R.I.P.
π»
Ghosted
Quantum optimal transport is cheaper
August 01, 2019 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
François Golse, Emanuele Caglioti, Thierry Paul
arXiv ID
1908.01829
Category
math.AP
Cross-listed
cs.IT,
math-ph,
math.PR
Citations
42
Venue
arXiv.org
Last Checked
3 months ago
Abstract
We compare bipartite (Euclidean) matching problems in classical and quantum mechanics. The quantum case is treated in terms of a quantum version of the Wasserstein distance introduced in [F. Golse, C. Mouhot, T. Paul, Commun. Math. Phys. 343 (2016), 165-205]. We show that the optimal quantum cost can be cheaper than the classical one. We treat in detail the case of two particles: the equal mass case leads to equal quantum and classical costs. Moreover, we show examples with different masses for which the quantum cost is strictly cheaper than the classical cost.
Community Contributions
Found the code? Know the venue? Think something is wrong? Let us know!
π Similar Papers
In the same crypt β math.AP
R.I.P.
π»
Ghosted
Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data
R.I.P.
π»
Ghosted
Properly-weighted graph Laplacian for semi-supervised learning
R.I.P.
π»
Ghosted
Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
R.I.P.
π»
Ghosted
The limit shape of convex hull peeling
R.I.P.
π»
Ghosted
Some observations on high-dimensional partial differential equations with Barron data
Died the same way β π» Ghosted
R.I.P.
π»
Ghosted
Federated Learning: Strategies for Improving Communication Efficiency
R.I.P.
π»
Ghosted
In-Datacenter Performance Analysis of a Tensor Processing Unit
R.I.P.
π»
Ghosted
Deep Convolutional Neural Networks for Computer-Aided Detection: CNN Architectures, Dataset Characteristics and Transfer Learning
R.I.P.
π»
Ghosted