CS 258: Quantum Cryptography (Fall 2025)


1 Course Overview

Course description: This course will give an overview of how the development of quantum computers will fundamentally change the landscape of modern cryptography. This course will cover both the threats and opportunities of quantum computers for cryptography, and will include the following topics:

Prerequisites: Knowledge of linear algebra and algorithms. We will not be assuming any knowledge of quantum computing, physics, or cryptography. CS255 and CS259Q are explicitly not required, though they may be beneficial.

Textbook: The course will be self-contained, with no required textbooks.

2 Tentative Schedule





Lecture Topic Assignments Notes




1 - M, 9/22 Course Intro, Basics of Cryptography HW1 Assigned [1]




2 - W, 9/24 Overview of Quantum Mechanics [2]




3 - M, 9/29 Quantum Key Distribution [3]




4 - W, 10/1 Quantum Money HW1 Due [4]




5 - M, 10/6 Quantum Computing & Grover’s Algorithm HW2 Assigned [5]




6 - W, 10/8 Shor’s algorithm [6]




7 - M, 10/13 Cryptographic Group Actions [7]




8 - W, 10/15 Kuperberg’s Algorithm HW2 Due




9 - M, 10/20 Lattice Cryptography




10 - W, 10/22 Lattice Cryptography, Continued




M, 10/27 No class, Take-home Midterm Take-home Midterm




11 - W, 10/29 Regev’s Reduction HW3 Assigned




12 - M, 11/3 LWE vs Dihedral Hidden Subgroups




13 - W, 11/5 Security proofs in post-quantum cryptography HW3 Due




14 - M, 11/10 Security proofs in post-quantum cryptography, ContinuedHW4 Assigned




15 - W, 11/12 The need for computational security




16 - M, 11/17 Cryptography in a world where P = NP. HW5 Assigned




17 - W, 11/19 Public key quantum money HW4 Due




11/24 - 11/28No class, Thanksgiving break




18 - M, 12/1 Advanced topics




19 - W, 12/3 Advanced topics HW5 Due




12/8-12/12 Take-home Final Take-home Final




3 Homework Assignments

Homework 1. Assignment LaTeX file. Due 10/1.

Homework 2. Assignment LaTeX file. Due 10/15.

macros

There will be 5 homework assignments totaling 500 points (50% of the overall grade). Each assignment is 100 points (10% of the overall grade).

Policies. Homeworks will generally be due at 11:59pm (pacific time) on Wednesdays, and will be assigned 7-9 days prior to the due date.

4 Exams

There will be a take-home midterm and take-home final. The midterm and final will be 200 points and 300 points, respectively, or equivalently 20% and 30% of the overall grade. Both exams will be completed individually. For both exams, the exam will be timed, but students will be given a window of a few days in which to take the exam. The midterm will occur around October 27. Class will be canceled on that day, so in principle the midterm could be completed during the lecture time, but that will not be necessary. The final will occur during finals week. There are no late days for midterms or finals. Due to the time constraints, exams may be hand-written. Further details TBA.

5 Grading

The raw final point total will be out of 1000 points, comprising:

The raw final point total will exclude bonus points. The adjusted final point total will be the raw point total plus any bonus points.

How letter grades are assigned. There is no fixed relationship between final point total and the letter grade assigned. There is also no fixed percentage of the class receiving any particular letter grade, though expect the distribution of letter grades to be roughly consistent with other 200-level courses in the department.

Letter grades will be assigned approximately by the following algorithm:

  1. Determine letter grade cutoffs based on the distribution of raw point totals, ignoring bonus points.

  2. Assign students a letter grade based on their adjusted point totals, using the cutoffs determined in Step 1.

As such, bonus points are truly optional, and can only improve your final letter grade.

6 LaTeX

It is strongly encouraged to use LaTeX for typesetting solutions to homework assignments. Learning LaTeX will save time in the long-run, as it is much more efficient for typesetting math than other methods such as MS Word. It also helps the course staff by making the solutions easier to read.

The easiest way to get started is probably an online environment such as Overleaf. Stanford students are given a free Pro account. Here is a LaTeX guide.

7 Getting Help

Please post broadly applicable questions (both administrative or conceptual) on the Ed Discussion. For individual concerns, please email the course staff. The course staff will also hold office hours as outlined in Section 1.