




'''simple docstring'''





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





def UpperCAmelCase						(					UpperCAmelCase_ = np.pi / 2      ,  UpperCAmelCase_ = np.pi / 2      ,  UpperCAmelCase_ = np.pi / 2	):
    _a							:       Union[str, Any]       					=			QuantumRegister(3      ,  """qr"""	)  # Define the number of quantum bits
    _a							:       Dict       					=			ClassicalRegister(1      ,  """cr"""	)  # Define the number of classical bits

    _a							:       Tuple       					=			QuantumCircuit(UpperCAmelCase_      ,  UpperCAmelCase_	)  # Define the quantum circuit.

    # Build the circuit
    quantum_circuit.u(UpperCAmelCase_      ,  UpperCAmelCase_      ,  UpperCAmelCase_      ,  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
    _a							:       List[Any]       					=			Aer.get_backend("""aer_simulator"""	)
    _a							:       List[str]       					=			execute(UpperCAmelCase_      ,  UpperCAmelCase_      ,  shots=1_000	)

    return job.result().get_counts(UpperCAmelCase_	)


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








'''simple docstring'''





from math import exp





def UpperCAmelCase						(					UpperCAmelCase_	):
    return 8 * x - 2 * exp(-x	)





def UpperCAmelCase						(					UpperCAmelCase_      ,  UpperCAmelCase_      ,  UpperCAmelCase_	):
    _a							:       Optional[int]       					=			lower_bound
    _a							:       str       					=			upper_bound
    for _ in range(0      ,  UpperCAmelCase_	):
        _a					,   _a							:       List[str]       					=			xa, xa - (f(UpperCAmelCase_	) * (xa - xa)) / (f(UpperCAmelCase_	) - f(UpperCAmelCase_	))
    return xa


if __name__ == "__main__":
  print(F"""Example: {secant_method(1, 3, 2)}""")


