Phys 572.001 Quantum Information Theory   Fall 2014
  Call No. 49543 (register for 3 credit hours)
  This course will cover a variety of topics in quantum information theory. The goal of the course is to convey some of the chief results of quantum information theory and to master some of the relevant mathematical techniques. The topics to be covered are classical information, the Hilbert-space formulation of quantum mechanics, quantum states, quantum dynamics and measurements, quantum information, quantum tomography, and quantum entanglement.

This is the first semester of a two-semester sequence. The second semester, which will be taught by Akimasa Miyake in the spring semester, focuses on quantum computation.

The course syllabus details the topics to be covered and provides a complete schedule for the course. It is also your gateway to the web-based material: lecture notes, special handouts, homework assignments, and solution sets, all of which are available as pdf files linked to the syllabus.

The course assumes that you have a good background in linear algebra and some familiarity with the Hilbert-space formulation of quantum mechanics, including the description of quantum states as vectors in Hilbert space, observables as Hermitian operators, and time evolutions as unitary operators. The course is structured so that you could come up to speed on these things as the course progresses, but that would involve a bit of scrambling. It will certainly be to your advantage if you have some familiarity with Dirac's bra-ket notation for manipulating the linear-algebraic mathematical objects of quantum mechanics and you are familiar with the Pauli-matrix algebra for two-state quantum systems (qubits) and with the associated Bloch-sphere description of qubit quantum states.

The course will be taught on two tracks, a graded track and an ungraded (credit/no-credit) track. There will not be any exams. All students are welcome and encouraged to register for a grade. Those registering for a letter grade will be expected to attend the lectures and show interest and to do the homework problems and to discuss each completed homework problem with the instructor by the due date. Students who prefer the ungraded track should fill out the relevant form on the Registrar's web site and register for the CR/NC grading option. To receive a grade of CR, students need only attend the lectures and show interest. (You should be familiar with the University deadlines for changing grading options.)

  Basic information
Instructor Professor Carlton M. Caves
Office: P&A 28
Phone: 277-1850
Mobile phone: 350-8963
E-mail: ccaves@unm.edu
Meeting times T,Th,F 12:15 pm-1:45 pm
P&A 30B
Lectures will be given at two of these times each week and occasionally all three; see the syllabus for details. The unused meeting time will be reserved for general discussion and discussion of your homework assignments. Please note that I have been forced to include two Saturday meetings in November to accommodate these discussions.
Office hours I will be available for discussion from 11:45 am till 2:00 pm at the regular meeting times, i.e., both before and after the lectures and, when I am in town, at the third meeting time we don't use each week. Feel free to come see me at any other time as well, although I might divert you onto one of the regular meeting times. I usually stay at home on Monday, but need to be in the office on other weekdays. You are somewhat more likely to find me in the office in late morning or afternoon than before, say, 10:00 am.
Textbook Quantum Computation and Quantum Information by M. A. Nielsen and I. L. Chuang (recommended)