Formation of Matrices of S = 1, S = 3/2 Spin Systems in Quantum Information Theory

Year 2018, Volume: 7 Issue: 2, 9 - 12, 28.08.2018

Mehpeyker Kocakoç , Recep Tapramaz

Abstract

There
are many methods for designing quantum computers, which are generated by rapid
progress of computer technology. In this work, it is aimed to find matrices and
processors by using an algorithm for spin 1 and 3/2, which can be observed with
EPR spectroscopy and used for Quantum information processing. Spin matrices or
processors that can be formed using the basic properties of processors. Some of
the spin processors, some of which are known, are the most well-known Pauli
spin matrices, which can be found in various sources, but are computed with an
algorithm for convenience in practice. Matrix representations for s= 1 and 3/2
are found in the theoretical calculations. In addition to the s = 1/2 spin
operators given in the literature, matrix representations of spin processors and
spin systems are found for s = 1 and s = 3/2 using an algorithm. Thus it can be
used in theoretical studies and applications in quantum information theory. For
other spin systems spin operators can be created.

Keywords

Spin systems, Quantum computing, Qutrit, Quantum information theory, Spin processor

References

• Mahmut HEKİM, Gaziosmanpasa University
• Ahmet FENERCİOGLU, Gaziosmanpaşa University
• Sertac Öztürk, Gaziosmanpasa University, Turkey