PH-720 Quantum Information Theory-II

1. Quantum noise and quantum operation: Classical noise and Markov processes, quantum operations, environment and quantum operations, operator sum representation, axiomatic approach to quantum operations
2. Strokes parameterization
3. Examples of quantum noise and quantum operations: Bit-flip and phase flip channels, depolarizing channel, amplitude damping channel, phase damping channel
4. Schumacher’s noiseless channel coding theorem, Holevo bound
5. Distance measures for quantum information: Distance measures for classical information, Trace distance, fidelity
6. Quantum Measurement: Distinguishing quantum states, Generalized measurements, Projective measurements, POVM
7. Quantification of entanglement as a resource, entanglement of formation, concurrence, Wootter’s criteria

Reference books:

• Elements of Information Theory, T.M. Cover and J.A. Thomas, John and Wiley Sons (1991)
• Quantum Computation and Quantum Information, M.A. Nielson and I.I Chuang, Cambridge University Press (2000)
• Introduction to Quantum Information Science, Vlatko Vedral, Oxford University Press (2006)