// Run this cell using Ctrl+Enter (⌘+Enter on Mac)
// Then run the next cell to see the output

open Microsoft.Quantum.Diagnostics;

operation QubitsDemo () : Unit {
    // This line allocates a qubit in state |0⟩
    use q = Qubit();
    Message("State |0⟩:");

    // This line prints out the state of the quantum computer
    // Since only one qubit is allocated, only its state is printed
    DumpMachine();

    // This line changes the qubit from state |0⟩ to state |1⟩
    X(q);

    Message("State |1⟩:");
    DumpMachine();

    // This line changes the qubit to state |-⟩ = (1/sqrt(2))(|0⟩ - |1⟩)
    // That is, this puts the qubit into a superposition
    // 1/sqrt(2) is approximately 0.707107
    H(q);

    Message("State |-⟩:");
    DumpMachine();

    // This line changes the qubit to state |-i⟩ = (1/sqrt(2))(|0⟩ - i|1⟩)
    S(q);

    Message("State |-i⟩:");
    DumpMachine();

    // This will put the qubit into an uneven superposition,
    // where the amplitudes of |0⟩ and |1⟩ have different moduli
    Rx(2.0, q);
    Ry(1.0, q);

    Message("Uneven superposition state:");
    DumpMachine();

    // This line returns the qubit to state |0⟩
    Reset(q);
}