Study Guide

ECE 523/Physics 627: Quantum Information Science I

  • Description: Fundamental concepts and progress in quantum information science.
  • Topics include: Quantum circuits, quantum universality theorem, quantum algorithms, quantum operations and quantum error correction codes, fault-tolerant architectures, security in quantum communications, quantum key distribution, physical systems for realizing quantum logic, quantum repeaters and long-distance quantum communication.
  • Prerequisites: ECE 521 or Physics 464 or equivalent.
  • Instructor: Kim or Marvian

ECE 590/Physics 590: Quantum Information Science II

  • Description: This course is mainly focused on Quantum Information theory, and more specifically, Quantum Shannon theory. In the light of quantum mechanics, classical concepts such as information, bit, entropy, mutual information, data compression, and channel capacity, should be modified to take into account quantum effects. Similar to its classical version, the primary motivation for quantum information theory is the theory of communication. Interestingly, it turns out that by taking advantage of quantum phenomena, such as information-disturbance principle, distant parties can communicate with a level of privacy, which is unattainable classically. Applications of this field are not limited to the communication theory. Quantum information theory has found applications in different areas of physics, from topological order, and many-body systems to quantum thermodynamics, quantum gravity and black holes. Also, the ideas and tools developed in this theory are crucial for understanding quantum noise and decoherence. Furthermore, this theory provides a framework for understanding and quantifying entanglement and other quantum resources such as coherence.
  • Instructor: Marvian
  • Course website

Physics 264L: Modern Physics and Optics

  • Description: Third course in sequence for physics and biophysics majors. Introductory treatments of special relativity and quantum mechanics.
  • Topics include: wave mechanics and interference; relativistic kinematics, energy and momentum; the Schrodinger equation and its interpretation; quantum particles in one-dimension; spin; fermions and bosons; the hydrogen spectrum. Applications to crystallography, semiconductors, atomic physics and optics, particle physics, and cosmology.
  • Prerequisites: Physics 162D and Mathematics 212 or their equivalents.
  • Instructor: Brown, Haravifard

Physics 464: Quantum Mechanics I

  • Description: Introduction to the non-relativistic quantum description of matter.
  • Topics include: experimental foundations, wave-particle duality, Schrodinger wave equation, interpretation of the wave function, the state vector, Hilbert space, Dirac notation, Heisenberg uncertainty principle, one-dimensional quantum problems, tunneling, the harmonic oscillator, three-dimensional quantum problems, angular momentum, the hydrogen atom, spin, angular momentum addition, identical particles, elementary perturbation theory, fine/hyperfine structure of hydrogen, dynamics of two-level systems, and applications to atoms, molecules, and other systems.
  • Prerequisites: Mathematics 216 or 221 and Physics 264L.
  • Instructor: Springer

Physics 465: Quantum Mechanics II

  • Description: Advanced topics in quantum mechanics with applications to current research.
  • Topics include: theory of angular momentum, role of symmetry in quantum mechanics, perturbation methods, scattering theory, the Dirac equation of relativistic quantum mechanics, systems of identical particles, and quantum entanglement.
  • Prerequisites: Physics 464.
  • Instructor: Barthel

ECE 521: Quantum Mechanics

  • Description: Discussion of wave mechanics including elementary applications, free particle dynamics, Schrödinger equation including treatment of systems with exact solutions, and approximate methods for time-dependent quantum mechanical systems with emphasis on quantum phenomena underlying solid-state electronics and physics.
  • Prerequisites: Mathematics 216 or equivalent.
  • Instructor: Brady, Brown, or Stiff-Roberts

ECE 590: Quantum Engineering with Atoms

  • Description: In this course, we discuss the basic principles of atomic physics that are used to create practically useful devices today, such as the atomic clock, atomic sensors, and quantum computers. Similar to the very early days of semiconductor devices, the atoms are moving from the realm of fundamental physics to the target of practical engineering for useful devices. We will spend the first half of the semester covering the basic mathematical and physical framework for understanding the atomic physics, and spend the second half of the semester learning about how adequate control of these atomic properties can lead to practical devices with performances unmatched by other technologies.
  • Instructor: Kim
  • Course website