def factor(
        self, axes: Sequence[int], *, validate=True, atol=1e-07
    ) -> tuple[_BufferedStateVector, _BufferedStateVector]:
        """Factors a state vector into two independent state vectors.

        This function should only be called on state vectors that are known to be separable, such
        as immediately after a measurement or reset operation. It does not verify that the provided
        state vector is indeed separable, and will return nonsense results for vectors
        representing entangled states.

        Args:
            axes: The axes to factor out.
            validate: Perform a validation that the state vector factors cleanly.
            atol: The absolute tolerance for the validation.

        Returns:
            A tuple with the `(extracted, remainder)` state vectors, where `extracted` means the
            sub-state vector which corresponds to the axes requested, and with the axes in the
            requested order, and where `remainder` means the sub-state vector on the remaining
            axes, in the same order as the original state vector.
        """
        extracted_tensor, remainder_tensor = transformations.factor_state_vector(
            self._state_vector, axes, validate=validate, atol=atol
        )
        extracted = _BufferedStateVector(
            state_vector=extracted_tensor, buffer=np.empty_like(extracted_tensor)
        )
        remainder = _BufferedStateVector(
            state_vector=remainder_tensor, buffer=np.empty_like(remainder_tensor)
        )
        return extracted, remainder
Factors a state vector into two independent state vectors.

        This function should only be called on state vectors that are known to be separable, such
        as immediately after a measurement or reset operation. It does not verify that the provided
        state vector is indeed separable, and will return nonsense results for vectors
        representing entangled states.

        Args:
            axes: The axes to factor out.
            validate: Perform a validation that the state vector factors cleanly.
            atol: The absolute tolerance for the validation.

        Returns:
            A tuple with the `(extracted, remainder)` state vectors, where `extracted` means the
            sub-state vector which corresponds to the axes requested, and with the axes in the
            requested order, and where `remainder` means the sub-state vector on the remaining
            axes, in the same order as the original state vector.
        
cirq-core/cirq/sim/state_vector_simulation_state.py