Workshop I: Optimal Transport for Density Operators: Theory and Numerics

Part of the Long Program Non-commutative Optimal Transport
March 31 - April 4, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 31, 2025

Morning Session

Moderator - Tryphon Georgiou
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks
9:00 - 9:50
Shmuel Friedland (University of Illinois at Chicago)

On Quantum Optimal Transport

10:00 - 10:15 Break
10:15 - 11:05
Daniel Stilck Franca (University of Copenhagen)

Optimal quantum algorithm for Gibbs state preparation

11:15 - 11:30 Break
11:30 - 12:20
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Moderator - Dario Trevisan
2:30 - 3:20
Nataliia Monina (University of Ottawa)

Quantum Optimal Transport with Convex Regularization

3:30 - 4:00 Break
4:00 - 4:50
Eugene De Prince (Florida State University)

Lower Bounds in Quantum Chemistry

5:00 - 6:30 Reception (Location: IPAM Lobby)

Tuesday, April 1, 2025

Morning Session

Moderator - Kasia Pernal
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
Julia Liebert (Ludwig-Maximilians-Universität München)

Ensemble density matrix functional theory for excited states

11:15 - 11:30 Break
11:30 - 12:20
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Moderator - Eugene De Prince
2:30 - 3:20
3:30 - 4:00 Break
4:00 - 4:50

Wednesday, April 2, 2025

Morning Session

Moderator - Lorenzo Portinale
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Tryphon Georgiou (University of California, Irvine (UCI))

Sub-Riemannian geometry of Optimal Transport: mostly classical and a bit of quantum

10:00 - 10:15 Break
10:15 - 11:05
Emily Beatty (École Normale Supérieure de Lyon)

Order p quantum Wasserstein distances from couplings

11:15 - 11:30 Break
11:30 - 12:20
12:20 - 12:30 Group Photo
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Moderator - Stijn De Baerdemacker
2:30 - 3:20
Bobak Toussi Kiani (Harvard University)

Slow Mixing of Quantum Gibbs Samplers

3:30 - 4:00 Break
4:00 - 4:50 Lightning Talks - Valerii Chuiko, Peixue Wu and Jannis Erhard

Thursday, April 3, 2025

Morning Session

Moderator - Shmuel Friedland
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Rafael Oliveira (University of Waterloo)

Scaling problems and entropic optimal transport

10:00 - 10:15 Break
10:15 - 11:05
Stijn De Baerdemacker (University of New Brunswick)

Real-space quantum chemistry on quantum devices

11:15 - 11:30 Break
11:30 - 12:20
Alice Cortinovis (Stanford University)

Numerical approximation of traces of matrix functions

12:30 - 2:30 Lunch (on your own)

Afternoon Session

Moderator - Julia Liebert
2:30 - 3:20
Andreas Deuchert (Virginia Polytechnic Institute and State University)

The Gibbs state of the mean-field Bose gas

3:30 - 4:00 Break
4:00 - 4:50
Simone Rademacher (Ludwig-Maximilians-Universität München)

Large deviations for Bose-Einstein condensates


Friday, April 4, 2025

Morning Session

Moderator - Paul Ayers
8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
Eberhard Gross (The Hebrew University of Jerusalem)

Exact factorization of the many-particle wave function

11:15 - 11:30 Break
11:30 - 12:20