code: def _one_projector(args: Dict[str, Any], index: int) -> Union[int, np.ndarray]:
      
      num_shard_qubits = args['num_shard_qubits']
      shard_num = args['shard_num']
      if index >= num_shard_qubits:
          return _kth_bit(shard_num, index - num_shard_qubits)
      return _zero_one_vects(args)[index]
docs: Returns a projector onto the |1> subspace of the index-th qubit.