WebThe matrix representations and quantum circuits of CNOT and CZ are shown in Fig. 1 and Fig. 2, respectively. Finally, for triple-qubit gates, Toffoli gate is another frequently used... Web2 jun. 2024 · Considering the matrix Z = ( 1 0 0 − 1) it is understandable that Z 0 = 0 and Z 1 = − 1 . It is explained here that Z gate is π rotation around the Z axis. Then, how should I understand Z 1 = − 1 ? Since 1 is the south pole, I feel it is natural to think that π rotation around the Z axis does not do anything. quantum-gate
Quantum Computing for Everyone - Part II: …
WebThe vector you're trying to apply the gate to is wrong. The matrix representation lives on the two-qubit space $\mathbb{C}^4$ with basis $\lvert 00\rangle,\lvert 01\rangle,\lvert … WebThe vector you're trying to apply the gate to is wrong. The matrix representation lives on the two-qubit space $\mathbb{C}^4$ with basis $\lvert 00\rangle,\lvert 01\rangle,\lvert 10\rangle,\lvert 11\rangle$, where the first number is for the control qubit and the second one for the target. chrome pc antigo
Quantum Gates. A step-by-step walk-through of some… by
Web16 jun. 2024 · To determine how a qubit's state changes after being operated on by a gate, the matrix of the qubit's current state is multiplied by the matrix of the gate operating on the qubit. A specific example of this … Web9 nov. 2010 · We experimentally demonstrate quantum process tomography of controlled-Z and controlled-NOT gates using capacitively coupled superconducting phase qubits. These gates are realized by using the $ 2 $ state of the phase qubit. We obtain a process fidelity of 0.70 for the controlled phase and 0.56 for the controlled-NOT gate, with the loss of … Quantum logic gates are represented by unitary matrices. A gate which acts on qubits is represented by a unitary matrix, and the set of all such gates with the group operation of matrix multiplication is the symmetry group U(2 ). The quantum states that the gates act upon are unit vectors in complex dimensions, with the complex Euclidean norm (the 2-norm). The basis vectors (sometimes called eige… chrome pdf 转 图片