This webpage is still under construction. It might always be under construction.
Hopefully we will cover the following topics this semester.
Fundamentals: quantum states and measurement.
CHSH game and Bell inequality.
Teleportation and super dense coding.
Shor's algorithm (Quantum Fourier Transform).
Quantum channels.
Entropy.
PPT conjecture.
Quantum error correction*. (Haojian will give two talks for the algebra/coding seminar from 3 to 4pm, Oct 19 and 26. For details about the algebra/coding seminar, please contact Daniel Bossaller: daniel_bossaller@baylor.edu. )
Some useful references:
From classical to quantum Shannon theory, Mark Wilde. https://arxiv.org/abs/1106.1445.
Shor's original paper: Algorithms for quantum computation: discrete logarithms and factoring, 1994.
Classical and quantum computation, https://bookstore.ams.org/gsm-47?_ga=2.205586771.1149933001.1631547836-342013985.1631547836.
On PPT square conjecture, Wladyslaw Adam Majewski, https://arxiv.org/abs/2108.01588.
Speakers:
We have assigned the topics to "voluntary" speakers. We are still open and always open to have more speakers! Please contact the organizers if you want to give a talk!
Sept 14: Haojian Li
Sept 21: Colin Burdine and Haojian Li
Sept 28: Colin Burdine and Haojian Li
Oct 5: John Joseph Marchetta
Oct 12: Cancelled
Oct 19: Haojian Li
Oct 26:
Nov 2:
Calendar:
Sept 14: The first meeting is a semi-organizational meeting. Haojian will briefly introduce the fundamentals. Hopefully, we will have some voluntary speakers.
Brief summary: axioms of closed quantum systems: states, observables, and measurement.
Sept 21: Colin Burdine and Haojian Li.
Colin will tell us about teleportation.
Haojian will finish axioms of closed quantum systems: evolution and composite systems. Introduce density operators and Schmidt decomposition. (https://drive.google.com/file/d/15TMn7Qo0g1KoE_qDBanga6QUqnsrf9wY/view?usp=sharing)
Sept 28: Colin Burdine and Haojian Li.
Oct 5: Cancelled.
Oct 12: John will talk about the representation of the quantum channels.
Oct 19: Haojian will talk about the quantum query algorithms.
Link to the paper: https://arxiv.org/abs/quant-ph/9802049.
Slides (incomplete): https://drive.google.com/file/d/1fa6gdNEQJGg5apZMsuGAEOoW3SoKnr1U/view?usp=sharing
Oct 26:
Nov 2:
Nov 9:
Nov16:
Nov 23: Thanksgiving break.
Nov 30:
Dec 7:
Dec 14: Last seminar for Fall 2021.
Some useful links:
Beyond IID in information theory 09,http://cc.ee.ntu.edu.tw/~beyondiid9/.