Course Description – Quantum information science (QIS) is a rapidly developing field that aims to revolutionize computation and communication technology. This course introduces the basic principles of quantum mechanics and its applications in quantum information science. The experimental and mathematical concepts of quantum mechanics are introduced in terms of quantum bits, or qubits, and the students will learn how qubits are used for computing and communication. Topics include: wave-particle duality, interferometry and quantum sensing, spin systems, atomic transitions and Rabi Oscillations, bra/ket notation, quantum communication and entanglement, quantum computation and algorithms, and continuous systems. The primary objective is to provide the conceptual and quantitative foundations for higher-level courses in quantum information science and nanoelectronics.
Format and Schedule – Live lectures will be given in person M/W/F 1:00PM – 1:50PM.
Prerequisites – Math 257, PHYS 214 (Overrides are possible).
Textbook – B. Schumacher and M. Westmoreland, Quantum Processes Systems, and Information, 2010 (Primary).
D. Miller, Quantum Mechanics for Scientists and Engineers, Cambridge, 2008 (Supplemental).
Grading – This course will have homework assignments given every two weeks, three midterm exams, and a final exam. Their relative contribution to the overall grade is as follows:
Midterm Exams 1, 2, & 3: 25% each
Final Exam: 25%
|Bits and Information
|Binary encoding, entropy, source compression
|Quantum Systems and Wave-Particle Duality
|Young's Double Slit Experiment
|de Brogile wavelength, Planck-Einstein relation
|The Mach-Zehnder Interferometer
|Matrix description of an interferometer
|Spin 1/2 Particles
|The Stern-Gerlach Experiment
|The Hamiltonian and time evolution
|Mathematical structure of quantum mechanics
|Complex vector spaces, inner products
|Matrix representations of linear operators
|Unitary and hermitian operators
|Quantum measurements and evolution
|The projection axiom and state discrimination
|Quantum key distribution
|NMR quantum computing
|Wave functions and continuous-variable systems
|Position and momentum of quantum particles
|Dynamics of a free particle
|Particle in a box