Official IBM Quantum mathematical gate documentation, inspected 2026-10-31. Basis order and software endianness are stated on individual pages; abstract gate actions in the wiki declare their control and target labels explicitly.
CXGate: controlled-X action and matrix
SwapGate: state exchange
CCXGate: Toffoli controls and target
HGate: computational and plus/minus bases
ControlledGate: control labels and conditional unitary
GraphState: mathematical construction by controlled-Z gates
SwapGate: state exchange
CCXGate: Toffoli controls and target
HGate: computational and plus/minus bases
ControlledGate: control labels and conditional unitary
GraphState: mathematical construction by controlled-Z gates
The GraphState page documents a deprecated software class; only its mathematical definition is used.
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