


import qiskit
def 				__lowerCamelCase						( UpperCAmelCase_						:		int = 2						):




      """simple docstring"""





      a						:Tuple 							=       qubits

      # Using Aer's simulator
      a						:Union[str, Any] 							=       qiskit.Aer.get_backend('''aer_simulator'''						)

      # Creating a Quantum Circuit acting on the q register
      a						:str 							=       qiskit.QuantumCircuit(UpperCAmelCase_ ,  UpperCAmelCase_						)

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

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

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

      # 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
      a						:Union[str, Any] 							=       qiskit.execute(UpperCAmelCase_ ,  UpperCAmelCase_ ,  shots=1000						)

      return job.result().get_counts(UpperCAmelCase_						)


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









from __future__ import annotations
def 				__lowerCamelCase						( UpperCAmelCase_						:		dict ,  UpperCAmelCase_						:		str						):




      """simple docstring"""





      a							,				a						:Optional[Any] 							=       set(UpperCAmelCase_						), [start]

      while stack:
            a						:Optional[int] 							=       stack.pop()
            explored.add(UpperCAmelCase_						)
            # Differences from BFS:
            # 1) pop last element instead of first one
            # 2) add adjacent elements to stack without exploring them
            for adj in reversed(graph[v]						):
                  if adj not in explored:
                        stack.append(UpperCAmelCase_						)
      return explored


snake_case				:    Optional[int]       				=     {
    '''A''': ['''B''', '''C''', '''D'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F'''],
    '''D''': ['''B''', '''D'''],
    '''E''': ['''B''', '''F'''],
    '''F''': ['''C''', '''E''', '''G'''],
    '''G''': ['''F'''],
}

if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(depth_first_search(G, '''A'''))





