Workshop II: Dynamics of Density Operators - IPAM

Workshop II: Dynamics of Density Operators

Part of the Long Program Non-commutative Optimal Transport
April 28 - May 2, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, April 28, 2025

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
Session Chair: Tryphon Georgiou (University of California Irvine)
09:00-09:50
Eric Carlen (Rutgers University New Brunswick/Piscataway)
On the rate of approach to steady state for some Lindblad evolutions equations arising in statistical mechanics.
10:00-10:15
Break
10:15-11:05
Dániel Virosztek (Alfréd Rényi Institute)
Optimal transport by quantum channels: non-quadratic problems, metric properties, and isometries
11:15-11:30
Break
11:30-12:20
Dima Shlyakhtenko (Institute for Pure and Applied Mathematics)
Transport in free probability theory

Afternoon Session

12:30-14:30
Lunch (on your own)
Session Chair: Oliver Tse (Eindhoven University of Technology)
14:30-15:20
Di Fang (Duke University)
How Mathematical Analysis can help better understand quantum algorithms
15:30-16:00
Break
16:00-16:50
Roy Araiza (University of Illinois at Urbana-Champaign)
Lipschitz Cost of Quantum Channels on von Neumann Algebras
17:00-17:15
Lightning Poster Round
17:00-18:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, April 29, 2025

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
Session Chair: Jean-Claude Zambrini (University of Lisbon)
09:00-09:50
Rocco Duvenhage (University of Pretoria)
Quadratic Wasserstein distance between quantum dynamical systems
10:00-10:15
Break
10:15-11:05
Melchior Wirth (Institute of Science and Technology Austria (IST Austria))
Completely positive maps and the V-transform
11:15-11:30
Break
11:30-12:20
Katy Craig (University of California, Santa Barbara (UCSB))
Vector Valued Optimal Transport: From Dynamic to Kantorovich Formulations

Afternoon Session

12:30-14:30
Lunch (on your own)
Session Chair: Katy Craig (University of California, Santa Barbara (UCSB))
14:30-15:20
Franca Hoffmann (California Institute of Technology)
Covariance-Modulated Optimal Transport Geometry
15:30-16:00
Break
16:00-16:50
Andrew Jordan (Chapman University)
Continuous quantum measurements : The most likely path with pre- and post-selection

Wednesday, April 30, 2025

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
Session Chair: Roy Araiza (University of Illinois at Urbana-Champaign)
09:00-09:50
Jean-Claude Zambrini (University of Lisbon)
Integrability of Hamilton-Jacobi-Bellman equation. (J.C. Zambrini, with Qiao Huang)
10:00-10:15
Break
10:15-11:05
Francois Golse (École Polytechnique)
Wasserstein Distance and the Observability Problem in Quantum Mechanics
11:15-11:30
Break
11:30-12:20
David Andrew Jekel (University of Copenhagen)
Relating entropy and Wasserstein distance in free probability

Afternoon Session

12:20-12:30
Group Photo
12:30-14:30
Lunch (on your own)
Session Chair: Rocco Duvenhage (University of Pretoria)
14:30-15:20
Wilfrid Gangbo (University of California, Los Angeles (UCLA))
Viscosity solutions in non-commutative variables
15:30-16:00
Break
16:00-17:00
Core Working Group Presentations

Thursday, May 1, 2025

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
Session Chair: Dima Shlyakhtenko (University of California Los Angeles (UCLA))
09:00-09:50
Karol Zyczkowski (Jagiellonian University)
Transformations of classical and quantum states and discrete dynamics in the set of quantum measurements
10:00-10:15
Break
10:15-11:05
Dmitry Vorotnikov (University of Coimbra)
Matrix-valued problems reminiscent of optimal transport and their applications to PDEs
11:15-11:30
Break
11:30-12:20
Peixue Wu (Institute for Quantum Computing)
From non-commutative optimal transport to limitations of quantum simulations.

Afternoon Session

12:30-14:30
Lunch (on your own)
Session Chair: Marius Junge (University of Illinois at Urbana-Champaign)
14:30-15:20
Ralph Sabbagh (University of California, Irvine (UCI))
On the Weyl symbols of Gaussian semigroups
15:30-16:00
Break
16:00-17:00
Core Working Group Presentations

Friday, May 2, 2025

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
Session Chair: Eric Carlen (Rutgers University)
09:00-09:50
Marius Junge (University of Illinois at Urbana-Champaign)
Why Ricci curvature (almost) failed us in noncommutative dynamics.
10:00-10:15
Break
10:15-11:05
Haonan Zhang (University of South Carolina)
On the Ricci curvature lower bounds for quantum Markov semigroups
11:15-11:30
Break
11:30-12:20
Aaron Palmer (University of California, Los Angeles (UCLA))
Non-Commutative Optimal Control and Viscosity Solutions
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