In the tale of the 3 brothers from Deathly Hallows we hear about the existence of three Hallows: the Elder Wand, the Resurrection Stone, and the Cloak of Invisibility. Each one of these objects has the power to grant immense power to the possessor. Dumbledore suggests that Voldemort may have found more than one Hallow, and that the Elder Wand is most likely the only true Hallow that Voldemort has in his possession.
While horcruxes and hallows are both powerful artifacts, they are unrelated. Here are some key differences:
1. Purpose: Horcruxes are created to split and hide one's soul, thereby achieving immortality. On the other hand, Hallows are three powerful magical objects with extraordinary abilities, not related to immortality.
2. Creation: Horcruxes are created through a dark and complex magical process involving murder and splitting one's soul. Hallows, on the other hand, are believed to have been crafted by Death himself and each has a unique origin and purpose.
3. Effects: Horcruxes have dire consequences, including instability, emotional detachment, and a diminished capacity for love. Hallows, depending on how they are used, may have both beneficial (e.g., cloak for concealment) and detrimental (e.g., resurrection stone) effects.
4. Connection to Voldemort: Horcruxes are intricately connected to Voldemort, as they contain pieces of his soul. He actively seeks to create Horcruxes to achieve immortality. Hallows, while desired by Voldemort, are not necessarily integral to his plans and are considered separate entities from Horcruxes.
In summary, while horcruxes and hallows are significant aspects of the Harry Potter universe, they serve distinct purposes and do not directly relate to one another.