👉 In quantum mechanics, a unitary transformation is a mathematical operation that transforms a system into another system such that the transformed state of the system is equivalent to the initial state. The concept of a unitary transformation arises in the context of quantum mechanics and is often used to describe operations on quantum systems (such as particles or waves) which can be described by a set of mathematical rules. Unitary transformations are fundamental to quantum physics, where they allow for the manipulation of particles that have no classical counterparts.