This lesson introduces the quantum circuit model, as well as some mathematical concepts that are important to quantum information including inner products, orthogonality, and projections. Fundamental limitations of quantum information, including the no-cloning theorem, are also discussed. Additional materials for this course, including written text, Qiskit implementations, slides in pdf format, and a badging exam, can be found on IBM Quantum Learning by following this link: https://learning.quantum.ibm.com/course/basics-of-quantum-information Timecodes for lesson sections: 0:00 — Introduction 1:06 — Lesson overview 2:28 — Circuits 7:25 — Quantum circuits 18:27 — Inner products 24:15 — Orthogonality and orthonormality 32:35 — Projections 36:22 — Projective measurements 43:47 — Irrelevance of global phases 48:13 — No-cloning theorem 53:37 — Discriminating non-orthogonal states 59:59 — Conclusion #ibmquantum #learnquantum #qiskit