Abstract: Quantum computation promises to offer significant, exciting advancements beyond the capabilities of classical computation. In this talk, we aim to demystify quantum computation, exploring its potential applications and current practical challenges. Central to our discussion is the intrinsic connection between linear algebra and quantum computation. Quantum states are mathematically represented as complex vectors in a Hilbert space. These states undergo transformations through quantum logic gates, each represented by a unitary matrix. Using the tools of linear algebra, we will explore examples of real-world quantum algorithms including quantum teleportation, which enables the transfer of quantum states across huge distances instantaneously! No background in quantum mechanics or computer science is necessary to understand this talk.