= Qiskit quantum gate documentation by IBM
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{tag=Work by IBM}
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.
https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.CXGate[CXGate: controlled-X action and matrix]
https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.SwapGate[SwapGate: state exchange]
https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.CCXGate[CCXGate: Toffoli controls and target]
https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.HGate[HGate: computational and plus/minus bases]
https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.ControlledGate[ControlledGate: control labels and conditional unitary]
https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.GraphState[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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