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fundamentals
intermediate

CNOT Gate

Definition

The Controlled-NOT gate is a two-qubit quantum gate that flips the target qubit if and only if the control qubit is |1⟩. It's essential for creating entanglement.

AI Explanation

Examples

  • • CNOT(|1⟩|0⟩) = |1⟩|1⟩ — target flips because control is 1.
  • • CNOT(|+⟩|0⟩) = Bell state — creates maximally entangled qubits.

Visual

Circuit symbol: a dot on the control qubit line connected to a circled-plus on the target qubit line.

Related Concepts

Entanglement
Bell State
Quantum Gate
Two-Qubit Gate

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