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Session 1 on Quantum Information Theory
Operator Algebras in Quantum Information
( 12 - 30 Aug 2013 )

Venue: IMS Auditorium

Organizing Committee · Visitors and Participants · Overview · Activities · Venue · Enquiries


This programme is meant as an indication of how the session may proceed. At any moment, however, the schedule can be changed by the discussion leaders. Participants may take part in one, two, or even three of the themes, which we shall denote by the acronyms
   ENTANGLEMENT
   OPERATOR SPACES
   CONES,
and descriptions of which can be found HERE. They are asked to make their choices on the first day after the kick-off addresses of two of the discussion leaders, Michael Wolf and Géza Giedke. They may change these in the course of the session.

 

Understanding and mastering quantum information is one of the great challenges of the present epoch. Much progress relies on the steady and stimulating exchange of ideas between mathematics, mathematical physics and theoretical physics, often in close contact to experimenters. In analysing quantum information as encoded in entangled states and its transport through quantum channels, ideas from operator algebras and operator spaces have already played a decisive role. It is to be expected that operator algebraic thinking will play an even more important role in attacking some of the main open problems. In this Session we discuss three such major problems of quantum information where progress is needed and operator algebras will undoubtedly play a large role. So, the mathematical "lingua franca" of this session will be the language of operator algebras. One of the open problems of 2008, the additivity of channel capacity has in the meantime been solved in the negative; other areas have moved to the foreground. With this in mind, we have chosen to focus on one old and two new areas:


1. Entanglement of multipartite and infinite systems;
    (ENTANGLEMENT)

2. Spaces of operators, not necessarily operator algebras;
    (OPERATOR SPACES)

3. Cones of positive maps on operator algebras.
    (POSITIVE CONES)



These three subjects are closely related and they will greatly profit from an event, where world experts have the opportunity to bring together their particular expertises in order to come to new insights.

 

Contributed notes from discussion :

Erling Størmer (zip), Reinhard Werner (zip), Seung-Hyeok Kye (zip)

 


Monday, 12 Aug 2013

10:00am - 10:55am

Registration & Coffee Break

10:55am - 11:00am

Opening Remarks
Chi Tat Chong, Institute for Mathematical Sciences

11:00am - 12:00nn

Kick-off address: Cones of positive maps on operator algebras

Michael Wolf, Technische Universität München, Germany

12:00nn - 02:30pm

--- Lunch ---

02:30pm - 03:30pm

Kick-off address: Entanglement of multipartite and infinite systems

Géza Giedke, Max-Planck-Institut für Quantenoptik, Germany

03:30pm - 04:00pm

--- Coffee Break ---

04:00pm - 04:30pm

Distribution of the participants over these two themes

Tuesday, 13 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 02:30pm

--- Lunch ---

02:30pm - 04:30pm

Meeting of the "ENTANGLEMENT" group

04:30pm - 05:00pm

--- Coffee Break ---

Wednesday, 14 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 02:30pm

--- Lunch ---

02:30pm - 04:30pm

Meeting of the "ENTANGLEMENT" group

04:30pm - 05:00pm

--- Coffee Break ---

Thursday, 15 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" and "ENTANGLEMENT" group

12:30pm - 02:30pm

--- Lunch ---

02:30pm - 03:30pm

Kick-off address: Spaces of operators, not necessarily operator algebras

Marius Junge, University of Illinois at Urbana-Champaign , USA

03:30pm - 04:00pm

--- Coffee Break ---

04:00pm - 04:30pm

Redistribution of the participants over the three themes

Friday, 16 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

Monday, 19 Aug 2013

10:00am - 11:00am

Registration for second week & Coffee Break

11:00am - 12:30pm

Report of team members on the first week

12:30pm - 02:30pm

--- Lunch ---

02:30pm - 03:30pm

2nd address: Cones of positive maps on operator algebras

Erling Størmer, University of Oslo, Norway

03:30pm - 04:00pm

--- Coffee Break ---

Tuesday, 20 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

Wednesday, 21 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

Thursday, 22 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

Friday, 23 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

Monday, 26 Aug 2013

10:00am - 11:00am

Registration for third week & Coffee Break

11:00am - 12:30pm

Report of team members on the second week

12:30pm - 02:30pm

--- Lunch Reception at IMS ---

02:30pm - 03:30pm

Meeting of the "CONES" , "ENTANGLEMENT" and "OPERATOR SPACES" groups

03:30pm - 04:00pm

--- Coffee Break ---

Tuesday, 27 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

02:00pm - 03:00pm

Entropic uncertainty in finite systems

Hans Maassen, Radboud University Nijmegen, Netherlands

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

Wednesday, 28 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

05:00pm - 09:30pm

--- Social Event: Board walk from Kent Ridge to Mount Faber ---

Dinner at Vivocity

Thursday, 29 Aug 2013

10:00am - 10:30am

Registration & Coffee Break

10:30am - 12:30pm

Meeting of the "CONES" group

12:30pm - 01:30pm

--- Lunch ---

01:30pm - 03:30pm

Meeting of the "ENTANGLEMENT" group

03:30pm - 05:30pm

Meeting of the "OPERATOR SPACES" group

06:30pm - 07:30pm

Public Lecture: Quantum Physics, Public and Private Information, and the Lost Literature of Antiquity

Charles Bennett, IBM, USA
Venue:LT33, Block S17, Level 2, Faculty of Science, NUS

Friday, 30 Aug 2013

09:30am - 10:00am

Registration & Coffee Break

10:00am - 12:00nn

Report on "CONES"

12:00nn - 01:00pm

--- Lunch ---

01:00pm - 03:00pm

Report on "ENTANGLEMENT"

03:00pm - 05:00pm

Report on "OPERATOR SPACES"

05:00pm - 05:30pm

Closure of Session 1


Organizing Committee · Visitors and Participants · Overview · Activities · Venue · Enquiries

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