| Date: | January 24, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan , TAMU |
| Title: | Operator systems and quantum graphs |
| Abstract: | The plan of this working seminar is to survey some of the existing literature on ``quantum graphs'' and their applications/uses in the mathematics of quantum information theory.
Some references:
Quantum relations – Nik Weaver, 2010 (arxiv:1005.0354)
Quantum graphs as quantum relations – Nik Weaver, 2015 (arxiv:1506.03892)
A “quantum” Ramsey theory for operator systems – Nik Weaver, 2016 (arxiv:1601.01259)
Zero-error communication via quantum channels, non-commutative graphs, and a quantum Lovasz theta function – Runyao Duan, Simone Severini, Andreas Winter, 2010 (arxiv:1002.2514)
No-signalling assisted zero-error capacity of quantum channels and an information-theoretic interpretation of the Lovasz number – Runyao Duan, Andreas Winter, 2015 (arxiv:1409.3426)
On zero-error communication via quantum channels in the presence of noiseless feedback – Runyao Duan, Simone Severini, Andreas Winter, 2016 (arxiv:1502.02987)
Complexity and capacity bounds for quantum channels – Rupert Levene, Vern Paulsen, and Ivan Todorov, 2017 (arxiv:1710.06456)
No quantum Brooks’ theorem – Steven Lu, 2014 – (arxiv:1411.7666)
On the noncommutative deformation of the operator graph corresponding to the Klein group – G.G. Amosov and I. Yu. Zhdanovskiy, 2017 (arxiv:1604.05387)
On construction of anticliques for non-commutative operator graphs – GG. Amosov and A.S. Mokeev, 2017 (arxiv:1709.08062)
|
|
| Date: | January 31, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Quantum relations and Operator Systems |
| Abstract: | We will continue our discussion of Quantum Relations (after Nik Weaver), quantum graphs, and operator systems. |
|
| Date: | February 7, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Quantum confusability graphs, quantum Lovasz theta function, and zero-error quantum capacity. |
|
| Date: | February 14, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Quantum confusability graphs, quantum Lovasz theta function, and zero-error quantum capacity, part II |
|
| Date: | February 28, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Quantum relations vs quantum adjacency matrices |
|
| Date: | March 21, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Clebsch-Gordan Quantum Channels |
| Abstract: | I will describe some examples and properties of G-covariant quantum channels, where G is some compact (quantum) group. I will highlight how representation theory is a powerful tool to study properties of such channels and I will also highlight some open problems about these channels. Joint work with B. Collins, H.-H. Lee, and S. Youn. |
|
| Date: | April 4, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Introduction to rigid C*-tensor categories |
|
| Date: | April 11, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Introduction to rigid C*tensor categories, part 2 |
|
| Date: | April 18, 2019 |
| Time: | 11:00am |
| Location: | BLOC 11 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Rigid C*-tensor categories, part III |
|
| Date: | April 25, 2019 |
| Time: | 11:00am |
| Location: | BLOC 11 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Rigid C*-tensor categories, part IV |
|
| Date: | April 25, 2019 |
| Time: | 11:00am |
| Location: | BLOC 111 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Rigid C*-tensor categories, V |
|
| Date: | April 26, 2019 |
| Time: | 10:30am |
| Location: | BLOC 624 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Rigid C*-tensor categories, VI |
|
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