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Open Quantum Systems Decoherence Quantum Simulation

Quantum Optimal Transport: Quantum Channels and Qubits

arXiv
Authors: Giacomo De Palma, Dario Trevisan

Year

2023

Paper ID

56290

Status

Preprint

Abstract Read

~2 min

Abstract Words

80

Citations

N/A

Abstract

These notes are based on the lectures given by the second author at the School on Optimal Transport on Quantum Structures at Erdös 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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • These notes are based on the lectures given by the second author at the School on Optimal Transport on Quantum Structures at Erdös Center in September 2022.

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