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This Markdown includes the implementation of the original circuit on IBM Composer and the Results:

This Circuit included only simple implementation for the process and tested using 0 and 1 only. but the number can be increased using more states.

The circuit implementation: (the Transpiled circuit is shown in another Markdown)

original-circuit-2

The Q-Sphere showing the results

Q-Sphere_Circuit

The Probabilities of the Output states:

As shown in the Truth Table, we have 4 possible states of 000, 010, 001 and 111 where the one at the far left is our out put.

Probability_Original_Circuit

Another Probablitity for the Out Put:

Probabilties_Original_Circuit

The Truth Table for the Circuit:!

Screen Shot 2023-09-15 at 11 32 37 PM