Unified quantum metric

Paolo Gibilisco, Davide Girolami, Frank Hansen

Local quantum uncertainty and interferometric power were introduced by Girolami et al. as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the metric adjusted skew information defined by Hansen.

Ірина Блінова

Numerical Verification of the DDI Recognition Algorithm. This technical report confirms 95.4% accuracy in recovering the "Unified Code of Matter" from high-entropy quantum noise. Using KL-divergence as a metric, the simulation proves that a 1-bit phase trigger is sufficient for information resonance in the spatial metric.

Nik O. Gjonbalaj, Christian Kokail, Susanne F. Yelin +1 more

Developing measures of quantum ergodicity and chaos stands as a foundational task in the study of quantum many-body systems. In this work, we propose metrics for these effects based on Hamiltonian learning that unify multiple advantages of existing metrics. In particular, we show how ergodicity and chaos improve the robustness of Hamiltonian learning to small errors and furthermore demonstrate that this robustness can be used as a metric for such phenomena. We analytically and numerically show that our metrics not only distinguish between integrable and ergodic regimes in various spin chains but also quantify chaos and ergodicity, allowing us to locate regions of parameter space displaying maximal ergodicity and maximal sensitivity to local perturbations. Our approach not only provides conceptual ways to study quantum chaos and ergodicity but also presents viable experimental methods for quantum simulators.

Miyatake, Osamu

Carlo Rovelli C