MULT90063 Introduction to Quantum Computing: Outline 2022
Week Lectures
Lab session
Introduction to quantum computing and maths basics – overview of quantum computing
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– complex numbers
Lab 1: Complex numbers And state representation
Quantum computing overview and basics – linear algebra and notation
– single qubits, operations, measurement
– Quantum User Interface (QUI) – single qubit states
– single qubit operations
Two qubits
– operations, measurement, entanglement – teleportation and dense coding
– two qubit gates, entanglement – teleportation
– dense coding
Assignment 1 posted on LMS
Simple algorithms
– Universality
– classical logic and reversible computation
– algorithms: Deutsch-Josza, Bernstein-Vazirani, 4:
– logical statements – adders
– simple algorithms
Quantum search
– Grover¡¯s algorithm
– amplitude amplification – quantum counting
– Grover¡¯s algorithm
– amplitude amplification
6 Quantum factorization
– Quantum Fourier Transform (QFT) – Shor¡¯s factoring algorithm
7 Quantum supremacy and errors – Boson Sampling
– Instantaneous Quantum Polynomial (IQP) circuits – quantum errors
– randomised benchmarking
9 Quantum error correction (QEC) – basic QEC codes
– topological QEC codes
12 -Moprteimaligzoartiothnmpsr,ohbalerdmwsarnedopvreorgvrieawmming – linear algebra and the HHL algorithm
– current status of QC hardware
– Shor¡¯s factoring algorithm Lab 7:
– quantum errors
– noisy circuits
– random circuits
Quantum error correction
– implementing HHL
Hand in assignment 1 (details TBA)
Programming real quantum computers
– introduction to the Quantum Experience
– introduction to QISKIT
– qubit connectivity, circuit compression techniques
IBM Quantum Experience
Assignment 2 posted on LMS
Adiabatic Quantum Computation (AQC) – mapping and solving QUBO problems – introduction to AQC
– AQC problem mapping – AQC simulation
Quantum heuristics/hybrid quantum algorithms – Variational Quantum Eigensolver (VQE)
– Quantum Approximate Optimisation Algorithm (QAOA)
– problem mapping
– VQE/QAOA examples
Hand in assignment 2 (details TBA)
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