THE PREVIOUSLY ANSWERED SOLUTION TO THIS PROBLEM WAS INCORRECT. PLEASE DO NOT JUST COPY AND PASTE THE SAME SOLUTION. I NEED AN ACTUAL DERIVATION WITH TRANSFORMATIONS. NOT JUST A WORD EXPLANATION. 5)...
5) In additional to single qubit gates, a quantum processor requires a two-qubit gate, such as controlled-NOT (CNOT) or controlled-Z (CZ) gates. Demonstrate that the CZ gate can be obtained as the transformation exp(-(in/4)σ(1)σ(2) followed by exp( (ir/4)t"4°) and exp((n/4)σ(1)σ(2)). There resulting gate is different from its standard definition by actore
5) In additional to single qubit gates, a quantum processor requires a two-qubit gate, such as controlled-NOT (CNOT) or controlled-Z (CZ) gates. Demonstrate that the CZ gate can be obtained as the transformation exp(-(in/4)σ(1)σ(2) followed by exp( (ir/4)t"4°) and exp((n/4)σ(1)σ(2)). There resulting gate is different from its standard definition by actore