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A General Dilation Framework for Non-Hermitian Dynamics Simulations

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Learn about a general dilation framework for embedding non-Hermitian dynamics within unitary dynamics in larger Hilbert spaces through this 48-minute conference presentation. Discover how exact dilation can be guaranteed using simple algebraic moment-matching conditions in the ancilla space, which generate multiple families of dilation methods. Explore a specific tight-binding model example with nearest neighbor hoppings and understand how to quantify dilation accuracy through light-cone conditions. Gain insights into advanced quantum simulation techniques for open quantum systems from this technical presentation delivered at IPAM's New Frontiers in Quantum Algorithms for Open Quantum Systems Workshop.

Syllabus

Xiantao Li - A general dilation framework for non-Hermitian dynamics simulations - IPAM at UCLA

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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