6 papers
Gaussian Purification Quotients and Fixed Nielsen Penalties
Christian Kerskens
Information distance and circuit complexity are both obtained by minimizing lengths, but they minimize over different objects. We make this distinction explicit for faithful one-mo…
The Global Geometry of the Gaussian Bures Manifold: Admissible Domain, Spectral Boundary, and Asymptotic Classicality
Christian Kerskens
We construct the covariance-sector Bures geometry of centered bosonic Gaussian states from the Gaussian symmetric-logarithmic-derivative equation and determine its quantum-admissib…
Hamiltonian Lift of Bures--Wasserstein Covariance Dynamics with a Spectral Floor
Christian Kerskens
Covariance dynamics on the positive-definite cone are commonly described by gradient flows, which encode dissipative relaxation but obscure the underlying phase-space structure. We…
The Killing Form and Petz Uniqueness of Gaussian Bures Geometry
Christian Kerskens
For centered bosonic Gaussian states, the covariance pullback of the Bures cometric differs from the lift-normalized classical covariance Fisher--Rao cometric by a state-independen…
A Thermodynamic SU(1,1) Witness Framework for Double-Quantum NMR Signals in Neural Tissue
Christian Kerskens
Entanglement criteria based on variances or Fisher information are well developed for compact collective spin algebras, but their extension to non-compact dynamical sectors is less…
Evidence for Bures--Wasserstein Boundary Dynamics in the Living Human Brain
Christian Kerskens
When substrate-constrained covariance flow on the Bures--Wasserstein manifold reaches the Williamson boundary, single-mode compression saturates and further admissible covariance e…