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fundamentals
beginner

Quantum Gate

Definition

A basic quantum operation that acts on qubits. Quantum gates are represented by unitary matrices and transform qubit states. Common gates include Hadamard (H), Pauli-X/Y/Z, CNOT, and Toffoli gates.

AI Explanation

Examples

  • • The Hadamard gate puts a qubit into superposition: H|0⟩ = (|0⟩ + |1⟩)/√2
  • • The CNOT gate entangles two qubits: if control is |1⟩, it flips the target qubit.

Visual

Quantum circuit diagram showing gates as boxes connected by qubit lines, similar to a musical score for quantum operations.

Related Concepts

Hadamard Gate
CNOT Gate
Unitary Matrix
Quantum Circuit

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