On quantum versions of the classical Wasserstein distance

DOI10.1080/17442508.2016.1276914zbMath1395.81141OpenAlexW2623788483MaRDI QIDQ4584677

Julián Agredo, Franco Fagnola

Publication date: 4 September 2018

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2016.1276914

zbMATH Keywords

Wasserstein distancequantum probabilityqbit state

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Stochastic quantization (81S20)

Related Items

The Wasserstein distance of order 1 for quantum spin systems on infinite lattices ⋮ Wasserstein distance between noncommutative dynamical systems ⋮ On quantum optimal transport ⋮ A Perspective on Lindblad’s Non-Equilibrium Entropy ⋮ Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance ⋮ Monotonicity of a quantum 2-Wasserstein distance

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