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Doctor of Philosophy (PhD) in Applied Mathematics - Quantum Information


Что я буду изучать?

Program information

Admit term(s)

  • Fall
  • Winter
  • Spring

Delivery mode

  • On-campus

Program type

  • Doctoral
  • Research

Registration option(s)

  • Full-time
  • Part-time

Study option(s)

  • Thesis

Degree requirements

Thesis option:

The program of studies of a PhD student is directed by a PhD Advisory Committee consisting of the supervisor(s) and two other faculty members. This committee should be approved (by the graduate officer) within three terms of enrollment. At least one of the two other members should be from (or cross-appointed to) the Department, and one of the members should be from outside the research group of the supervisor(s).

  • Graduate Academic Integrity Module (Graduate AIM)
  • Courses

Students must complete 4 one-term (0.50 unit) graduate courses after the Master's degree, satisfying a breadth requirement, or 8 one-term (0.50 unit) graduate courses after the Bachelor's degree, satisfying a breadth requirement. Candidates for the PhD degree must maintain a grade point average of at least 70% in their coursework. Besides the breadth requirement, there are no other constraints on course selection.

Breadth requirement: to satisfy the breadth requirement, students are required to complete 3 courses from the following lists, with no more than 1 course from each list:


  • AMATH 663 Fluid Mechanics
  • AMATH 673 Quantum Theory 2
  • AMATH 674 Quantum Theory 3: Quantum Information and Foundations
  • AMATH 675 Introduction to General Relativity


  • AMATH 642 Computational Methods for Partial Differential Equations
  • AMATH 740 Numerical Analysis
  • AMATH 741 Numerical Solution of Partial Differential Equations

Differential Equations:

  • AMATH 651 Introduction to Dynamical Systems
  • AMATH 653 Partial Differential Equations 2
  • AMATH 655 Control Theory
  • AMATH 751 Advanced Ordinary Differential Equations
  • AMATH 753 Advanced Partial Differential Equations


  • AMATH 656 Calculus of Variationsƒ
  • AMATH 677 Stochastic Processes for Applied Mathematics
  • AMATH 731 Applied Functional Analysis
  • AMATH 732 Asymptotic Analysis and Perturbation Theory
  • AMATH 777 Stochastic Processes in the Physical Sciences

Quantum Information core course requirement: students are required to take the 2 Quantum Information core courses listed below. These interdisciplinary courses provide a strong foundation in quantum information science:

  • QIC 710 Quantum Information Processing
  • QIC 750 Implementation of Quantum Information Processing

The completion of 2 graduate courses in Quantum Information (other than QIC 710 and QIC 750) is also required.

  • PhD Comprehensive Examination
  • PhD Lecturing Requirement
  • PhD Quantum Information Seminar

  • PhD Thesis

На каком факультете я буду учиться?

Faculty of Mathematics

Варианты обучения


Full-time tuition per term: $7,396.00; Full-time incidental fees per term (including HST): $800.95; Graduate co-operative programs: A fee in the amount of $745.00 per four-month work-term will be charged to students using the services of Co-operative Education. The given fees refers to the academic year 2022-2023 and subject to change it for upcoming intakes.
Начало обучения

Январь 2023, Май 2023


Faculty of Mathematics

University of Waterloo,


Ontario (ON),

N2L 3G1, Canada

Вступительные требования

Для студентов, проживающих в Соединенных Штатах

Applicants must have a 75% overall standing, or equivalent, in the previous degree is the minimum requirement for admission to a PhD program. In addition, candidates must demonstrate other superior qualifications, such as advanced research ability. It should be noted that many departments have standards higher than the minimum. Some departments admit exceptional applicants directly into the PhD from an Honours undergraduate program; most admit from the Master's into the PhD; and in certain instances a candidate who has successfully completed one PhD may be admitted into a second PhD in a complementary area. Other English language requirements: Paper-Based  TOEFL(PBT): 580; MELAB - Michigan English Language Assessment Battery: 85,80 per section For co-op programs: speaking 3; CAEL - Canadian Academic English Language Assessment: 70, 60 per band, Writing 70,Speaking 70; PTE Academic - Pearson Test of English: 63, Writing 65, Speaking 65; EFAS - English for Academic Success: 75% overall in 400 level with 75% in each of academic, oral, and writing.

Для иностранных студентов

Minimum requirements

  • Minimum grade point average: 78% or its equivalent.
  • It is absolutely essential that the application for admission into the program contain evidence of potential for performing original research. This should be provided by successful completion of a Master’s thesis in a mathematics-related discipline.
  • In some circumstances a student enrolled in the MMath program may transfer to the PhD program without completing their MMath program.
  • Three references, normally from academic sources

English language proficiency

  • Internet-based TOEFL (iBT) - 90; writing 25; speaking 25
  • IELTS (Academic) - 7.0; writing 6.5; speaking 6.5
  • Cambridge English test (C1 Advanced or C2 Proficiency) - 185; minimum 176 in each area
  • CAEL - 70; 60 per band; 70 writing; 70 speaking
  • PTE (Academic) - 63; writing 65; speaking 65
  • EFAS - 75% overall in level 400 with at least 75% in writing, oral and academic skills

Требования к IELTS могут отличаться в зависимости от выбранного курса


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