The Quantum Wasserstein Semidistance Is Not a Distance
Statement
Friedland and coauthors proposed a quantum analogue of the -Wasserstein distance and conjectured that, though only a semidistance in general, it is a true distance for a particular quantum cost matrix and for cost matrices near it. The paper disproves both conjectures with an explicit family of triples of states violating the triangle inequality.
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No person has examined this. Nothing here has been checked at all. say whether it holds →
construction · #1
ChatGPT 5, with Tomasz MillerThe record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.
The acknowledgements state the counterexamples were found with the assistance of ChatGPT 5.
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