Quantum Optimal Transport: Quantum Channels and Qubits
- URL: http://arxiv.org/abs/2307.16268v1
- Date: Sun, 30 Jul 2023 16:21:37 GMT
- Title: Quantum Optimal Transport: Quantum Channels and Qubits
- Authors: Giacomo De Palma and Dario Trevisan
- Abstract summary: Notes are based on lectures given by the second author at the School on Optimal Transport on Quantum Structures in September 2022.
The focus of the exposition is on two recently introduced approaches on quantum optimal transport.
- Score: 13.452510519858995
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: These notes are based on the lectures given by the second author at the
School on Optimal Transport on Quantum Structures at Erd\"os Center in
September 2022. The focus of the exposition is on two recently introduced
approaches on quantum optimal transport: one based on quantum channels as
generalized transport plans, the other based on the notion of
Hamming-Wasserstein distance of order 1 on multiple-qubit systems. The material
is presented in an elementary manner with a focus on the finite-dimensional
setting.
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