universities. Society and Innovation, 5(4), 35–44. https://doi.org/10.47689/2181-1415-vol5-iss4-pp35-44