Syllabus
Quantum bits and quantum gates: quantum bits, basic computations with 1-qubit quantum gates, Pauli matrices or I, X, Y, Z-gates, Hadamard matrix gate or H-gate, quantum gates with multiple qubit inputs and outputs, quantum circuits, non cloning theorem.
Quantum measurements: quantum measurements and types, quantum measurements in the orthonormal basis, Projective or von-Neumann measurements, POVM measurements, quantum measurements on joint states.
Qubit measurements, superdense coding, and quantum teleportation: measuring single quits, measuring n-qubits, Bell state measurement, superdense coding, quantum teleportation, distributed quantum computing.
Deutch-Joza, quantum Fourier transform, and Grover quantum database search algorithms, Shor's factorisation algorithm.
Von Neumann entropy, Relative, joint, and conditional entropy, and mutual information, quantum communication channel and Holevo bound.
Quantum data compression and fidelity. Schumacher's quantum coding theorem, quantum Channel noise and channel capacity, Quantum error correction.
Quantum cryptography: Electromagnetic waves, polarization states, photons, and quantum measurements, the BB84 protocol, the B92 protocol, the EPR protocol
Text Books
- Classical and Quantum Information Theory: An Introduction for the Telecom Scientist, E Desurvire, Cambridge University Press
- Quantum Computation and Quantum Information, Michael A. Nielsen & Isaac L. Chuang, Cambridge University Press
References
- Information Not Available