



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


def 						_UpperCAmelCase							( snake_case = np.pi / 2      ,		snake_case = np.pi / 2      ,		snake_case = np.pi / 2     ):





					"""simple docstring"""

					_lowerCAmelCase         =       QuantumRegister(3      ,		"""qr"""     )  # Define the number of quantum bits
					_lowerCAmelCase         =       ClassicalRegister(1      ,		"""cr"""     )  # Define the number of classical bits

					_lowerCAmelCase         =       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
					_lowerCAmelCase         =       Aer.get_backend("""aer_simulator"""     )
					_lowerCAmelCase         =       execute(A_      ,		A_      ,		shots=10_00     )

					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 timeit import timeit

def   A			(							A_				:       int							):
						snake_case							:  List[str]			=     0
						snake_case							:  Any			=     abs(A_							)
						while True:
												snake_case							:  List[Any]			=     n // 10
												digits += 1
												if n == 0:
																		break
						return digits

def   A			(							A_				:       int							):
						return 1 if n == 0 else math.floor(math.log(abs(A_							)     ,				10							) + 1							)

def   A			(							A_				:       int							):
						return len(str(abs(A_							)							)							)

def   A			(							):
						from collections.abc import Callable

						def benchmark_a_function(A_				:       Callable     ,				A_				:       int							) -> None:
												snake_case							:  Optional[int]			=     F"""{func.__name__}({value})"""
												snake_case							:  Optional[int]			=     timeit(F"""__main__.{call}"""     ,				setup='''import __main__'''							)
												print(F"""{call}: {func(A_							)} -- {timing} seconds"""							)

						for value in (262144, 1125899906842624, 1267650600228229401496703205376):
												for func in (num_digits, num_digits_fast, num_digits_faster):
																		benchmark_a_function(A_     ,				A_							)
												print()


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						benchmark()

