A note on distances between probabilistic and quantum distributions

DOI10.1016/j.entcs.2018.03.022OpenAlexW2800946211WikidataQ113317558 ScholiaQ113317558MaRDI QIDQ2130591

Bart Jacobs

Publication date: 25 April 2022

Full work available at URL: https://doi.org/10.1016/j.entcs.2018.03.022

zbMATH Keywords

probability distributionstrace distancetotal variation and Kantorovic distance

Mathematics Subject Classification ID

Semantics in the theory of computing (68Q55) Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) (68N30)

Uses Software

• EfProb

Cites Work

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• The expectation monad in quantum foundations
• Probabilities, distribution monads, and convex categories
• From probability monads to commutative effectuses
• Recursively defined metric spaces without contraction
• Behavioral Metrics via Functor Lifting
• New Directions in Categorical Logic, for Classical, Probabilistic and Quantum Logic
• Quantum Computing for Computer Scientists
• The EfProb Library for Probabilistic Calculations
• Abstract Hidden Markov Models: A Monadic Account of Quantitative Information Flow
• Quantitative Algebraic Reasoning
• On Choosing and Bounding Probability Metrics
• A Recipe for State-and-Effect Triangles
• Optimal Transport

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