In computer science, the controlled NOT gate (also C-NOT or CNOT), controlled-X gate, controlled-bit-flip gate, Feynman gate or controlled Pauli-X is a...

Clifford group is generated by three gates: Hadamard, phase gate S, and CNOT. This set of gates is minimal in the sense that discarding any one gate results...

CNOT = [ 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 ] . {\displaystyle {\mbox{CNOT}}={\begin{bmatrix}1&0&0&0\\0&1&0&0\\0&0&0&1\\0&0&1&0\end{bmatrix}}.} The CNOT...

control input to the CNOT gate, which only inverts the target (the second qubit) when the control (the first qubit) is 1. Thus, the CNOT gate transforms the...

CCNOT gate (“controlled-controlled-not”), invented by Tommaso Toffoli, is a CNOT gate with two control qubits and one target qubit. That is, the target qubit...

for computational stages using Hadamard, CNOT, and Phase gates, respectively, and reference shows that the CNOT stage can be implemented using O ( n 2 /...

quantum computing, as any quantum gate can be created by a combination of CNOT gates and single-qubit rotations. It is therefore important that a trapped-ion...

definition, CNOT ⁡ | 00 ⟩ = | 00 ⟩ {\textstyle \operatorname {CNOT} |00\rangle =|00\rangle } , CNOT ⁡ | 01 ⟩ = | 01 ⟩ {\textstyle \operatorname {CNOT} |01\rangle...

quantum entanglement. When a controlled operation, such as a Controlled NOT (CNOT) gate, is applied to two qubits, the phase of the second (target) qubit is...

) CNOT {\displaystyle G=(H\otimes I)\operatorname {CNOT} } where H is the one qubit Walsh-Hadamard gate and CNOT {\displaystyle \operatorname {CNOT} }...