Abstract
Review of classical information theory, including the Turing machine, Shannon entropy, computational gates, classical cryptography and computational complexity. Fundamental concepts of quantum bits (qubits), entanglement, Bell states, GHZ states, Schmidt decomposition and mixed quantum states. Quantum gates and quantum circuits, dense coding, data compression, quantum teleportation and quantum cryptography. Quantum computing, including the Deutsch, Deutsch–Josza, Grover, quantum Fourier transform and the Shor factorization algorithms, and error corrections for quantum information and computing. Discussion of experimental systems that are promising candidates for realizing quantum information and computing protocols. Finally, the EPR paradox and Bell inequalities are discussed.
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