






"""simple docstring"""


import numpy as np




def     snake_case						(A_   :np.array   ):







  '''simple docstring'''

  return 1 / (1 + np.exp(-vector   ))




def     snake_case						(A_   :np.array   ):







  '''simple docstring'''

  return vector * sigmoid(1.702 * vector   )


if __name__ == "__main__":
   import doctest

   doctest.testmod()












"""simple docstring"""


import math

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




def     snake_case						(A_   :int = 3   ):







  '''simple docstring'''

  if isinstance(A_			,    A_   ):
    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(A_   ) != 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).'   )

  a  :    str       =     QuantumRegister(A_			,    'qr'   )
  a  :    List[Any]       =     ClassicalRegister(A_			,    'cr'   )

  a  :    Optional[Any]       =     QuantumCircuit(A_			,    A_   )

  a  :    Optional[Any]       =     number_of_qubits

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

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

  # measure all the qubits
  quantum_circuit.measure(A_			,    A_   )
  # simulate with 10000 shots
  a  :    Optional[int]       =     Aer.get_backend('qasm_simulator'   )
  a  :    Any       =     execute(A_			,    A_			,    shots=1_0_0_0_0   )

  return job.result().get_counts(A_   )


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




