Quantum Computing Course

First offered in Fall 2023, U of Tennessee at Chattanooga

Video lecture

https://youtube.com/playlist?list=PLo62Vf9IYqhosCIlWLtV15hb3rUUwAcpX&feature=shared

IBM Quantum Learning

https://learning.quantum-computing.ibm.com/

IBM Quantum Composer

https://learning.quantum-computing.ibm.com/tutorial/composer-user-guide

IBM Quantum Lab

https://lab.quantum-computing.ibm.com/user/5f848abaff5562001ae12c12/lab

IBM Quantum Platform

https://quantum-computing.ibm.com/

IBM Quantum Courses

1. Basics of Quantum Information

Single systems, multiple systems, quantuam circuits, entanglement.

2. Quantum Circuits through IBM Quantum Composer

3. Fundamentals of Quantum Algorithms

Deutsch's Algorithm, IBM tutorial

• https://learning.quantum-computing.ibm.com/course/fundamentals-of-quantum-algorithms/quantum-query-algorithms#deutschs-algorithmLinks to an external site.

• https://github.com/hongqin/quantum_sandbox/blob/main/deutsch_algorith.ipynbLinks to an external site.

Deutsch Jozsa problem

• https://learning.quantum-computing.ibm.com/course/fundamentals-of-quantum-algorithms/quantum-query-algorithms#the-deutsch-jozsa-algorithm

Grover's algorithm

• A simple tutorial runs in IBM Quantum Lab, https://github.com/hongqin/quantum_sandbox/blob/main/Simple_Grover_demo.ipynb

• Original repo of the above tutorial https://github.com/primaryobjects/oracle

• A math version, chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://ocw.mit.edu/courses/18-435j-quantum-computation-fall-2003/88bfbfb6232fd0efd0c307d07ce96cc7_qc_lec11.pdf

• https://learn.qiskit.org/course/ch-algorithms/grovers-algorithm

• https://learning.quantum-computing.ibm.com/course/fundamentals-of-quantum-algorithms/grovers-algorithm

• terrible video https://www.google.com/search?sca_esv=573990738&sxsrf=AM9HkKn5xNhcSQRwM-1PHANxzKPboR16sQ:1697513905563&q=grover%27s+algorithm&tbm=vid&source=lnms&sa=X&ved=2ahUKEwi7nd6KlPyBAxW_g4kEHZt_DI8Q0pQJegQICxAB&biw=1753&bih=840&dpr=2#fpstate=ive&vld=cid:1b17b7bb,vid:IT-O-KSWlaE,st:0

Shor's algorithm

• Example of 15. https://github.com/hongqin/quantum_sandbox/blob/main/Shor.ipynb
• Good example of factoring 314191 https://youtu.be/FRZQ-efABeQ?feature=shared
• Quantum Fourier Transformation

Selected papers for reading

Quantum gene regulatory networks https://www.nature.com/articles/s41534-023-00740-6

Equivariant quantum circuits for learning on weighted graphs https://www.nature.com/articles/s41534-023-00710-y

A machine learning approach to Bayesian parameter estimation https://www.nature.com/articles/s41534-021-00497-w

Α Quantum Pattern Recognition Method for Improving Pairwise Sequence Alignment https://www.nature.com/articles/s41598-019-43697-3#:~:text=The%20alignment%20process%20rearranges%20sequences,to%20achieve%20the%20optimal%20matching.

A biological sequence comparison algorithm using quantum computers https://www.nature.com/articles/s41598-023-41086-5

Quantum Finite Automa Introduction: https://arxiv.org/abs/1406.4048

A Quantum Finite Automata Approach to Modeling the Chemical Reactions https://www.frontiersin.org/articles/10.3389/fphy.2020.547370/full

Quantum machine learning and case studies https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9955545/

Cross-Layer Device Authentication With Quantum Encryption for 5G Enabled IIoT in Industry 4.0 https://ieeexplore.ieee.org/abstract/document/9625846?casa_token=UEiNy5BRg6IAAAAA:urcSV9-Ynn_mMn_2Y7NtP_7ux1U2_MiWsQJcSd8AoMYy3CdYCeb0tvcli85Ob4qoU1Qjn9Io9w

Taking advantage of noise in quantum reservoir computing https://www.nature.com/articles/s41598-023-35461-5

Efficient noise mitigation technique for quantum computing https://www.nature.com/articles/s41598-023-30510-5

References

• https://ocw.mit.edu/courses/18-435j-quantum-computation-fall-2003/download/