22688 - SCTE Various - Quantum Lecture Insert v1 PRESS Alt

An Introduction to Quantum Computing

An Introduction to Quantum Computing ____________________________________________________________________________________

Quantum PCA (qPCA)

Potential exponential under assumptions

Principal-component analysis

Machine learning

Quantum SVM / QSVM

Potential advantage for some feature maps/data

Classification

Machine learning

Quantum Neural Networks (QNN)

Machine learning

Research-stage

AI/ML

Quantum Boltzmann Machines

Generative/learning models

Research-stage

AI/ML

Quantum Monte Carlo methods

Simulation/estimation

Often quadratic

Finance, physics

Hamiltonian Simulation

Major potential advantage

Simulate quantum dynamics

Chemistry, materials, physics

Trotter–Suzuki simulation

Efficient quantum simulation

Approximate time evolution

Chemistry/physics

Quantum Signal Processing (QSP)

Very powerful algorithmic primitive

Polynomial transformations

Simulation, linear algebra

Quantum Singular Value Transformation (QSVT)

Framework encompassing many algorithms

Matrix transformations

Linear algebra, simulation

Quantum Imaginary Time Evolution (QITE)

Potential simulation advantage

Ground-state preparation

Chemistry/materials

Quantum Approximate Counting

Estimate solution counts

Quadratic

Optimisation

Quantum Minimum Finding

Find minimum value

Quadratic

Optimisation

_______________________________________________________________________________________________ SCTE Technical Committee : Dave Hodges and Dr Anthony Basham. © 2026 Society for Broadband Professionals. All rights reserved Page 22

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