Fall 2023 - PHYS 816 G100

Quantum Information Science (3)

Class Number: 5626

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 6 – Oct 6, 2023: Tue, Thu, 10:30 a.m.–12:20 p.m.
    Burnaby

    Oct 11 – Dec 5, 2023: Tue, Thu, 10:30 a.m.–12:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 11, 2023
    Mon, 7:00–10:00 p.m.
    Burnaby

  • Prerequisites:

    Recommended Prerequisite: PHYS 385 and either PHYS 384 or MATH 314 and 419, or equivalent, with a minimum grade of C-.

Description

CALENDAR DESCRIPTION:

Includes topics such as qubits, density matrices, mixed states, entanglement, basic quantum algorithms, quantum cryptography, computational models and complexity, introductory quantum error correction, and applications. Students with credit for PHYS 416 may not take this course for further credit.

COURSE DETAILS:

Four main chapters: Basics of quantum information, entanglement, quantum computation, and quantum communications. Specific topics to cover includes qubits, quantum operations, basics of open quantum systems, entanglement measures, teleportation, logic gates, simple quantum algorithms, quantum error correction, special-purpose quantum computation, basics of information theory, quantum key distribution, etc.

Content:

  1. Basics of quantum information
  • Pure and mixed states
  • Quantum operations (unitary, measurement)
  • Figures of merit (purity, fidelity)
  • Multi-partite system
  • No-cloning theorem
  • Open quantum systems (Master equation, CPTP map)
  1. Entanglement
  • Pure-state entanglement
  • EPR paradox & Bell's inequality
  • Quantum teleportation
  • Local Operation and Classical Communication
  • Entanglement measures and their operational meaning
  1. Quantum computation
  • DiVincenzo’s criteria
  • Quantum logic gates & circuit
  • Universality of quantum computation
  • Deutsch’s algorithm, Quantum phase estimation, Shor’s algorithm
  • Quantum simulation
  • Adiabatic quantum computing
  • Quantum error correction
  1. Quantum communication
  • Information capacity
  • Superdense coding
  • Quantum key distribution

COURSE-LEVEL EDUCATIONAL GOALS:

*Students who took `Introduction to Quantum Information Science’ in Spring 2019 (PHYS 492 or PHYS 881) cannot take this course for credit.

*Depending on the number of students registered, lectures in the last two weeks will be reserved for group presentations.

Content:
Basics of quantum information (density matrix, gates, measurement, channel)
Entanglement (Bell’s inequality, teleportation, entanglement measures)
Errors and correction strategies (decoherence, quantum error correction code)
Quantum computation and simulation (circuit model, algorithm, adiabatic model)
Quantum communication (dense coding, quantum key distribution)
Optional: physical implementations of quantum devices (e.g. trapped ion, photons, superconductors…), quantum sensing

Grading

  • Assignments 40%
  • Presentation 30%
  • Participation in presentation 10%
  • Final exam 20%

NOTES:

Assignments:

There will be 5 assignments in total. Assignments will be submitted electronically via Crowdmark. Marks will be deducted for late submission. In each assignment, questions worth 25% of total marks will be optional to PHYS 416 students, though they can get bonus marks if correctly attempted.

Exam: There will be a 3-hour exam at the end of semester. The difficulty of exam questions will be similar to assignment questions. Questions worth 25% of total marks will be optional to PHYS 416 students, though they can get bonus marks if correctly attempted.

Presentations:

Each graduate student (PHYS 816) or a team with maximum two undergraduate students (PHYS 416) will be required to give a 20-minute presentation near the end of the term. Students can choose the presentation topic from a selected collection of seminal works in quantum information science (see below) or any related topic upon instructor’s approval. Undergraduate students are required to attend all presentations (10% Participation for PHYS 416 students). Graduate students are required to both attend and ask questions in all presentations (10% Participation for PHYS 816 students).

Examples of presentation topics:

  • Linear optics quantum computing
  • Trapped ion quantum computing
  • Quantum repeater
  • Grover's search algorithm
  • Quantum machine learning
  • Variational quantum eigensolver
  • Loop-hole free Bell's inequality test
  • Quantum secret sharing
  • Quantum random number generator
  • Deterministic quantum computation with 1 qubit (DQC1)
  • Measurement-based quantum computation
  • Continuous-variable quantum computation
  • Quantum bit commitment
  • Quantum metrology
  • Quantum-assisted telescope
  • Boson-sampling

Materials

MATERIALS + SUPPLIES:

Recommended Textbook:
“Quantum computation and quantum information” by Michael A. Nielsen & Isaac L. Chuang (Cambridge University Press, 2010)  (At least 3 copies are reserved at library)

Course notes will be provided online before each lecture

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the semester are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.