“★ Linear Algebra and Probability Theory: In quantum computing, linear algebra is foundational to understanding how quantum systems work. The most basic quantum objects, such as spin-1/2 particles, are described using two-dimensional Hilbert spaces. In these spaces, quantum states can be represented as vectors, and quantum operations can be defined as linear transformations on these vectors. Understanding linear algebra allows us to model and manipulate quantum states, essential for implementing quantum algorithms.”