Fredkin Gate acts on the Quantum Bits for a System Includes Four Particles

Abstract

In this research, the effect of Fredkin gate on a system consists of four
particles is considered. The number of states of this system is n=24=16,
these states are (|0000>, |0001>, |0010>, |0011>, |0100>, |0101>, |0110>,
|0111>, |1000>, |1001>, |1010>, |1011>, |1100>, |1101>, |1110>, |1111>).
When Fredkin gate is applied on these states most of them remains without
change except some of the states will be changed. The features of the gate
process can be utilized in quantum information computations.