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

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
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
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
Lorenzo Portinale (University of Bonn)
Entropic quantum optimal transport and Pauli exclusion principle

Afternoon Session

12:30-14:30
Lunch (on your own)
Moderator - Dario Trevisan
14:30-15:20
Nataliia Monina (University of Ottawa)
Quantum Optimal Transport with Convex Regularization
15:30-16:00
Break
16:00-16:50
Eugene De Prince (Florida State University)
Lower Bounds in Quantum Chemistry
17:00-18:30
Reception (Location: IPAM Lobby)

Tuesday, April 1, 2025

Morning Session

Moderator - Kasia Pernal
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Paul Ayers (McMaster University)
A Quantum Optimal Transport Approach to the (Exact) 1-Electron Density-Matrix Functional
10:00-10:15
Break
10:15-11:05
Julia Liebert (Princeton University)
Ensemble density matrix functional theory for excited states
11:15-11:30
Break
11:30-12:20
Sarina Sutter (Vrije Universiteit)
Reduced Density Matrix Functional Theory for the Canonical Ensemble in Finite Basis Set

Afternoon Session

12:30-14:30
Lunch (on your own)
Moderator - Eugene De Prince
14:30-15:20
Michele Pavanello (Rutgers University-Newark)
Learning functional theories of the 1- and 2-electron reduced density matrices
15:30-16:00
Break
16:00-16:50
Nick Rubin (Google Quantum AI)
The sum-of-squares hierarchy and faster quantum simulation by spectrum amplification

Wednesday, April 2, 2025

Morning Session

Moderator - Lorenzo Portinale
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
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
Marvin Randig (Leipzig University)
Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport

Afternoon Session

12:20-12:30
Group Photo
12:30-14:30
Lunch (on your own)
Moderator - Stijn De Baerdemacker
14:30-15:20
Bobak Toussi Kiani (Harvard University)
Slow Mixing of Quantum Gibbs Samplers
15:30-16:00
Break
16:00-16:50
Lightning Talks - Valerii Chuiko, Peixue Wu and Jannis Erhard

Thursday, April 3, 2025

Morning Session

Moderator - Shmuel Friedland
08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
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

Afternoon Session

12:30-14:30
Lunch (on your own)
Moderator - Julia Liebert
14:30-15:20
Andreas Deuchert (Virginia Tech)
The Gibbs state of the mean-field Bose gas
15:30-16:00
Break
16:00-16:50
Simone Rademacher (Ludwig-Maximilians-Universität München)
Large deviations for Bose-Einstein condensates
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