UNM
Physics and Astronomy, Summer 2022 course (PHYS
500.001 Adv. Sem.)
Organized by the Center
for Quantum Information and Control
Course coordinator:
Philip Blocher
Email: blocher@unm.edu
Office: PAIS 2526
Course
duration:
Wed June 1st to Wed August 3rd, 2022. The course consists of 10 sessions to be held weekly on Wednesdays from 4.00PM to 5.15PM Mountain Daylight Time.
Course prerequisites:
This course
assumes familiarity with quantum mechanics at the level of Physics 521-522.
Assignments:
Participants are required to read the materials assigned for each session
in advance, and to participate in the group discussions during each session.
Additionally, participants should be willing to present the assigned material.
General course information:
This course is a 10-week self-study program in which topics related to tensor network methods are explored. The first half of the course (sessions 1-6) will focus specifically on the matrix product states (MPS) tensor network formalism, while the second half (sessions 7-10) will survey topics related to tensor network methods in general. The first session will introduce the participants to the basics of tensor networks, while also highlighting examples of applications for tensor networks. An overview of the topics of this course will also be given in this session. In the remaining nine sessions, the course participants will take turns presenting topics based on reading material, which will be assigned every week. The presenters will also facilitate group discussions of their topics.
The 10 course sessions will be held on Wednesday from 4.00pm to 5.15pm
Mountain Daylight Time and will follow the usual ‘hybrid’ format with both
in-person attendance at PAIS room 2540 and virtual attendance using Zoom.
In parallel with the above sessions,
the course will also include an optional “code-along” track in which
participants will build their own numerical matrix product states library based
on the literature presented during the course sessions. The code-along track is
intended to provide the participants with intuition and hand-on experience on
the numerical implementation of the matrix product states formalism. Following
the completion of the course, the participants can then use their own MPS
library or one of the freely available tensor networks libraries for numerical
simulations. Code-along
track information, goals, and suggested code tests can be found here.
Code-along track office hours with Philip
Blocher will be held in person on Wednesdays 10am-12pm MDT at PAIS room 2210
and virtually on Wednesdays 1pm-2.30pm MDT using Zoom (ID: 976 1820 8213, PW: Tensor@UNM). For those participating in the code-along track, Philip will be available for help/discussion upon arrangement via email (blocher@unm.edu), via the CQuIC Slack, or in person at PAIS 2526.
Schedule of course sessions:
|
Session |
Date |
Topic |
Presenter(s) |
Slides |
|
1 |
June 1st |
Course overview and introduction to tensor networks |
Philip Blocher |
|
|
2 |
June 8th |
Matrix product states (MPS) |
Julia Kwok and |
|
|
3 |
June 15th |
Matrix product operators (MPOs) and Hamiltonians |
Ivan Gunther and |
|
|
4 |
June 22nd |
MPS bond dimensions, area law, and bond dimension
compression |
Jalan Ziyad and |
|
|
5 |
June 29th |
Time evolution of MPS |
Andrew Forbes |
|
|
6 |
July 6th |
Open quantum system dynamics using tensor networks |
Tyler Thurtell and |
|
|
7 |
July 13th |
The Density Matrix Renormalization Group (DMRG) |
Ben Corbett and |
|
|
8 |
July 20th |
Projected Entangled Pair States (PEPS) |
Juan Gonzales De Mendoza
and Conor Smith |
|
|
9 |
July 27th |
Machine learning using tensor networks |
Benjamin Anker and |
|
|
10 |
August 3rd |
Quantum error correction using tensor networks |
Sivaprasad Omanakuttan, |
Syllabus and bibliography:
The course syllabus, together with a list of references, can be found here.
Recordings:
UNM
participants: via Stream (netID required)
Non-UNM
participants: via OneDrive (password required, see email)
