import math

import numpy as np
import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute



def  UpperCAmelCase_  (      _UpperCAmelCase = 3    ):
						if isinstance(_UpperCAmelCase			,  _UpperCAmelCase    ):
												raise TypeError("""number of qubits must be a integer."""    )
						if number_of_qubits <= 0:
												raise ValueError("""number of qubits must be > 0."""    )
						if math.floor(_UpperCAmelCase    ) != number_of_qubits:
												raise ValueError("""number of qubits must be exact integer."""    )
						if number_of_qubits > 1_0:
												raise ValueError("""number of qubits too large to simulate(>10)."""    )

						lowerCamelCase_:       Optional[int]					     = QuantumRegister(_UpperCAmelCase			,  """qr"""    )
						lowerCamelCase_:       List[Any]					     = ClassicalRegister(_UpperCAmelCase			,  """cr"""    )

						lowerCamelCase_:       Dict					     = QuantumCircuit(_UpperCAmelCase			,  _UpperCAmelCase    )

						lowerCamelCase_:       Any					     = number_of_qubits

						for i in range(_UpperCAmelCase    ):
												quantum_circuit.h(number_of_qubits - i - 1    )
												counter -= 1
												for j in range(_UpperCAmelCase    ):
																		quantum_circuit.cp(np.pi / 2 ** (counter - j)			,  _UpperCAmelCase			,  _UpperCAmelCase    )

						for k in range(number_of_qubits // 2    ):
												quantum_circuit.swap(_UpperCAmelCase			,  number_of_qubits - k - 1    )

						# measure all the qubits
						quantum_circuit.measure(_UpperCAmelCase			,  _UpperCAmelCase    )
						# simulate with 10000 shots
						lowerCamelCase_:       List[str]					     = Aer.get_backend("""qasm_simulator"""    )
						lowerCamelCase_:       Any					     = execute(_UpperCAmelCase			,  _UpperCAmelCase			,  shots=1_0_0_0_0    )

						return job.result().get_counts(_UpperCAmelCase    )


if __name__ == "__main__":
			print(
			    F"Total count for quantum fourier transform state is: \
    {quantum_fourier_transform(3)}"
			)






"""simple docstring"""






def      lowerCAmelCase__			(		__magic_name__      )						->int:

			if not isinstance(__magic_name__			,   __magic_name__      ):
						raise ValueError("multiplicative_persistence() only accepts integral values"      )
			if num < 0:
						raise ValueError("multiplicative_persistence() does not accept negative values"      )

			__lowercase       =       0
			__lowercase       =       str(__magic_name__      )

			while len(__magic_name__      ) != 1:
						__lowercase       =       [int(__magic_name__      ) for i in num_string]

						__lowercase       =       1
						for i in range(0			,   len(__magic_name__      )      ):
									total *= numbers[i]

						__lowercase       =       str(__magic_name__      )

						steps += 1
			return steps



def      lowerCAmelCase__			(		__magic_name__      )						->int:

			if not isinstance(__magic_name__			,   __magic_name__      ):
						raise ValueError("additive_persistence() only accepts integral values"      )
			if num < 0:
						raise ValueError("additive_persistence() does not accept negative values"      )

			__lowercase       =       0
			__lowercase       =       str(__magic_name__      )

			while len(__magic_name__      ) != 1:
						__lowercase       =       [int(__magic_name__      ) for i in num_string]

						__lowercase       =       0
						for i in range(0			,   len(__magic_name__      )      ):
									total += numbers[i]

						__lowercase       =       str(__magic_name__      )

						steps += 1
			return steps


if __name__ == "__main__":
					import doctest

					doctest.testmod()





