Question: Write down the matrix representation of Fredkin ( controlled - swap ) gate and Toffoli ( CCNOT ) gate, ( 2 ) Demonstrate how to

Write down the matrix representation of Fredkin (controlled-swap) gate and Toffoli (CCNOT) gate, (2) Demonstrate how to construct a Fredkin gate using three Toffoli gates, (3) Verify the Toffoli gate can be implemented using H, CNOT, T, and S gates as illustrated below.

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