Create q_full_adder.py (TheAlgorithms#6735)

* Create q_full_adder.py

This is for the #Hacktoberfest.
This circuit is the quantum full adder. I saw that in the repo is the half adder so I decided to build the full adder to complete the set of adders.
I hope that this is enough to be consider a contribution.
Best,
Kevin

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quantum/q_full_adder.py

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+"""
+Build the quantum full adder (QFA) for any sum of
+two quantum registers and one carry in. This circuit
+is designed using the Qiskit framework. This
+experiment run in IBM Q simulator with 1000 shots.
+.
+References:
+https://www.quantum-inspire.com/kbase/full-adder/
+"""
+
+import math
+
+import qiskit
+from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute
+
+
+def quantum_full_adder(
+    input_1: int = 1, input_2: int = 1, carry_in: int = 1
+) -> qiskit.result.counts.Counts:
+    """
+    # >>> q_full_adder(inp_1, inp_2, cin)
+    # the inputs can be 0/1 for qubits in define
+    # values, or can be in a superposition of both
+    # states with hadamard gate using the input value 2.
+    # result for default values: {11: 1000}
+    qr_0: ──■────■──────────────■──
+            │  ┌─┴─┐          ┌─┴─┐
+    qr_1: ──■──┤ X ├──■────■──┤ X ├
+            │  └───┘  │  ┌─┴─┐└───┘
+    qr_2: ──┼─────────■──┤ X ├─────
+          ┌─┴─┐     ┌─┴─┐└───┘
+    qr_3: ┤ X ├─────┤ X ├──────────
+          └───┘     └───┘
+    cr: 2/═════════════════════════
+    Args:
+        input_1: input 1 for the circuit.
+        input_2: input 2 for the circuit.
+        carry_in: carry in for the circuit.
+    Returns:
+        qiskit.result.counts.Counts: sum result counts.
+    >>> quantum_full_adder(1,1,1)
+    {'11': 1000}
+    >>> quantum_full_adder(0,0,1)
+    {'01': 1000}
+    >>> quantum_full_adder(1,0,1)
+    {'10': 1000}
+    >>> quantum_full_adder(1,-4,1)
+    Traceback (most recent call last):
+        ...
+    ValueError: inputs must be positive.
+    >>> quantum_full_adder('q',0,1)
+    Traceback (most recent call last):
+        ...
+    TypeError: inputs must be integers.
+    >>> quantum_full_adder(0.5,0,1)
+    Traceback (most recent call last):
+        ...
+    ValueError: inputs must be exact integers.
+    >>> quantum_full_adder(0,1,3)
+    Traceback (most recent call last):
+        ...
+    ValueError: inputs must be less or equal to 2.
+    """
+    if (type(input_1) == str) or (type(input_2) == str) or (type(carry_in) == str):
+        raise TypeError("inputs must be integers.")
+
+    if (input_1 < 0) or (input_2 < 0) or (carry_in < 0):
+        raise ValueError("inputs must be positive.")
+
+    if (
+        (math.floor(input_1) != input_1)
+        or (math.floor(input_2) != input_2)
+        or (math.floor(carry_in) != carry_in)
+    ):
+        raise ValueError("inputs must be exact integers.")
+
+    if (input_1 > 2) or (input_2 > 2) or (carry_in > 2):
+        raise ValueError("inputs must be less or equal to 2.")
+
+    # build registers
+    qr = QuantumRegister(4, "qr")
+    cr = ClassicalRegister(2, "cr")
+    # list the entries
+    entry = [input_1, input_2, carry_in]
+
+    quantum_circuit = QuantumCircuit(qr, cr)
+
+    for i in range(0, 3):
+        if entry[i] == 2:
+            quantum_circuit.h(i)  # for hadamard entries
+        elif entry[i] == 1:
+            quantum_circuit.x(i)  # for 1 entries
+        elif entry[i] == 0:
+            quantum_circuit.i(i)  # for 0 entries
+
+    # build the circuit
+    quantum_circuit.ccx(0, 1, 3)  # ccx = toffoli gate
+    quantum_circuit.cx(0, 1)
+    quantum_circuit.ccx(1, 2, 3)
+    quantum_circuit.cx(1, 2)
+    quantum_circuit.cx(0, 1)
+
+    quantum_circuit.measure([2, 3], cr)  # measure the last two qbits
+
+    backend = Aer.get_backend("qasm_simulator")
+    job = execute(quantum_circuit, backend, shots=1000)
+
+    return job.result().get_counts(quantum_circuit)
+
+
+if __name__ == "__main__":
+    print(f"Total sum count for state is: {quantum_full_adder(1,1,1)}")