Date of Award
8-2024
Document Type
Campus Access Thesis
Degree Name
Master of Science (MS)
Department
Physics, Applied
First Advisor
Akira Sone
Second Advisor
Maxim Olchanyi
Third Advisor
Olga Goulko
Abstract
We study the quantum Monge-Kantorovich problem defined by Friendland et al. [FEC22] by characterizing the extreme points of bipartite density operators with fixed marginals. Higher dimensional optimal transport plans are constructed using circulant states supported with numerical evidence. We provide quantum circuits for the approximation of the quantum Wasserstein distance between density operators prepared on a quantum computer and discuss applications to quantum heat pumps.
Recommended Citation
Holdsworth, Tharon Joseph, "On Fixed Marginal Quantum States in the Quantum Monge-Kantorovich Problem" (2024). Graduate Masters Theses. 856.
https://scholarworks.umb.edu/masters_theses/856
Comments
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