Quantum Computing, Quantum Circuits, Quantum Computer, Quantum.
superposition as |ψ⟩ = α|0⟩ + β|1⟩ X Gate / Not Gate: X|x⟩ = |x⊕1⟩ , where ⊕ is mod 2 operation X(|ψ⟩) = X(α|0⟩ + β|1⟩) = αX(|0⟩) + β X(|1⟩) = α|1⟩ + β|0⟩ Z Gate/ Phase shift operator : Z|x⟩ = (−1)^x |x⟩ Z|ψ⟩ = Z(α|0⟩ + β|1⟩) = αZ(|0⟩) + β Z(|1⟩) = α|0⟩ - β|1⟩ H Gate/ Hadamard Gate: H|0⟩ = |+⟩ =