


"""simple docstring"""


import qiskit




def   snake_case		(     UpperCamelCase__       :						int = 2    )   ->      qiskit.result.counts.Counts:
      lowerCamelCase					:					str        =	qubits

      # Using Aer's simulator
      lowerCamelCase					:					Optional[int]        =	qiskit.Aer.get_backend("""aer_simulator"""    )

      # Creating a Quantum Circuit acting on the q register
      lowerCamelCase					:					Dict        =	qiskit.QuantumCircuit(snake_case__			,				snake_case__    )

      # Adding a H gate on qubit 0 (now q0 in superposition)
      circuit.h(0    )

      for i in range(1			,				snake_case__    ):
            # Adding CX (CNOT) gate
            circuit.cx(i - 1			,				snake_case__    )

      # Mapping the quantum measurement to the classical bits
      circuit.measure(list(range(snake_case__    )    )			,				list(range(snake_case__    )    )    )

      # Now measuring any one qubit would affect other qubits to collapse
      # their super position and have same state as the measured one.

      # Executing the circuit on the simulator
      lowerCamelCase					:					List[Any]        =	qiskit.execute(snake_case__			,				snake_case__			,				shots=1000    )

      return job.result().get_counts(snake_case__    )


if __name__ == "__main__":
    print(f"""Total count for various states are: {quantum_entanglement(3)}""")










"""simple docstring"""


from __future__ import annotations

import math




def   snake_case		(     UpperCamelCase__       :						float			,				UpperCamelCase__       :						int    )   ->      float:
      lowerCamelCase					:					Dict        =	u
      for i in range(1			,				UpperCamelCase__    ):
            lowerCamelCase					:					List[str]        =	temp * (u - i)
      return temp




def   snake_case		(     )   ->      None:
      lowerCamelCase					:					List[Any]        =	int(input("""enter the numbers of values: """    )    )
      lowerCamelCase					:					list[list[float]]        =	[]
      for _ in range(UpperCamelCase__    ):
            y.append([]    )
      for i in range(UpperCamelCase__    ):
            for j in range(UpperCamelCase__    ):
                  y[i].append(UpperCamelCase__    )
                  lowerCamelCase					:					Union[str, Any]        =	0

      print("""enter the values of parameters in a list: """    )
      lowerCamelCase					:					Any        =	list(map(UpperCamelCase__			,				input().split()    )    )

      print("""enter the values of corresponding parameters: """    )
      for i in range(UpperCamelCase__    ):
            lowerCamelCase					:					int        =	float(input()    )

      lowerCamelCase					:					Dict        =	int(input("""enter the value to interpolate: """    )    )
      lowerCamelCase					:					List[Any]        =	(value - x[0]) / (x[1] - x[0])

      # for calculating forward difference table

      for i in range(1			,				UpperCamelCase__    ):
            for j in range(n - i    ):
                  lowerCamelCase					:					str        =	y[j + 1][i - 1] - y[j][i - 1]

      lowerCamelCase					:					Any        =	y[0][0]
      for i in range(1			,				UpperCamelCase__    ):
            summ += (ucal(UpperCamelCase__			,				UpperCamelCase__    ) * y[0][i]) / math.factorial(UpperCamelCase__    )

      print(F'the value at {value} is {summ}'    )


if __name__ == "__main__":
    main()




