CQSE Education Programs

Just as Newton's laws provided the blueprint for the industrial revolution, the laws of quantum mechanics point the way to new technology that will revolutionize computation, communication, and sensing. However, the coming of this ‘quantum industrial revolution’ is being slowed by a lack of workforce. Currently, quantum science and engineering jobs are filled by students with related training in Chemistry, Computer Science, Engineering, Material Science, Math, and Physics. However, no one discipline fully prepares students for this field and there is significant amount of on-the-job training.

To meet this demand, UCLA is establishing an interdisciplinary program in quantum science and engineering set to begin in Fall 2022. The UCLA Masters of Quantum Science and Technology (QST) is a one-year, full-time program that begins in Fall and concludes at the end of the following Summer quarter. The program consists of nine courses (36 units), an internship, and a capstone presentation on the internship. Some of these courses are designed specifically for the QST program, however, they will also be offered to both graduate students in state­ supported programs to provide a means to elevate academic excellence within our departments. This program is a professional degree program and is not a step towards a PhD degree. While the QST training will enhance the qualifications for an academic career, the QST curriculum emphasizes breadth and laboratory work. This will equip students to apply their skills in diverse settings.

The UCLA QST program is centered around hands-on research through three laboratory classes (QST 210-213), which introduce the students to the topics and technology of the field. These classes are complemented with three theory classes (QST 201-203), which are crafted to bring students from diverse backgrounds to a working knowledge of QST topics. The students will also take two classes in programming quantum computers (QST 205-206) to prepare them for the workforce as well as one elective already taught in Physics, Math, Chemistry, Engineering, or Computer Science. This innovative, active learning curriculum has been designed to provide rigorous training in QST. The QST also program provides students with the opportunity to interact with UCLA’s stellar research faculty in a variety of contexts, including as instructors and guest lecturers in QST courses and as participants in the colloquia series.

CQSE Masters Degree in Quantum Science and Technology

Course List

Course
Department
Quarter
Quantum Computation
QST 201
Physics
Fall

This class will briefly review linear algebra associated quantum mechanics and cover quantum circuits, quantum Fourier transform, quantum algorithms. It will also review physical implementations of quantum computers.

Quantum Information
QST 202
Physics
Winter

This class will cover topics related to quantum information. These include density matrix evolution, decoherence, characterization of quantum states, distance measures between quantum states, fidelity, quantum error correction, entropy and information, and quantum information theory.

Theory of Quantum Devices
QST 203
Physics
Spring

This is the most advanced theory course, with some elements of quantum transport and advanced many-body physics. The main goal is to introduce and compare different types of physical building blocks available for quantum computing. Practical issues, such as scalability and comparison between different physical platforms and the associated devices, are to be addressed.

Quantum Programming
QST 205
Computer Science
Fall

How do we run quantum algorithms on quantum computers? Sign up for this course and learn how. We will study the foundations, algorithms, and languages of quantum computing, and we will run quantum programs on real and simulated quantum computers.

Quantum Algorithms
QST 206
Computer Science
Winter

Building on the material already covered in QST 201 and 205, this course pursues a deeper discussion of algorithms for chemistry, machine learning, and optimization.

Lab Modules
QST 210-212
Physics
Fall, Winter, Spring

QSEC 210-212 are a series of Lab Modules to be completed by QSEC Master’s students. Each quarter each student and their lab partner will select five laboratory experiments from the experiment menu, schedule dates for use of the equipment, and complete the project.

Elective Course List

Course
Department
Number
Electronics for Physics Measurement
Physics
117

Hands-on experimental course to develop understanding of design principles in modern electronics for physics measurements. Broad introduction to analog and digital electronics from practical viewpoint, followed by examination of typical circuits for scientific instrumentation and study of methods of computer data acquisition and signal processing.

Electronics for Physical Measurement
Physics
118

Provides students with opportunity to apply basic knowledge of circuit design for purpose of building stand-alone circuits with function related to control or measurement. Examples of physics-oriented projects include radio-frequency detection and measurement of mechanical resonances of bar, FM transmitter, speed of sound using radio-frequency pulsed ultrasound, sun-following pointers, cosmic ray detector.

Atomic Structure
Physics
123

Theory of atomic structure. Interaction of radiation with matter.

Advanced Atomic Structure
Physics
213.A

Atomic and molecular structure, light-matter interactions, density matrix representation, Jayne-Cummings Hamiltonian, and sample of current techniques.

Advanced Atomic Structure
Physics
213.B

N-j symbols, continuous groups, fractional parentage coefficients, n electron systems.

Molecular Structure
Physics
213.C

Application of group theory to vibrational and electronic states of molecules. Molecular orbital theory. Raman effect. Angular momentum and coupling in molecules.

Introduction to Solid-State Physics
Physics
140.A

Introduction to basic theoretical concepts of solid-state physics with applications. Crystal symmetry; cohesive energy; diffraction of electron, neutron, and electromagnetic waves in a lattice; reciprocal lattice; phonons and their interactions; free electron theory of metals; energy bands.

Properties of Solids
Physics
140.B

Elementary discussion of properties of solids. Use of theory of electrons and the lattice to examine properties of semiconductors, metals, and superconductors, together with magnetic and dielectric properties of materials. Properties of noncrystalline solids.

Solid-State Physics
Physics
241.A

Symmetry, free electrons, electrons in periodic potential, experimental measurement of band structure and Fermi surface parameters, cohesive energy, lattice vibrations, thermal properties.

Solid State Physics
Physics
241.C

Semiconductors, magnetism, phase transitions, superconductivity.

Quantum Mechanics
Physics
221.A

Fundamentals of quantum mechanics, operators and state vectors, equations of motion.

Quantum Mechanics
Physics
221.B

Rotations and other symmetry operations, perturbation theory.

Quantum Mechanics
Physics
221.C

Formal theory of collision processes, quantum theory of radiation, introduction to relativistic quantum mechanics.

Quantum Chemistry
Chemistry
115A

Postulates and systematic development of nonrelativistic quantum mechanics; expansion theorems; wells; oscillators; angular momentum; hydrogen atom; matrix techniques; approximation methods; time dependent problems; atoms; spectroscopy; magnetic resonance; chemical bonding.

Quantum Chemistry
Chemistry
115B

Postulates and systematic development of nonrelativistic quantum mechanics; expansion theorems; wells; oscillators; angular momentum; hydrogen atom; matrix techniques; approximation methods; time dependent problems; atoms; spectroscopy; magnetic resonance; chemical bonding.

Quantum Chemistry: Methods
Chemistry
215A

Postulates and systematic development of nonrelativistic quantum mechanics; expansion theorems; wells; oscillators; angular momentum; hydrogen atom; matrix techniques; approximation methods; time dependent problems; atoms; spectroscopy; magnetic resonance; chemical bonding.

Quantum Chemistry: Methods
Chemistry
215B

Postulates and systematic development of nonrelativistic quantum mechanics; expansion theorems; wells; oscillators; angular momentum; hydrogen atom; matrix techniques; approximation methods; time dependent problems; atoms; spectroscopy; magnetic resonance; chemical bonding.

Seminar: Research in Physical Chemistry--Nanoscience
Chemistry
219S

Advanced study and analysis of current topics in physical chemistry. Discussion of current research and literature in research specialty of faculty member teaching course.

Seminar: Research in Physical Chemistry--Complex Fluids: Composition, Structure, and Rheology
Chemistry
219V

Advanced study and analysis of current topics in physical chemistry. Discussion of current research and literature in research specialty of faculty member teaching course.

Introduction to Computer Science I
Computer Science
31

Procedural and data abstraction. Introduction to object-oriented software development. Functions, recursion. Arrays, strings, pointers. Abstract data types, object-oriented programming. Examples and exercises from computer science theory and applications.

Introduction to Computer Science II
Computer Science
32

Object-oriented view of data structures: stacks, queues, lists. Algorithm analysis. Trees, graphs, and associated algorithms. Searching and sorting. Case studies and exercises from computer science applications.

Fundamentals of Artificial Intelligence
Computer Science
161

Introduction to fundamental problem solving and knowledge representation paradigms of artificial intelligence. Introduction to Lisp with regular programming assignments. State-space and problem reduction methods, brute-force and heuristic search, planning techniques, two-player games. Knowledge structures including predicate logic, production systems, semantic nets and primitives, frames, scripts. Special topics in natural language processing, expert systems, vision, and parallel architectures.

Circuit Theory I (Honors)
Electrical and Computer Engineering
10H

Introduction to linear circuit analysis. Resistive circuits, capacitors, inductors and ideal transformers, Kirchhoff laws, node and loop analysis, first-order circuits, second-order circuits, Thevenin and Norton theorem, sinusoidal steady state.

Circuits Laboratory I
Electrical and Computer Engineering
11L

Experiments with basic circuits containing resistors, capacitors, inductors, and transformers. Ohm's law voltage and current division, Thevenin and Norton equivalent circuits, superposition, transient and steady state analysis.

Electrical and Electronic Circuits
Electrical and Computer Engineering
100

Electrical quantities, linear circuit elements, circuit principles, signal waveforms, transient and steady state circuit behavior, semiconductor diodes and transistors, small signal models, and operational amplifiers.

Circuit Theory II (Honors)
Electrical and Computer Engineering
110H

Sinusoidal excitation and phasors, AC steady state analysis, AC steady state power, network functions, poles and zeros, frequency response, mutual inductance, ideal transformer, application of Laplace transforms to circuit analysis.

Circuits Laboratory II
Electrical and Computer Engineering
111L

Experiments with electrical circuits containing resistors, capacitors, inductors, transformers, and op-amps. Steady state power analysis, frequency response principles, op-amp-based circuit synthesis, and two-port network principles.

Digital Signal Processing
Electrical and Computer Engineering
113

Relationship between continuous-time and discrete-time signals. Z-transform. Discrete Fourier transform. Fast Fourier transform. Structures for digital filtering. Introduction to digital filter design techniques.

Analog Electronic Circuits I
Electrical and Computer Engineering
115A

Review of physics and operation of diodes and bipolar and MOS transistors. Equivalent circuits and models of semiconductor devices. Analysis and design of single-stage amplifiers. DC biasing circuits. Small-signal analysis. Operational amplifier systems.

Analog Electronic Circuits II
Electrical and Computer Engineering
115B

Analysis and design of differential amplifiers in bipolar and CMOS technologies. Current mirrors and active loads. Frequency response of amplifiers. Feedback and its properties. Stability issues and frequency compensation.

Digital Electronic Circuits
Electrical and Computer Engineering
115C

Transistor-level digital circuit analysis and design. Modern logic families (static CMOS, pass-transistor, dynamic logic), integrated circuit (IC) layout, digital circuits (logic gates, flipflops/latches, counters, etc.), computer-aided simulation of digital circuits.

Analog Electronics Laboratory I
Electrical and Computer Engineering
115AL

Experimental determination of device characteristics, resistive diode circuits, single-stage amplifiers, compound transistor stages, effect of feedback on single-stage amplifiers, operational amplifiers, and operational amplifier circuits. Introduction to hands-on design experience based on individual student hardware design and implementation platforms.

Principles of Semiconductor Device Design
Electrical and Computer Engineering
121B

Enforced requisite: course 2. Introduction to principles of operation of bipolar and MOS transistors, equivalent circuits, high-frequency behavior, voltage limitations.

Introduction to Machine Learning
Electrical and Computer Engineering
M146

Introduction to breadth of data science. Foundations for modeling data sources, principles of operation of common tools for data analysis, and application of tools and models to data gathering and analysis. Topics include statistical foundations, regression, classification, kernel methods, clustering, expectation maximization, principal component analysis, decision theory, reinforcement learning and deep learning.

Introduction to Microscale and Nanoscale Manufacturing
Electrical and Computer Engineering
M153

Introduction to general manufacturing methods, mechanisms, constrains, and microfabrication and nanofabrication. Focus on concepts, physics, and instruments of various microfabrication and nanofabrication techniques that have been broadly applied in industry and academia, including various photolithography technologies, physical and chemical deposition methods, and physical and chemical etching methods. Hands-on experience for fabricating microstructures and nanostructures in modern cleanroom environment.

Introductory Microwave Circuits
Electrical and Computer Engineering
163A

Enforced requisite: course 101B. Transmission lines description of waveguides, impedance matching techniques, power dividers, directional couplers, active devices, transistor amplifier design.

Introduction to Microwave Systems
Electrical and Computer Engineering
163C

Theory and design of modern microwave systems such as satellite communication systems, radar systems, wireless sensors, and biological applications of microwaves.

Principles of Photonics
Electrical and Computer Engineering
170A

Development of solid foundation on essential principles of photonics from ground up with minimum prior knowledge on this subject. Topics include optical properties of materials, optical wave propagation and modes, optical interferometers and resonators, optical coupling and modulation, optical absorption and emission, principles of lasers and light-emitting diodes, and optical detection.

Photonic Devices and Circuits
Electrical and Computer Engineering
170B

Coverage of core knowledge of practical photonic devices and circuits. Topics include optical waveguides, optical fibers, optical couplers, optical modulators, lasers and light-emitting diodes, optical detectors, and integrated photonic devices and circuits.

Microwave and Wireless Design I
Electrical and Computer Engineering
163DA

Capstone design course, with emphasis on transmission line-based circuits and components to address need in industry and research community for students with microwave and wireless circuit design experiences. Standard design procedure for waveguide and transmission line-based microwave circuits and systems to gain experience in using Microwave CAD software such as Agilent ADS or HFSS. How to fabricate and test these designs.