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An elementary introduction to quantum mechanics, especially aimed at students interested in interdisciplinary areas like nanoscience and quantum computing. Using "qubits" (basic building blocks of quantum computation, information, and cryptography), we give simple treatments of standard QM topics such as superposition, tensor products, Bell's inequalities and Heisenberg uncertainty principle, as well as "advanced" topics like multi-particle systems and spin. We also discuss the computational power of quantum computers and cryptosystems as well as their possible lab implementations.