

"""simple docstring"""




import numpy as np
import qiskit
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					A     =   qiskit.QuantumCircuit(num_qubits + 1 )

					# First, let's deal with the case in which oracle is balanced
					if case == "balanced":
										# First generate a random number that tells us which CNOTs to
										# wrap in X-gates:
										A     =   np.random.randint(1     ,				2**num_qubits )
										# Next, format 'b' as a binary string of length 'n', padded with zeros:
										A     =   format(lowercase__     ,				F"""0{num_qubits}b""" )
										# Next, we place the first X-gates. Each digit in our binary string
										# corresponds to a qubit, if the digit is 0, we do nothing, if it's 1
										# we apply an X-gate to that qubit:
										for index, bit in enumerate(lowercase__ ):
															if bit == "1":
																				oracle_qc.x(lowercase__ )
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
										for index in range(lowercase__ ):
															oracle_qc.cx(lowercase__     ,				lowercase__ )
										# Next, place the final X-gates
										for index, bit in enumerate(lowercase__ ):
															if bit == "1":
																				oracle_qc.x(lowercase__ )

    # Case in which oracle is constant
					if case == "constant":
										# First decide what the fixed output of the oracle will be
										# (either always 0 or always 1)
										A     =   np.random.randint(2 )
										if output == 1:
															oracle_qc.x(lowercase__ )

					A     =   oracle_qc.to_gate()
					A     =   "Oracle"  # To show when we display the circuit
					return oracle_gate
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					A     =   qiskit.QuantumCircuit(num_qubits + 1     ,				lowercase__ )
					# Set up the output qubit:
					dj_circuit.x(lowercase__ )
					dj_circuit.h(lowercase__ )
					# And set up the input register:
					for qubit in range(lowercase__ ):
										dj_circuit.h(lowercase__ )
					# Let's append the oracle gate to our circuit:
					dj_circuit.append(lowercase__     ,				range(num_qubits + 1 ) )
					# Finally, perform the H-gates again and measure:
					for qubit in range(lowercase__ ):
										dj_circuit.h(lowercase__ )

					for i in range(lowercase__ ):
										dj_circuit.measure(lowercase__     ,				lowercase__ )

					return dj_circuit
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					A     =   qiskit.Aer.get_backend("aer_simulator" )

					A     =   dj_oracle(lowercase__     ,				lowercase__ )
					A     =   dj_algorithm(lowercase__     ,				lowercase__ )

					# Execute the circuit on the simulator
					A     =   qiskit.execute(lowercase__     ,				lowercase__     ,				shots=1_000 )

					# Return the histogram data of the results of the experiment.
					return job.result().get_counts(lowercase__ )


if __name__ == "__main__":
	print(f"""Deutsch Jozsa - Constant Oracle: {deutsch_jozsa('constant', 3)}""")
	print(f"""Deutsch Jozsa - Balanced Oracle: {deutsch_jozsa('balanced', 3)}""")






'''simple docstring'''


def    _lowerCamelCase       ( lowerCamelCase_   :				list  ):



     """simple docstring"""





     UpperCAmelCase_				:  Optional[int]  = len(lowerCamelCase_  )

     # Set the gap value to be decreased by a factor of 1.3
     # after each iteration
     UpperCAmelCase_				:  Optional[Any]  = 1.3

     # Continue sorting until the gap is 1
     while gap > 1:
          # Decrease the gap value
          UpperCAmelCase_				:  Optional[Any]  = int(gap / shrink  )

          # Sort the elements using insertion sort
          for i in range(lowerCamelCase_      ,	len(lowerCamelCase_  )  ):
               UpperCAmelCase_				:  Optional[int]  = collection[i]
               UpperCAmelCase_				:  Tuple  = i
               while j >= gap and collection[j - gap] > temp:
                    UpperCAmelCase_				:  Tuple  = collection[j - gap]
                    j -= gap
               UpperCAmelCase_				:  Optional[int]  = temp

     return collection


if __name__ == "__main__":
 import doctest

 doctest.testmod()






