A student graduating with a bachelor's degree from CU Boulder may also earn a minor in quantum engineering. Students earning a Bachelor of Science in Electrical Engineering or Electrical & Computer Engineering are eligible for this minor; however, they may not count the three required courses for the minor towards both their bachelor's degree and their minor.

The minor in quantum engineering provides training and a solid foundation in quantum technologies. Quantum technologies have applications in quantum-enhanced sensors, quantum communications, and quantum computing. The goal is to introduce students to the fundamentals of quantum theory and explore all of the major hardware platforms. This will allow graduates to easily adapt to the variety of technologies seen in industry. The skills obtained in this minor are important to students who expect to participate in real-world situations that increasingly involve quantum technologies. 



Students admitted to the Quantum Engineering Minor must have a cumulative GPA of 2.700 or better.

There are three prerequisites for the quantum engineering minor.

  1. Programming. ASEN 1320, ECEN 1310, CSCI 1300, APPM 3050, PHYS 2600 or similar.
  2. Calculus 2 (minimum). APPM 1360, MATH 2300 or similar.
  3. Linear Algebra. MATH 3135, MATH 2130, MATH 2135, APPM 3310, CSCI 2820, APPM 2360 or similar.

Additionally, it is recommended that students have taken Calculus 3: APPM 2350MATH 2400 or similar and probability: APPM 3570STAT 3100MATH 3510ECEN 3810 or similar.  Finally, PHYS 2130 is recommended as a preparatory subject for the minor. A grade of C- or better is required in all prerequisite courses.

Course Requirements

This minor requires a minimum of 18 credit hours.

A cumulative GPA of 2.000 or better is required for courses used to satisfy the requirements of this minor. Each individual course that is counted toward this minor must be passed with a grade of D- or better (note that a C- or better grade is required in all prerequisite courses).

Required Courses and Credits

Within the Quantum Engineering minor there is a theory and experimental track. It will consist of a set of required core courses and a selection of electives, as follows.

Foundations Courses (to be taken by both Theory & Experimental Track students)6
ECEN 4915 (ECEN 4914 Foundations of Quantum Engineering)
ECEN 4925Foundations of Quantum Hardware3
Track Course3
Theory Track
CSCI 3090Introduction to Quantum Computing3
or PHYS 3090 Introduction to Quantum Computing
Experimental Track (to be offered starting in 2023 or 2024)
ECEN 4XXX Quantum Engineering Lab
Electives 19
Electromagnetic Fields and Waves
Electromagnetic Waves and Transmission
Control Systems Analysis
Compiler Construction
Undergraduate Optics Laboratory
Optoelectronic System Design
Microwave and RF Laboratory
Theory of Machine Learning
High-Dimensional Probability for Data Science
Introduction to Solid State Physics
Thermodynamics and Statistical Mechanics
Advanced Laboratory
Data Assimilation in High Dimensional Dynamical Systems
Advanced Statistical Modeling
Markov Processes, Queues, and Monte Carlo Simulations
Statistical Learning
Introduction to Time Series
Instrumentation and Process Control
Physical Chemistry for Engineers
Chemical Engineering Laboratory
Numerical Computation
Theory of Computation
Compiler Construction
Machine Learning
Finite Element Analysis