2024 UTC Quantum Computing Workshop (Day 1): Mathematics Foundation and Quantum Mechanics

This workshop, titled “Quantum Computing and Its Applications in Machine Learning and Cybersecurity,” is copyrighted by the University of Tennessee at Chattanooga and sponsored by Harnessing the Data Revolution (HDR): Data Science Corps (DSC) (Award No: 1924278).

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Day 1: Foundations and Introduction to Quantum Computing
8:30 AM – 9:00 AM: Registration and Welcome Coffee

9:00 AM – 9:15 AM: Opening Remarks

Speaker: Dr. Reinhold Mann, Professor/Vice Chancellor for Research.

9:15 AM – 10:30 AM: Session 1 – Mathematical Foundations of Quantum Computing (I)

Speaker: Dr. Chris Cox, Professor/Head of Math
Topics: Complex Numbers (Complex Arithmetic, Polar Form, Exponential Form), Probability (Brief Overview of Definitions and Properties), Linear Algebra (Vectors & Matrices, Eigenvalues & Eigenvectors, Inner & Outer Products), Tensor.

10:30 AM – 10:45 AM: Coffee Break

10:45 AM – 12:00 PM: Session 2 – Mathematics Foundation for Quantum Computing (II)

Speaker: Dr. Chris Cox, Professor/Head of Math
Topics: Vector Spaces & Hilbert Spaces, Connecting Math to Quantum, Orthogonal & Orthonormal, Unitary Operators, Reversibility & Completeness, Matrix Representation of a Linear Operator, Projection Operators & Their Properties

12:00 PM – 1:00 PM: Lunch Break

1:00 PM – 2:30 PM: Session 3 – Quantum Mechanics for Computing

Speaker: Dr. Tian Li, Assistant Professor of Physics
Topics: Quantum States, Superposition, Entanglement, Measurement

2:30 PM – 2:45 PM: Coffee Break

2:45 PM – 4:00 PM: Session 4 – Introduction to Quantum Computers

Speaker: Dr. Tian Li, Assistant Professor of Physics
Topics: Qubits, Quantum Gates, Quantum Circuits, Hardware Overview

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