Quantum Computing

Graduate School
1

Hi, I am currently a Senior Computer Engineer Minoring in physics. I was going to apply for my masters and I was wondering what classes would be recommended for me to take? I have the links to Electrical and Computer Engineering Classes and physics classes catalog. I am senior standing so you can ignore most of the 300 or below ECE classes.

Physics http://catalog.uic.edu/gcat/colleges-schools/liberal-arts-sciences/phys/#courseinventory

Electrical And Computer Engineering: http://catalog.uic.edu/ucat/course-descriptions/ece/

This would be of great help for me because my advisors here are terrible. Thank you so much for your time and understanding

2

Suggest you get a copy of Nielsen and Chuang “Quantum Computation and Quantum Information” and then work backwards. Nielsen and Chuang is a kind of Quantum Computing survey/cookbook.

These physics courses look good, particularly 511 through 514.

PHYS 511. Quantum Mechanics I. 4 hours.

Linear operators, vector spaces. Schroedinger equation. Heisenberg formalism. Multi/identical particle systems, approximation methods, perturbation theory, symmetries and groups, conservation laws, angular momentum, spin. Wigner-Eckart theorem. Course Information: Prerequisite(s): PHYS 412 or approval of the department.

PHYS 512. Quantum Mechanics II. 4 hours.

Scattering theory, partial waves, Born approximation, density matrix, interaction of radiation with matter; Klein-Gordon and Dirac equations, free-particle solutions, antiparticles, relativistic hydrogen atom. Second quantization. Course Information: Prerequisite(s): PHYS 511 or approval of the department.

PHYS 513. Quantum Field Theory I. 3 hours.

Lagrangian formulation of relativistic wave equations. Quantum electrodynamics: Feynman rules, trace theorems, lowest-order calculations for several processes, self-energy, renormalization, higher-order diagrams. Course Information: Prerequisite(s): PHYS 512.

PHYS 514. Quantum Field Theory II. 3 hours.

Path integrals, gauge theories, Weinberg-Salam model, electroweak processes, quantum chromodynamics, non-perturbative methods, topological objects in field theories, instantons. Course Information: Prerequisite(s): PHYS 513.

PHYS 515. Methods in Mathematical Physics. 3 hours.

Applications of mathematical methods to physics problems, linear operators, orthogonal functions, Green’s functions, ordinary and partial differential equations, Sturm-Liouville problem, Hilbert space, group theory. Course Information: Prerequisite(s): PHYS 215.