Course Description
The focus of this special topics course will be towards building an overall understanding of many of the recent developments in the field of quantum information and computation, from the quantum dynamics perspective. There will be a scope to delve deeper into the theoretical underpinnings as well as get realistic understanding of the various experimental set-ups. Undoubtedly quantum-tech being what’s on the horizon, the understanding of the fascinating physics underlying it, becomes indispensable.
Course Content
- Open quantum systems
Module 1: E.M. field quantization, basic elements of quantum optics
Module 2: States of atoms, Jaynes-Cummings Hamiltonian, elementary quantum gates
Module 3: Open-quantum systems and quantum measurements
Module 4: Quantum state and process tomography
- Formalisms: quantum information dynamics
Module 5: Classes and properties of entanglement entropy, applications to many-body systems.
Module 6 : Entanglement and measures for mixed states.
Module 7 : Quantum thermalization (ETH, trace distance).
Module 8 : Area laws vs. volume laws of entanglement.
- Applications: Gravity, cryptography, mesoscopic systems
Module 9 : Entanglement entropy in gravity.
Module 10 : Quantum algorithms, topological quantum computing and error correction.
Module 11 : Basics of quantum cryptography and mesoscopic quantum information.
Module 12 : Open directions, various physical systems.
References:
[1] Quantum Computing, a gentle introduction, by E. Rieffel and W. Polak.
[2] Lecture notes by John McGreevy, UCSD, https://mcgreevy.physics.
ucsd.edu/f19/2019-239-lectures.pdf.
[3] Lecture notes by Michal Lukin, Harvard University
https://129.2.99.175/wp-content/uploads/2014/09/NewNotesByLily.pdf
[4] Introductory quantum optics, Gerry and Knight.
[5] An open systems approach to quantum optics, J. Carmichael