9 citations · 10 across the 5 of their papers we have counts for
5 papers
Introduction to Quantum Entanglement Geometry
Kazuki Ikeda
This article is an expository account aimed at viewing entanglement in finite-dimensional quantum many-body systems as a phenomenon of global geometry. While the mathematics of gen…
Quantum Entanglement Geometry on Severi-Brauer Schemes: Subsystem Reductions of Azumaya Algebras
Kazuki Ikeda
Quantum entanglement is a basic resource of quantum theory, but its usual definition assumes a fixed decomposition into subsystems. We develop an algebro--geometric framework to ad…
Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data
Kazuki Ikeda, Steven Rayan
Using the spinless Haldane model, we study the witness-filtered Berry curvature, quantum geometric tensor, and quantum Fisher information on the gapped strata of the parameter spac…
Quantum Entanglement as a Cohomological Obstruction
Kazuki Ikeda
We recast quantum entanglement as a cohomological obstruction to reconstructing a global quantum state from locally compatible information. We address this by considering presheaf…
Exceeding the maximum classical energy density in fully charged quantum batteries
Masahiro Hotta, Kazuki Ikeda
Quantum batteries are anticipated to achieve significant advancements in energy storage capacity. In classical batteries, the energy density at each subsystem reaches its maximum v…