Z-rotation gate

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf quantum computer
gptkbp:actsOn qubit
gptkbp:affiliatedWith single-qubit gates
gptkbp:alsoKnownAs Rz gate
gptkbp:canBeDecomposedInto Z gate and phase gate
gptkbp:commutesWith Z gate
gptkbp:generation rotations around Z axis
gptkbp:hasSpecialCase rotation gate
gptkbp:hermitian false
https://www.w3.org/2000/01/rdf-schema#label Z-rotation gate
gptkbp:isDiagonal true
gptkbp:matrixRepresentation [[e^{-iθ/2}, 0], [0, e^{iθ/2}]]
gptkbp:parameter angle theta
gptkbp:unitary true
gptkbp:usedFor quantum algorithms
phase shifts
quantum circuit synthesis
gptkbp:usedIn gptkb:quantum_computing
gptkbp:bfsParent gptkb:Phase_gate
gptkbp:bfsLayer 7