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.

Comments

Free and open access to this Campus Access Thesis is made available to the UMass Boston community by ScholarWorks at UMass Boston. Those not on campus and those without a UMass Boston campus username and password may gain access to this thesis through resources like Proquest Dissertations & Theses Global (https://www.proquest.com/) or through Interlibrary Loan. If you have a UMass Boston campus username and password and would like to download this work from off-campus, click on the "Off-Campus UMass Boston Users

Download

Available for download on Wednesday, September 30, 2026

Off-Campus UMass Boston Users

Share

COinS