
'''simple docstring'''





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

def   A			(							A_				:       float = np.pi / 2     ,				A_				:       float = np.pi / 2     ,				A_				:       float = np.pi / 2							):
						snake_case							:  List[Any]			=     QuantumRegister(3     ,				'''qr'''							)  # Define the number of quantum bits
						snake_case							:  List[Any]			=     ClassicalRegister(1     ,				'''cr'''							)  # Define the number of classical bits

						snake_case							:  Dict			=     QuantumCircuit(A_     ,				A_							)  # Define the quantum circuit.

						# Build the circuit
						quantum_circuit.u(A_     ,				A_     ,				A_     ,				0							)  # Quantum State to teleport
						quantum_circuit.h(1							)  # add hadamard gate
						quantum_circuit.cx(
						    1     ,				2							)  # add control gate with qubit 1 as control and 2 as target.
						quantum_circuit.cx(0     ,				1							)
						quantum_circuit.h(0							)
						quantum_circuit.cz(0     ,				2							)  # add control z gate.
						quantum_circuit.cx(1     ,				2							)

						quantum_circuit.measure([2]     ,				[0]							)  # measure the qubit.

						# Simulate the circuit using qasm simulator
						snake_case							:  str			=     Aer.get_backend('''aer_simulator'''							)
						snake_case							:  List[str]			=     execute(A_     ,				A_     ,				shots=1000							)

						return job.result().get_counts(A_							)


if __name__ == "__main__":
						print(
						    "Total count for teleported state is: "
						    f'''{quantum_teleportation(np.pi/2, np.pi/2, np.pi/2)}'''
						)




"""simple docstring"""





import math
from decimal import Decimal, getcontext




def     _A    (    UpperCamelCase_	:			int = 4000000)      ->		int:
   '''simple docstring'''


   try:
      __lowercase								=		int(UpperCamelCase_)
   except (TypeError, ValueError):
      raise TypeError("Parameter n must be int or castable to int.")
   if n <= 0:
      raise ValueError("Parameter n must be greater than or equal to one.")
   __lowercase								=		100
   __lowercase								=		(Decimal(5) ** Decimal(0.5) + 1) / Decimal(2)

   __lowercase								=		(math.floor(math.log(n * (phi + 2),     UpperCamelCase_) - 1) // 3) * 3 + 2
   __lowercase								=		Decimal(round(phi ** Decimal(index + 1))) / (phi + 2)
   __lowercase								=		num // 2
   return int(UpperCamelCase_)


if __name__ == "__main__":
   print(F"{solution() = }")




