The optimal transport problem, established by Monge and refined by Kantorovich and Wasserstein, has ubiquitous applications in statistics, machine learning, computer vision and early Universe reconstruction. Recently, several approaches towards its quantum version have been developed. In the talk I will provide an overview of the quantum optimal transport problem. The general results will be illustrated with a more detailed study of the single-qubit transport problem. In particular, I will show that the quantum optimal transport induces a new metric on the Bloch ball with intriguing properties.
Zoom meeting details
Topic: Quantum Information and Quantum Computing Working Group
Time: July 8, 2021, 3:15 PM Warsaw
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Meeting ID: 96294497969
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