Curriculum
Courses & Curriculum
The certificate is built on a core interdisciplinary course in quantum information science, supplemented by multiple electives that enable concentration in quantum theory, computation, communication, hardware, or materials.
Required Core Courses — 5 Credits (take one of the 3-credit courses and two semesters of quantum seminars)
This course provides a comprehensive introduction to the principles, techniques, and applications of quantum computing. Key topics include qubits, superposition, entanglement, quantum gates, quantum circuits, and quantum algorithms such as Grover's search and Shor's factoring algorithm. Students will also explore circuit benchmarking and quantum error correction techniques. A brief survey of popular physical realizations of a quantum computer will be given towards the end of the course.
This course covers fundamental principles, algorithms, and applications of quantum computing. Topics include quantum computing system components, quantum computing fundamentals, simple and advanced quantum algorithms, quantum cryptography, quantum error correction codes, QC programming tools and their implementations on quantum computers and platforms, as well as applications of quantum computing in machine learning, finance, and chemistry.
Weekly seminar series featuring invited speakers from academia and industry presenting current research across the full spectrum of quantum science and technology. Satisfactory completion requires ≥ 80% attendance and written reflections on two seminars of choice.
Elective Courses — 9 Credits (choose any 3 courses, according to your interests)
Foundational Quantum Theory
Foundations of quantum mechanics including the postulates of quantum theory, wave functions, the Schrödinger equation, operators and observables, the harmonic oscillator, and angular momentum. Essential preparation for advanced study in quantum science and engineering.
Development of quantum theory from wave mechanics to matrix mechanics, approximation methods with applications in modern physics, elementary scattering theory, relativistic quantum theory.
Continuation of Quantum Mechanics I. Topics include perturbation theory, identical particles, spin, addition of angular momenta, scattering theory, and introductory quantum field concepts. Builds the theoretical toolkit needed for quantum materials and quantum information research.
Development of quantum theory from wave mechanics to matrix mechanics, approximation methods with applications in modern physics, elementary scattering theory, relativistic quantum theory.
Advanced theoretical treatment of quantum fields covering quantization of scalar and Dirac fields, quantum electrodynamics, gauge theories, and scattering phenomena. Theoretical foundation for understanding fundamental interactions relevant to quantum many-body systems and high-energy physics.
This course examines quantum many-body physics as applied to condensed matter, atomic, and nuclear physics.
Quantum Computation & Communication
This course provides an introduction to the theory and practice of selected quantum technologies. It begins with essential concepts in quantum mechanics and quantum information, including qubits, quantum states, measurements, and operations on qubits. The course then covers quantum gates, basic quantum circuits, simple quantum algorithms, and foundational models of quantum communication. Representative physical implementations of qubits and quantum computers will also be discussed, giving students a broad understanding of both the theoretical principles and practical considerations underlying modern quantum technologies.
This course provides introduction to quantum information, quantum communication, quantum sensing, and quantum networks. It begins with the basic principles of quantum mechanics, including state vectors, operators, density operators, measurements, and quantum dynamics. The course then covers quantum information processing, basic quantum gates, the no-cloning theorem, and the indistinguishability of arbitrary quantum states, followed by topics in quantum information theory, quantum detection, Gaussian quantum information, quantum communication, and quantum key distribution. The final part focuses on quantum networking, quantum metrology, and quantum sensing.
Quantum Hardware & Devices
This course introduces the fundamental principles of quantum computing, including qubits, quantum gates, quantum circuits, and representative quantum algorithms. It also provides an overview of major quantum hardware platforms, with particular emphasis on superconducting quantum circuits. Students will learn how quantum information is encoded, manipulated, and measured in these systems, as well as the key design and implementation considerations that underpin modern superconducting quantum processors.
This course introduces the principles and practices of cryogenics for quantum information science and engineering applications. It covers the behavior of materials and devices at low temperatures, low-temperature measurement techniques, thermal management, refrigeration cycles, cryocoolers, and the operating principles of dilution refrigerators. Emphasis will be placed on cryogenic systems used for quantum technologies such as superconducting quantum circuits and other low-temperature quantum platforms. Students will gain a practical understanding of heat transfer, thermal anchoring, wiring, and experimental design considerations essential for reliable quantum measurements at cryogenic temperatures.
Quantum Materials & Characterization
Crystal structure, phonons, electron in metals, semiconductors, magnetism, ferroelectrics, liquid crystals.
Elementary excitations in solids, the many-body problem, quantum fluids and superconductivity, magnetism, dielectric, collective effects in fluids.
This course is an introduction to the basic phenomena and physical concepts related to condensed matter systems, including experimental methodologies and the physics foundation of many modern technologies.
This course introduces students to the field of magnetism and magnetic materials. The first part covers the fundamental principles and concepts of magnetism. The second part is devoted to methods used for characterization of magnetic properties. The third part considers specific classes of magnetic materials and their applications.