Presentation Quantum Computation Based on Many Level Quantum System and SU(n) Cohered States and Qubit, Qutrit and Qubit Using Nuclear Magnetic Resonance Technique and Nuclear Quadrupole Resonance

Abstract: In this article we have considered the effect of a magnetic field, the Zeeman effect, nuclear magnetic resonance (NMR) and nuclear quadrupole resonance (NQR) on nuclei with spin S ½ looked. Then energy levels, transition frequencies and the energy spectra for the nuclear spins have specified. After using the group definition SU(2), SU(3), SU(4), SU(N) OR SU(2S+1), In quantum mechanics and quantum computation the range nuclear energy levels sin to one qubit, qutrit and qudit assign. We have defined the quantum states