2 papers
hep-th2026
Wasserstein Space of Quantum Chaos
Koji Hashimoto, Norihiro Tanahashi, Kentaroh Yoshida
We find that the effective dimension of the Wasserstein space of energy eigenstates decreases as a quantum system becomes more chaotic. To demonstrate this, we study a quantum coup…
hep-th2026
Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
Koji Hashimoto, Norihiro Tanahashi
Optimal transport and Wasserstein distance are prominent tools to quantify the space of probability distributions. From a novel viewpoint of manifold hypothesis in machine learning…