量子ゲート(Quantum Gate)

量子計算のための基本回路。

A Quantum Gate is the equivalent of a classical logic gate (like AND, OR, NOT) but adapted for the principles of quantum mechanics. Unlike classical gates, which are often dissipative and irreversible, all quantum gates (except for measurement) are Unitary and Reversible. They operate on superpositions of states, allowing for the parallel transformation of quantum information. Mathematically, a gate is a unitary operator $U$ that acts on a state vector $|\psi angle$, such that the total probability is conserved ($U^{\dagger}U = I$).

        graph LR
  Center["量子ゲート(Quantum Gate)"]:::main
  Pre_linear_algebra["linear-algebra"]:::pre --> Center
  click Pre_linear_algebra "/terms/linear-algebra"
  Pre_qubit["qubit"]:::pre --> Center
  click Pre_qubit "/terms/qubit"
  Rel_decoherence["decoherence"]:::related -.-> Center
  click Rel_decoherence "/terms/decoherence"
  Rel_bit["bit"]:::related -.-> Center
  click Rel_bit "/terms/bit"
  Rel_linear_optical_quantum_computer["linear-optical-quantum-computer"]:::related -.-> Center
  click Rel_linear_optical_quantum_computer "/terms/linear-optical-quantum-computer"
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  classDef pre fill:#0f172a,stroke:#3b82f6,color:#94a3b8,rx:5,ry:5;
  classDef child fill:#0f172a,stroke:#10b981,color:#94a3b8,rx:5,ry:5;
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🧒 5歳でもわかるように説明

普通のコンピュータの部品は、電気を通すか止めるかの「スイッチ」です。量子ゲートは「魔法の鏡」のようなもので、量子ビットをひっくり返したり、2つの状態を混ぜ合わせたり(重ね合わせ)できます。量子計算を行うための「道具」です。

🤓 Expert Deep Dive

## Core Gate Library
- Pauli-X: Quantum NOT gate.
- Hadamard: Puts a qubit into superposition.
- CNOT: Entangles two qubits.
- T-Gate: Necessary for universal fault-tolerant logic.

🔗 関連用語

前提知識:

📚 出典