Basic Superposition
===================

In this tutorial, we will learn how to create basic superposition using the Hadamard gate. The Hadamard gate is a fundamental quantum gate that transforms a qubit from the computational basis to the Hadamard basis. 
When the Hadamard gate is applied to a qubit in the :math:`\ket{0}` state, which is a common use case, it evolves into :math:`\ket{+} = \frac{1}{\sqrt{2}}(\ket{0} + \ket{1})`, which is a equal superposition of the :math:`\ket{0}` and :math:`\ket{1}` states.
We know that they are equally likely to be measured as either :math:`\ket{0}` or :math:`\ket{1}` by squaring the amplitudes.

To create a qubit in superposition using the Hadamard gate, we begin with the following code:

.. code-block:: python

    from qleap import QLeap, Qubit, Hadamard, Measurement

    # Create a qubit
    q = Qubit()

    # Apply the Hadamard gate to put the qubit in superposition
    Hadamard(q)

    # Measure the qubit
    Measurement(q)

    # Run the quantum program
    Circuit.run()

    # Print the measurement result
    print(f'Measurement result: {Circuit.get_results()}')

In this code, we first import the necessary classes from the QLeap library. We create a qubit using the Qubit class. By default, the qubit is initialized in the :math:`\ket{0}` state. We then apply the Hadamard gate to the qubit, which puts it into a superposition state.
After applying the Hadamard gate, we measure the qubit using the Measurement class. This collapses the superposition state back to either :math:`\ket{0}` or :math:`\ket{1}` with equal probability.
Finally, we run the quantum program using the `run()` method of the Circuit instance and print the measurement result.

When you run this code, you should see that the measurement result is either 0 or 1, demonstrating that the qubit was in a superposition state before measurement.