Rx, Ry and Rz Rotation Operators of Spin 4 Systems in Quantum Information Theory
Abstract
Construction of higher spin systems and related rotation operators is important for the theoretical infrastructure that can be used in quantum information theory. It is expected that as the value of spin increases, it will give way to longer time in the computation with bigger data.
Spin operators up to spin-4 have been published in previous studies. In this work, explicit symbolic expressions of x, y and z components of rotation operators for spin-4 were worked out via exponential operator for each element of related spin operator matrices and simple linear curve fitting process. The procedures gave out exact expressions of each element of the rotation operators. It can be predicted that quantum rotation operators for higher spins, like spin-4, will theoretically and practically contribute to spin-based quantum information technology.
Keywords
References
- [1] Gruska, J., Quantum Computing, McGraw-Hill Publishing Company. UK, (1999) 439.
- [2] Bellac, M.A., A short Introduction To Quantum Information and Computation, (translated from French). Cambridge University Press. Berlin, (2006).
- [3] McMahon, D., Quantum computing, Explained. John Wiley & Sons. Inc. Publication. USA, (2008) 332.
- [4] Nakahara, M., Ohmi T., Quantum Computing From Linear Algebra to Physical Realizations, Taylor and Francis Books. Boca Raton, (2008).
- [5] Nielsen, M.A., Chuang I. L., Quantum Computation and Quantum Information, 10th Anniversary Ed, Cambridge University Press. Cambridge, New York, (2010).
- [6] Feynman R., Simulating physics with computers, Int. J. Theor. Phys., 21 (1982) 467–488.
- [7] Feynman, R., Quantum Mechanical Computers, Foundation of Physics, 16(6) (1986)507.
- [8] Wigner, E.P., Group theory and its applications to the quantum mechanics of atomic spectra, Academic Press. Los Mexico. Alamos, (1959).
Details
Primary Language
English
Subjects
Classical Physics (Other)
Journal Section
Research Article
Publication Date
September 30, 2022
Submission Date
March 5, 2022
Acceptance Date
July 1, 2022
Published in Issue
Year 2022 Volume: 43 Number: 3