We apply a controlled-NOT operator on two probabilistic bits where the second one is the controlled bit and the first one is the target bit.Which of the following matrix represent this operator?Group of answer choices⎛⎝⎜⎜⎜⎜1000010000010010⎞⎠⎟⎟⎟⎟(1000010000010010) ⎛⎝⎜⎜⎜⎜0001001001001000⎞⎠⎟⎟⎟⎟(0001001001001000) ⎛⎝⎜⎜⎜⎜1000001001000001⎞⎠⎟⎟⎟⎟(1000001001000001) ⎛⎝⎜⎜⎜⎜1000000100100100⎞⎠⎟⎟⎟⎟(1000000100100100) ⎛⎝⎜⎜⎜⎜1000010000100001⎞⎠⎟⎟⎟⎟(1000010000100001)

The controlled-NOT operator, also known as the CNOT gate, is a quantum logic gate that is an essential part of a quantum computer. In a CNOT gate, one qubit (the control qubit) can flip the state of the second qubit (the target qubit) from |0⟩ to |1⟩ or vice versa.

The matrix representation of a CNOT gate with the second qubit as the control and the first as the target is:

⎛⎝⎜⎜⎜⎜ 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 ⎞⎠⎟⎟⎟⎟

So, the correct answer is the matrix that matches this pattern. Unfortunately, none of the provided matrices match this pattern. There might be a mistake in the question or the provided answer choices.