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  2. Quantum logic gate - Wikipedia

    en.wikipedia.org/wiki/Quantum_logic_gate

    The rotation operators R x (θ), R y (θ), R z (θ), the phase shift gate P(φ) [c] and CNOT are commonly used to form a universal quantum gate set. [20] [d] The Clifford set {CNOT, H, S} + T gate. The Clifford set alone is not a universal quantum gate set, as it can be efficiently simulated classically according to the Gottesman–Knill theorem.

  3. List of quantum logic gates - Wikipedia

    en.wikipedia.org/wiki/List_of_quantum_logic_gates

    Arbitrary single-qubit phase shift gates () are natively available for transmon quantum processors through timing of microwave control pulses. [13] It can be explained in terms of change of frame. [14] [15] As with any single qubit gate one can build a controlled version of the phase shift gate.

  4. Clifford gates - Wikipedia

    en.wikipedia.org/wiki/Clifford_gates

    In quantum computing and quantum information theory, the Clifford gates are the elements of the Clifford group, ... An example is the phase shift gate ...

  5. Quantum cognition - Wikipedia

    en.wikipedia.org/wiki/Quantum_cognition

    Quantum cognition uses the mathematical formalism of quantum probability theory to model psychology phenomena when classical probability theory fails. [1] The field focuses on modeling phenomena in cognitive science that have resisted traditional techniques or where traditional models seem to have reached a barrier (e.g., human memory), [2] and modeling preferences in decision theory that seem ...

  6. Quantum circuit - Wikipedia

    en.wikipedia.org/wiki/Quantum_circuit

    Other examples of quantum logic gates derived from classical ones are the Toffoli gate and the Fredkin gate. However, the Hilbert-space structure of the qubits permits many quantum gates that are not induced by classical ones. For example, a relative phase shift is a 1 qubit gate given by multiplication by the phase shift operator:

  7. Clifford group - Wikipedia

    en.wikipedia.org/wiki/Clifford_group

    Arbitrary Clifford group element can be generated as a circuit with no more than (/ ⁡ ()) gates. [6] [7] Here, reference [6] reports an 11-stage decomposition -H-C-P-C-P-C-H-P-C-P-C-, where H, C, and P stand for computational stages using Hadamard, CNOT, and Phase gates, respectively, and reference [7] shows that the CNOT stage can be implemented using (/ ⁡ ()) gates (stages -H- and -P ...

  8. Quil (instruction set architecture) - Wikipedia

    en.wikipedia.org/wiki/Quil_(instruction_set...

    a fixed but arbitrary list of static gates (quantum gates that do not depend on parameters, like the Hadamard gate.) ′ a fixed but arbitrary list of parametric gates (gates that depend on a number of complex parameters like the phase shift gate that requires an angle parameter to be completely defined.)

  9. Quantum phase estimation algorithm - Wikipedia

    en.wikipedia.org/wiki/Quantum_phase_estimation...

    In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary operator.Because the eigenvalues of a unitary operator always have unit modulus, they are characterized by their phase, and therefore the algorithm can be equivalently described as retrieving either the phase or the eigenvalue itself.