Name: Mathematical Challenges in Quantum Mechanics - Online Seminars
Start: 2023-11-08T09:00:00+01:00
End: 2024-05-16T13:00:00+02:00
Location: Online

Monday, November 6, 2023
Tuesday, November 7, 2023
Wednesday, November 8, 2023

11:30 AM MCQM PhD Lecture: Angela Capel Cuevas
MCQM PhD Lecture: Angela Capel Cuevas
11:30 AM - 12:30 PM
Title: Quantum entropy and trace inequalities Abstract: In this talk, I will give an elementary introduction to the subject of quantum entropies and trace inequalities, with a special focus on results that are relevant to quantum information theory. First, we will discuss various different notions of quantum entropies that extend those of classical entropies, and we will show several of their fundamental properties, in particular under the application of quantum channels. We will put a special focus on those properties that differ from their classical counterparts. Next, we will describe some contexts within quantum Shannon theory in which the use of quantum entropies is fundamental, such as for quantum hypothesis testing or to estimate quantum channel capacities.

2:15 PM MCQM Seminar: Nilanjana Datta
MCQM Seminar: Nilanjana Datta
2:15 PM - 3:15 PM
Title: Universal proofs of entropic continuity bounds via majorization flow Abstract: We employ majorization theory to obtain a powerful tool for deriving simple and universal proofs of continuity bounds for various entropies which are relevant in information theory. In obtaining this, we first state a more general result which may be of independent interest: a necessary and sufficient condition under which a state maximizes a concave, continuous, Gateaux-differentiable function in an epsilon-ball in trace distance. Examples of such a function include the von Neumann entropy, Renyi entropies, and the conditional entropy. In particular, by introducing a notion of majorization flow, we prove that the alpha-Rényi entropy is Lipschitz continuous, for alpha greater than 1, thus resolving an open problem and providing a substantial improvement over previously known bounds. This is joint work with Eric Hanson.
Thursday, November 9, 2023
Friday, November 10, 2023
Saturday, November 11, 2023
Sunday, November 12, 2023

Monday, November 13, 2023
Tuesday, November 14, 2023
Wednesday, November 15, 2023
Thursday, November 16, 2023
Friday, November 17, 2023
Saturday, November 18, 2023
Sunday, November 19, 2023

Monday, November 20, 2023
Tuesday, November 21, 2023
Wednesday, November 22, 2023
Thursday, November 23, 2023
Friday, November 24, 2023
Saturday, November 25, 2023
Sunday, November 26, 2023

Monday, November 27, 2023
Tuesday, November 28, 2023
Wednesday, November 29, 2023
Thursday, November 30, 2023
Friday, December 1, 2023
Saturday, December 2, 2023
Sunday, December 3, 2023

Monday, December 4, 2023
Tuesday, December 5, 2023
Wednesday, December 6, 2023
Thursday, December 7, 2023
Friday, December 8, 2023
Saturday, December 9, 2023
Sunday, December 10, 2023

Monday, December 11, 2023
Tuesday, December 12, 2023
Wednesday, December 13, 2023
Thursday, December 14, 2023
Friday, December 15, 2023
Saturday, December 16, 2023
Sunday, December 17, 2023

Monday, December 18, 2023
Tuesday, December 19, 2023
Wednesday, December 20, 2023
Thursday, December 21, 2023
Friday, December 22, 2023
Saturday, December 23, 2023
Sunday, December 24, 2023

Monday, December 25, 2023
Tuesday, December 26, 2023
Wednesday, December 27, 2023
Thursday, December 28, 2023
Friday, December 29, 2023
Saturday, December 30, 2023
Sunday, December 31, 2023

Monday, January 1, 2024
Tuesday, January 2, 2024
Wednesday, January 3, 2024
Thursday, January 4, 2024
Friday, January 5, 2024
Saturday, January 6, 2024
Sunday, January 7, 2024

Monday, January 8, 2024
Tuesday, January 9, 2024
Wednesday, January 10, 2024
Thursday, January 11, 2024
Friday, January 12, 2024
Saturday, January 13, 2024
Sunday, January 14, 2024

Monday, January 15, 2024
Tuesday, January 16, 2024
Wednesday, January 17, 2024
Thursday, January 18, 2024
Friday, January 19, 2024
Saturday, January 20, 2024
Sunday, January 21, 2024

Monday, January 22, 2024
Tuesday, January 23, 2024
Wednesday, January 24, 2024
Thursday, January 25, 2024
Friday, January 26, 2024
Saturday, January 27, 2024
Sunday, January 28, 2024

Monday, January 29, 2024
Tuesday, January 30, 2024
Wednesday, January 31, 2024
Thursday, February 1, 2024
Friday, February 2, 2024
Saturday, February 3, 2024
Sunday, February 4, 2024

Monday, February 5, 2024
Tuesday, February 6, 2024
Wednesday, February 7, 2024
Thursday, February 8, 2024
Friday, February 9, 2024
Saturday, February 10, 2024
Sunday, February 11, 2024

Monday, February 12, 2024
Tuesday, February 13, 2024
Wednesday, February 14, 2024
Thursday, February 15, 2024
Friday, February 16, 2024
Saturday, February 17, 2024
Sunday, February 18, 2024

Monday, February 19, 2024
Tuesday, February 20, 2024
Wednesday, February 21, 2024
Thursday, February 22, 2024
Friday, February 23, 2024
Saturday, February 24, 2024
Sunday, February 25, 2024

Monday, February 26, 2024
Tuesday, February 27, 2024
Wednesday, February 28, 2024
Thursday, February 29, 2024
Friday, March 1, 2024
Saturday, March 2, 2024
Sunday, March 3, 2024

Monday, March 4, 2024
Tuesday, March 5, 2024
Wednesday, March 6, 2024
Thursday, March 7, 2024
Friday, March 8, 2024
Saturday, March 9, 2024
Sunday, March 10, 2024

Monday, March 11, 2024
Tuesday, March 12, 2024
Wednesday, March 13, 2024
Thursday, March 14, 2024
Friday, March 15, 2024
Saturday, March 16, 2024
Sunday, March 17, 2024

Monday, March 18, 2024
Tuesday, March 19, 2024
Wednesday, March 20, 2024
Thursday, March 21, 2024
Friday, March 22, 2024
Saturday, March 23, 2024
Sunday, March 24, 2024

Monday, March 25, 2024
Tuesday, March 26, 2024
Wednesday, March 27, 2024
Thursday, March 28, 2024
Friday, March 29, 2024
Saturday, March 30, 2024
Sunday, March 31, 2024

Monday, April 1, 2024
Tuesday, April 2, 2024
Wednesday, April 3, 2024
Thursday, April 4, 2024
Friday, April 5, 2024
Saturday, April 6, 2024
Sunday, April 7, 2024

Monday, April 8, 2024
Tuesday, April 9, 2024
Wednesday, April 10, 2024
Thursday, April 11, 2024
Friday, April 12, 2024
Saturday, April 13, 2024
Sunday, April 14, 2024

Monday, April 15, 2024
Tuesday, April 16, 2024
Wednesday, April 17, 2024
Thursday, April 18, 2024
Friday, April 19, 2024
Saturday, April 20, 2024
Sunday, April 21, 2024

Monday, April 22, 2024
Tuesday, April 23, 2024
Wednesday, April 24, 2024
Thursday, April 25, 2024
Friday, April 26, 2024
Saturday, April 27, 2024
Sunday, April 28, 2024

Monday, April 29, 2024
Tuesday, April 30, 2024
Wednesday, May 1, 2024
Thursday, May 2, 2024
Friday, May 3, 2024
Saturday, May 4, 2024
Sunday, May 5, 2024

Monday, May 6, 2024
Tuesday, May 7, 2024
Wednesday, May 8, 2024
Thursday, May 9, 2024
Friday, May 10, 2024
Saturday, May 11, 2024
Sunday, May 12, 2024

Monday, May 13, 2024
Tuesday, May 14, 2024
Wednesday, May 15, 2024
Thursday, May 16, 2024