QIS Courses
Quantum Information Science (QIS) Courses
Computer Science
CS498QC - Introduction to Quantum Computing (Pre-reqs: Familiarity with CS374 Material; )
CS598CTO - Quantum Cryptography (Pre-reqs: Familiarity with basic concepts in complexity theory; )
CS598FG - Expansion, Codes, and Optimization both Classical and Quantum (Pre-reqs: Mathematical maturity; )
CS598QC - Frontiers of Quantum Complexity
ECE
ECE305 - Quantum Systems I [info] (Pre-reqs: Phys214; Math257; )
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. Course Information: Prerequisite: Math 257 and Phys 214, or junior standing.
ECE404 - Quantum Information Theory [info] (Pre-reqs: Phys214 or ECE305; Math257; )
Basic concepts and principles underlying quantum computing and communication with equal emphasis on mathematical tools and principles of quantum information processing, quantum communication, and nonlocality and entanglement theory. Topics covered reflect areas of recent interest within the quantum research community. Students will be expected to perform detailed mathematical calculations and construct proofs. By the end of the semester they should be equipped with enough background and technical skills needed for quantum information research. Course Information: 3 undergraduate hours. 4 graduate hours. Prerequisite: PHYS 214 or ECE 305, MATH 257 (or equivalent basic linear algebra).
ECE405 - Quantum Systems II [info] (Pre-reqs: ECE305 or Phys486; )
A survey of the modern quantum technology landscape with an introduction to platforms including single photons, atoms, ions and superconducting qubits. Two-level systems and their coupling to electromagnetic fields. Basic protocols for quantum networks and quantum information processing. Elementary discussions of qubit interactions and noise. Course Information: 3 undergraduate hours. 4 graduate hours. Prerequisite: ECE 305 or PHYS 486 or equivalent.
ECE406 - Quantum Optics and Devices [info] (Pre-reqs: ECE305 or Phys486; )
Introduces students to essential physics and devices of quantum technologies. The first half of the course focuses on concepts and formalisms of quantum optics. In the second half the same concepts and related theoretical tools are used to study a broader range of quantum device platforms and the associated literatures. Course Information: 3 undergraduate hours. 4 graduate hours. Prerequisite: ECE 305 or equivalent.
ECE572 - Quantum Optoelectronics [info] (Pre-reqs: Phys485 or Equivalent Quantum Mechanics; )
Theoretical approach to quantum mechanics and atomic physics, with many applications in spin resonance and modern maser theory. Course Information: Prerequisite: PHYS 485 recommended.
Materials Science
MSE404 - Laboratory Studies in Materials Science and Engineering [info] (Pre-reqs: MSE307; MSE308; )
Experiments include direct hands-on investigations or are performed through computational approaches. Laboratory experiences include both fundamental studies as well as investigations on more applied topics. Course Information: 1.5 undergraduate hours. 1.5 graduate hours. May be repeated if topics vary. Prerequisite: MSE 307 and MSE 308 or permission of instructor. Senior standing.
Math
Math490QIT - Introduction to Quantum Information Theory [info]
Math595Rep - Representation-theoretic methods in quantum information theory
Physics
Phys370 - Introduction to Quantum Information and Computation [info] (Pre-reqs: Phys214; )
Introduction to quantum information and computing for sophomores, juniors and seniors from any major. Self-contained description of quantum states and qubits, operators, measurements, tensor products, density matrices, quantum gates and circuits, and quantum computing/simulation algorithms. One of the key points of departure from classical physics, quantum entanglement, is threaded throughout all these topics including a dedicated discussion of Bell's theorem. Students will apply these basic aspects of quantum mechanics to program online quantum computers (e.g., IBM cloud) to gain insight into canonical algorithms such as Deutsch-Jozsa, Shor, and/or Grover as well as standard protocols such as teleportation and entanglement swapping. Course Information: Prerequisite: PHYS 214.
Phys402 - Light [info] (Pre-reqs: Phys214; Phys435 or ECE329; )
Wave kinematics; geometrical optics: basic concepts, ray-tracing and matrix formalism, Gaussian imaging by thick lenses, stops, apertures, and intensity relations; interference; interference spectroscopy and coherence; diffraction: Fresnel-Kirchhoff formulation, Fraunhofer case, Fresnel case, and holography; polarized light. Course Information: 4 undergraduate hours. 3 or 4 graduate hours. (3 hours without lab). Prerequisite: PHYS 214 and PHYS 435 or ECE 329.
Phys403 - Modern Experimental Physics [info] (Co-reqs: Phys485 or Phys486; )
Techniques and experiments in the physics of atoms, atomic nuclei, molecules, the solid state, and other areas of modern physical research. Course Information: 5 undergraduate hours. 4 graduate hours. Prerequisite: Credit or concurrent registration in PHYS 485 or PHYS 486.
Phys446 - Modern Computational Physics [info] (Pre-reqs: Phys246; )
This is an immersive advanced computational physics course. The goals in this class are to program from scratch, simulate, and understand the physics within a series of multi-week projects spanning areas such as quantum computing, statistical mechanics, the renormalization group, machine learning, and topological insulators. The course approach (lectures, one-on-one interaction in class, etc.) is centered around giving you the information and skills you need to succeed in carrying out these projects. Course Information: 3 undergraduate hours. No graduate credit. Prerequisite: PHYS 246.
Phys498SQD - Superconductor Devices for Quantum Information Science [info]
Superconductor Devices for Quantum Information Science Superconductor materials and devices have emerged as key components of quantum sensors and qubits for quantum computing and quantum simulation. In this course, we will cover the basic phenomena and physics of superconductivity and its implementation in Josephson devices for the exploration of quantum materials and in superconductor qubit architectures. PREREQUISITE: PHYS 486 Please contact the Department of Physics Undergraduate Studies Office through the following Queue@Illinois Queue: https://queue.illinois.edu/q/queue/864
Phys513 - Quantum Optics and Information [info] (Pre-reqs: Phys486; )
Experimental and theoretical fundamentals of quantum information, using nonclassical features of quantum physics (wave-particle duality, superposition, and entanglement) to surpass the information-processing capabilities of classical systems. Underlying fundamental quantum phenomena, including tests of nonlocality, quantum erasers, the quantum Zeno effect, squeezed light, multi-particle interference, state transformations of the Bloch sphere, and decoherence; quantum cryptography and teleportation; quantum information theory; quantum computation algorithms and techniques for error correction; experimental "qubit" systems. Course Information: Prerequisite: PHYS 486 is recommended.
Phys514 - Modern Atomic Physics [info] (Pre-reqs: Phys487; Phys427; Phys436; )
Rigorous survey of modern atomic, molecular, and optical physics, including a functional approach to theory and an overview of experimental techniques. Atomic structure, including fine and hyperfine structure, multi-electron atoms, and relativistic effects; interaction of single atoms with dynamic and static electromagnetic fields, ultra-cold collisions between atoms; laser cooling, evaporative cooling, and magnetic trapping; Paul and Penning traps; quantum degenerate gases; atom interferometry. Course Information: Prerequisite: PHYS 427, PHYS 436, and PHYS 487.
Phys598JYL - Many-Body Physics of Quantum Information [info]
QIS Adjacent Courses
Computer Science
CS374 - Algorithms [info]
Analysis of algorithms, major paradigms of algorithm design including recursive algorithms, divide-and-conquer algorithms, dynamic programming, greedy algorithms, and graph algorithms. Formal models of computation including finite automata and Turing machines. Limitations of computation arising from fundamental notions of algorithm and from complexity-theoretic constraints. Reductions, undecidability and NP-completeness. Course Information: Same as ECE 374. Prerequisite: One of CS 173, MATH 213; CS 225.
Chemistry
Chem442 - Quantum Mechanics [info] (Pre-reqs: Chem204 or Chem222; Math225 or Math257 or Math415; Phys211; Phys212; Phys214; )
Lectures and problems focusing on microscopic properties. CHEM 442 and CHEM 444 constitute a year-long study of chemical principles. CHEM 442 focuses on quantum chemistry, atomic and molecular structure, spectroscopy and dynamics. 4 undergraduate hours. 4 graduate hours. Credit is not given for both CHEM 442 and PHYS 485. Prerequisite: CHEM 204 or CHEM 222; MATH 225, 257, or 415, and a minimal knowledge of differential equations, or equivalent; and PHYS 211, PHYS 212, and PHYS 214 or equivalent.
Chem540 - Introductory Quantum Mechanics at the Graduate Level (Pre-reqs: Chem442; )
The sequence, CHEM 540 and CHEM 542, is designed to give seniors and graduate students a unified treatment of quantum mechanics and spectroscopy on an advanced level. CHEM 540 covers the principles of formalism of quantum mechanics, as well as the solution of the Schrodinger equation for models and simple chemical systems. Prerequisite: CHEM 442 or equivalent.
Chem542 - Quantum Mechanics and Spectroscopy (Pre-reqs: Chem540; )
Continuation of CHEM 540. Focusing on molecular spectroscopy, nonlinear spectroscopy, kinetics and application of quantum mechanics to dissipative systems. Prerequisite: CHEM 540.
Chem550 - Advanced Quantum Dynamics (Co-reqs: Chem540; )
The quantum mechanical and semi-classical description of time-dependent processes, including discussions of the time-dependent Schrodinger equation, approximations, interaction of matter with radiation, wave packets, elastic and inelastic scattering, and relaxation phenomena. Prerequisite: Concurrent registration in CHEM 540 or consent of instructor.
Math
Math416 - Abstract Linear Algebra [info]
Rigorous proof-oriented course in linear algebra. Topics include determinants, vector spaces over fields, linear transformations, inner product spaces, eigenvectors and eigenvalues, Hermitian matrices, Jordan Normal Form. 3 or 4 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 416 and either ASRM 406 or MATH 415. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241; MATH 314 or MATH 347; or consent of instructor.
Physics
Phys246 - Introduction to Modern Computational Physics [info] (Pre-reqs: Phys225; )
You will become a fearless code warrior, exploring the behaviors of systems that are too complicated for analytic characterization. You will calculate the trajectory of a relativistic starship and confirm an insight of Ramanujan, the "Man Who Knew Infinity." You will generate diagrams of spacetime curvature near black holes and confirm that General Relativity causes the non-Newtonian behavior of Mercury's orbit. You will calculate ? using simulated grains of sand. There will be chaos, Monte Carlo simulations, and adaptive numerical integrations. Course Information: Approved for Letter and S/U grading. Prerequisite: PHYS 211. Corequisites: MATH 231, PHYS 212, and PHYS 225. No prior programming experience is required. We welcome concurrent enrollment of high school students who meet the specified prerequisites.
Phys485 - Atomic Physics and Quantum Theory [info] (Pre-reqs: Phys214; )
Basic concepts of quantum theory which underlie modern theories of the properties of materials; elements of atomic and nuclear theory; kinetic theory and statistical mechanics; quantum theory and simple applications; atomic spectra and atomic structure; molecular structure and chemical binding. Course Information: 3 undergraduate hours. 3 graduate hours. Credit is not given for both PHYS 485 and CHEM 442. Prerequisite: PHYS 325. Credit or concurrent registration in PHYS 435.
Phys486 - Quantum Physics 1 [info] (Pre-reqs: Phys214; )
Atomic phenomena integrated with an introduction to quantum theory; evidence for the atomic nature of matter and the properties of the Schrodinger equation, single particle solutions in one dimension, the hydrogen atom, perturbation theory, external fields, and atomic spectroscopy of outer electrons. Course Information: 4 undergraduate hours. 4 graduate hours. Prerequisite: PHYS 214 and PHYS 435 or ECE 329. Class Schedule Information: Register for a lecture and a discussion section.
Phys487 - Quantum Physics 2 [info] (Pre-reqs: Phys486; )
Continuation of PHYS 486. Identical particles, spectral hyperfine structure, magnetic properties of matter, atomic spectroscopy of inner electrons, high-energy photon effects, molecular binding and spectra, emission and absorption of light, and symmetry principles. Course Information: 4 undergraduate hours. 4 graduate hours. Prerequisite: PHYS 486.
Phys495 - Where the Arts Meets Physics [info]
A project-based, cross-disciplinary course for students interested in exposure to the frontiers of physics and experiences in the arts. Students will explore physics topics through active participation in a broad range of artistic practices and expressions. Students will practice project design; independent study; team work; and dedicated assignments. Projects will be presented through an end-of-semester event. Event and topics are specific to each offering and may include physics-based museum exhibits, artistic work, and/or performance pieces. Course Information: 3 undergraduate hours. 3 graduate hours. May be repeated up to 6 hours in separate semesters, if topics vary. Prerequisite: Instructor Approval Required. Class Schedule Information: Students are expected to have a strong interest in both physics and the arts. Junior level course or equivalent in either Physics (or related field, such as Astronomy) or in the Arts (or related field, such as Design) expected.