
Date Time 
Location  Speaker 
Title – click for abstract 

06/01 2:00pm 
BLOC 506A 
Michael Brannan TAMU 
Organizational Meeting and Introductory Lecture
This will be our first meeting. We will do a little organization and then I will start by reviewing some mathematical prerequisites (Hilbert spaces, linear operators, spectral theorem, quantum states and measurements). SOME REFERENCES: (1) Nielsen and Chuang: Quantum computation and quantum information. (2 ) M. Wilde: From classical to quantum Shannon theory. [Available at: https://arxiv.org/pdf/1106.1445.pdf] (3) J. Watrous: Lecture notes on QIT and QC. [Available at: https://cs.uwaterloo.ca/~watrous/LectureNotes.html] (4) C. Palazuelos: Introduction to QIT. [Available at: https://www.icmat.es/miembros/cpalazuelos/Introduction_to_QITFInal_versionII.pdf] 

06/06 2:00pm 
BLOC 506A 
Micheal Brannan TAMU 
States, density matrices, and quantum channels, part 1
We will continue our discussion of the four postulates of quantum mechanics over the next two lectures. Concepts to be discussed include: Composite systems and tensor products, entanglement, Bell states, random quantum states and the density operator formalism, indistinguishable states, the nocloning theorem, quantum teleportation, the Stinespring theorem and the structure of quantum channels. 

06/08 2:00pm 
BLOC 506A 
Michael Brannan TAMU 
States, density matrices, and quantum channels, part 2 

06/13 2:00pm 
BLOC 506A 
Michael Brannan TAMU 
States, density matrices, and quantum channels, part 3 

06/15 2:00pm 
BLOC 506A 
Igor Zelenko TAMU 
EinsteinPodolskyRosen (EPR) paradox and nonlocality in Quantum Mechanics
The aim of my series of two lectures is twofold: First, I would like to give more physical context to the mathematical formalism Michael Brannan presented in his first two lecture by reviewing the notions of wave functions and observables including momentum and some theory of angular momentum and spin.
Second, using some of this theory I will discuss the EinsteinPodolskyRosen (EPR) paradox on the model of the singlet of two spin 1/2 particles (Bohm's model) and Bells's proof that any local hidden variable theory is incompatible with quantum mechanics.
Hopefully, all this will give more insight on the role of entangled states , the essence of quantum teleportation, and physical interpretation of other protocols discussed in class. 

06/20 2:00pm 
BLOC 506A 
Igor Zelenko TAMU 
EinsteinPodolskyRosen (EPR) paradox and nonlocality in Quantum Mechanics, part 2 

06/22 2:00pm 
Bloc 506A 
Igor Zelenko TAMU 
EinsteinPodolskyRosen (EPR) paradox and nonlocality in Quantum Mechanics, part 3 

06/27 2:00pm 
BLOC 506A 
Paul Gustafson TAMU 
Quantum Nonlocality, Tsirelson's Theorem, and Grothendieck's Inequality
I'll be covering Chapter 5 of Palazuelos' Quantum Information Theory notes. We'll review Bell's inequality and reframe it in terms of the spaces of possible quantum and classical correlation matrices. We will prove Tsirelson's theorem, which gives a geometric interpretation of the space of quantum correlation matrices. Lastly, we will explain how Grothendieck's inequality implies that the $2 \sqrt{2}$ violation of Bell's inequality is close to optimal. 

06/29 2:00pm 
BLOC 506A 

