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Abstract: In this (whiteboard) talk I will provide a basic introduction to quantum simulation. I will begin by providing a high level overview of the Hamiltonian simulation problem and show how quantum computers can solve them without running into sign problems which plague many quantum Monte-Carlo applications. I will further discuss what we know about quantum simulation and provide some background on the three dominant paradigms used in quantum simulation today: Trotter-Suzuki, Linear Combinations of Unitaries and Qubitization/Quantum Walks. After this I will focus on one of them: Trotter-Suzuki methods and show explicitly how fermionic simulations can be performed on quantum computers without a sign problem using this approach. Limited familiarity with quantum computing will be assumed and the lecture is intended to be highly interactive (so actual content may vary slightly based on attendee feedback).