You are here

Analysis SeminarExport this event to calendar

Friday, October 6, 2017 — 3:30 PM EDT

Ping Zhong, Department of Pure Mathematics, University of Waterloo

"Estimates for compression norms and additivity violation in quantum information"

The free compression norm (or the (t)-norm) was introduced by Belinschi, Collins and Nechita as a tool to compute the typical location of the collection of singular values associated to a random subspace of the tensor product of two Hilbert spaces. In turn, it was used by them to obtain the limit of minimum output entropy of random quantum channels in the appropriate asymptotic regime. They also obtained sharp bounds for the violation of the additivity of the minimum output entropy for random quantum channels with Bell state as input state for the product of random quantum channels with the conjugate channels.
 
In this talk, I will discuss some free probability techniques involved in the study of (t)-norm and their applications to the additivity violations. In particular, I will discuss an estimation of (t)-norm and a conceptual proof of the additivity violations.  The talk is based on joint work with B. Collins and M. Fukuda.
 
MC 5417

S M T W T F S
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
1
2
3
4
  1. 2017 (234)
    1. October (22)
    2. September (16)
    3. August (3)
    4. July (17)
    5. June (26)
    6. May (27)
    7. April (14)
    8. March (38)
    9. February (42)
    10. January (29)
  2. 2016 (335)
    1. December (8)
    2. November (41)
    3. October (35)
    4. September (29)
    5. August (8)
    6. July (17)
    7. June (30)
    8. May (15)
    9. April (12)
    10. March (56)
    11. February (42)
    12. January (42)
  3. 2015 (209)
  4. 2014 (235)
  5. 2013 (251)
  6. 2012 (135)