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The Quantum Wasserstein Distance of Order 1 and Its Applications

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Watch this 56-minute conference talk where Milad Marvian from the University of New Mexico presents his research on quantum Wasserstein distance at IPAM's Optimal Transport for Density Operators workshop. Explore how classical Wasserstein distance can be generalized to quantum states, with the proposed distance recovering the Hamming distance for vectors of the canonical basis. Discover important applications including stronger continuity bounds for von Neumann entropy compared to trace distance, tighter limitations on variational quantum algorithms, and improved methods for quantum data learning. Recorded April 4, 2025 at UCLA's Institute for Pure & Applied Mathematics, this presentation offers valuable insights for researchers working in quantum information theory and optimal transport.

Syllabus

Milad Marvian - The Quantum Wasserstein Distance of Order 1 and Its Applications - IPAM at UCLA

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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