The CNOT (or controlled Pauli-X) gate can be described as the gate that maps the basis states |, |, , where is XOR. The CNOT can be expressed in the Pauli basis as: CNOT = e i π 4 ( I − Z 1 ) ( I − X 2 ) = e − i π 4 ( I − Z 1 ) ( I − X 2 ) . {\displaystyle {\mbox{CNOT}}=e^{i{\frac {\pi }{4}}(I-Z_{1})(I-X_{2})}=e^{-i{\frac {\pi }{4 ...

May 27, 2021 · First, note that the Controlled-X gate can be written as: CX = |0 0| ⊗ I +|1 1| ⊗ X C X = | 0 0 | ⊗ I + | 1 1 | ⊗ X. This tells us that the first qubit is the controlled, and the second qubit is the target. And when the controlled qubit is |0 | …

Controlled-Z gate. This is a Clifford and symmetric gate. Can be applied to a QuantumCircuit with the cz() method. Circuit symbol:

Quamtum Gate - Controlled Z. The Controlled-Z (CZ) gate is a two-qubit gate used in quantum computing. It operates on a pair of qubits, with one qubit acting as the control and the other as the target.

Qiskit offers such circuits readily in the circuit library, where you have many different possibilities to implement your multi-controlled Z gate. Using the MCMT (multi-controlled multi-target circuit) is one option.

For the implementation of a certain quantum algorithm, I need to construct a multi-qubit (in this case, a three-qubit) controlled-Z gate from a set of elementary gates, as shown in the figure below...

Controlled Z (CZ) gate is one of controlled phase gates. See discussed in Section 7.3. 7.2.1. Definition. When gate CZ q 0 q 1 acts on | q 1 q 0 , Z is applied to q 1 if q 0 = 1 and nothing is done otherwise. Qubit q 0 serves as control qubit and q 1 …

Aug 6, 2023 · Decoding the Controlled-Z (cz) Gate. The controlled-Z (cz) gate is another multi-qubit gate with a unique behaviour. It performs a Z operation on the target qubit if and only if the control...

Aug 30, 2023 · To combat the increased flux-noise-induced dephasing away from the flux-insensitive position, we use a continuous version of the dynamical decoupling scheme to perform noise filtering. Combining these, we demonstrate a 20 ns controlled-Z (CZ) gate with a mean fidelity of 99.53%.

results apply to a multiqubit device that includes strongly coupled memory resonators. We investigate the performance of the qubit-bus CZ gate as a function of qubit anharmonicity, identify the dominant intrinsic error mechanism and derive an associated fidelity estimator, quantify the pulse shape sensitivity and precision requirements, simulat...