Qudits of Multi-Single Slits, Multi-Double Slits and Multi-Triple Slits --- Corresponding to Octal System, Decimal System, Duodecimal System, Hexadecimal System

Hui Peng^1, and James L. Peng¹

¹James Peng Lab, Fremont, CA USA

Cite this paper:
Hui Peng and James L. Peng. Qudits of Multi-Single Slits, Multi-Double Slits and Multi-Triple Slits --- Corresponding to Octal System, Decimal System, Duodecimal System, Hexadecimal System. International Journal of Physics. 2024; 12(2):65-67. doi: 10.12691/ijp-12-2-1

Abstract

One of tasks of quantum computing research is to reduce the components utilized for reaching certain computation power. To significantly reduce the components, we propose four kinds of Qudits of higher-dimension, multi-folds higher than the two-dimension of the qubits, which are respectively formed by: (1) multi-single-slits; (2) multi-double-slits (multi-Qubits); (3) multi-triple-slits (multi-Qutrits); and (4) combination of above. The further advantage is that the so formed Qudits may adopt Octal Number System, Decimal Number System, Duodecimal Number System, and Hexadecimal Number System, respectively.

Keywords:
qudits qubits qutrits single slit double slit triple slits Octal system Decimal system Duodecimal system Hexadecimal system

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]	R. Feynman, “Simulating physics with computer”, Inter. J. of Theor. Phys. 21(6/7) 467-488, (1982).
[2]	Frank Arute, et al. "Quantum supremacy using a programmable superconducting processor". Nature. 574 (7779): 505–510 (2019).
[3]	N. Schwaller, er.al., “Evidence of the entanglement constraint on wave-particle duality using the IBM Q quantum computer”. Phys. Rev. A 103, 022409.
[4]	Staff, "Physicists 'entangle' individual molecules for the first time, hastening possibilities for quantum computing". Phys.org. Archived from the original on 8 December 2023.
[5]	Bluvstein, Dolev, et al., "Logical quantum processor based on reconfigurable atom arrays". arXiv:2312.03982.
[6]	Jr, Sydney J. Freedberg. "'Off to the races': DARPA, Harvard breakthrough brings quantum computing years closer". Breaking Defense. Retrieved 9 December 2023.
[7]	M. A. Nielsen and I. Chuang, “Quantum Computation and Quantum Information. Cambridge University Press. p. 13. ISBN 978-1-107-00217-3. (2010)
[8]	U. Sinha, “Quantum Slits Open New Doors”, Scientific American, Jan.1 (2020).
[9]	P.B. R. Nisbet-Jones, “Photonic qubits, qutrits and ququads accurately prepared and delivered on demand”, arXiv:1203.5614.
[10]	G. Rengaraj et.al., “Measuring Deviation from superpositionprinciple in interference experiments”, New Journal of Physics, 20 Article #063049 (2018).