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NPTEL Syllabus Quantum Computation and Quantum Information - Video course NPTEL COURSE OUTLINE This is an introductory course in quantum computation and quantum information aimed at postgraduate as well as senior undergraduate students from various streams of science and engineering. http://nptel.iitm.ac.in Physics Staring with introduction to quantum mechanics the course will develop the subject of quantum computation and quantum information from the basics. Q u a n tu m algorithms, quantum cryptography, quantum error correction and aspects of quantum entanglement theory will be Pre-requisites: covered. Some knowledge or Quantum Mechanics and /or Linear algebra will be useful. COURSE DETAIL A video course shall consist of 40 or more lectures with 1hr duration per lecture. Sl.No. 1. Topic/s Introduction: Introducing quantum mechanics. Quantum kinematics, quantum dynamics, quantum measurements.Single qubit, multiqubits, gates. Density operators, pure and mixed states, quantum operations, environmental effect, decoherence. Quantum no-cloning, quantum teleportation. 2. 4 Quantum Algorithm: Introduction to quantum algorithms. Deutsch-Jozsa algorithm, Grover's quantum search algorithm, Simon's algorithm. Shor's quantum factorization algorithm. 4. 8 Quantum Cryptography: Cryptography, classical cryptography, introduction to quantum cryptography. BB84, B92 protocols. Introduction to security proofs for these protocols. 3. No. of Lectures (1hr each) Error Correction: 10 Hyperlinks: http://www.theory.caltech.edu/people/preskill/ph229/ Coordinators: Dr. Arvind Department of PhysicsIISER Mohali Errors and correction for errors. Simple examples of error correcting codes in classical computation. 6 Linear codes. Quantum error correction and simple examples. Shor code. 5. Quantum Entanglement: Quantum correlations, Bell's inequalities, EPR paradox. 8 Theory of quantum entanglement. Entanglement of pure bipartite states. Entanglement of mixed states. Peres partial transpose criterion. NPT and PPT states, bound entanglement, entanglement witnesses. 6. Implementations: Different implementations of quantum computers. NMR and ensemble quantum computing, Ion trap implementations. Optical implementations. 4 References: Quantum Computation and Quantum Information, M.A. Nielsen and I.L.Chuang, Cambridge University Press 2000. A joint venture by IISc and IITs, funded by MHRD, Govt of India http://nptel.iitm.ac.in