10 papers
A sharp bound on spacetime distance from quantum entanglement
Zhi-Wei Wang, Arshid Shabir, Mir Faizal +1
Ryu-Takayanagi established how boundary entanglement encodes bulk area. We provide the metric counterpart: boundary mutual information imposes a rigorous lower bound on bulk geodes…
Lubkin-Page typicality bounds for Type~II von~Neumann factors
Zhi-Wei Wang, Samuel L. Braunstein
Typicality arguments for emergent spacetime rely on the Lubkin-Page bounds, which show that generic quantum states have vanishing correlations between subsystems. These bounds assu…
Hodge Topology of Semiclassical Transport: A Coordinate-Free Geometric Framework for the Anomalous Hall Effect and Non-Linear Berry Dipole
Zhi-Wei Wang, Samuel L. Braunstein
We establish a coordinate-free differential geometric framework for anomalous transport in topological bands using the Hodge-de Rham decomposition of the Brillouin zone. Standard f…
Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction confirmed in lattice gauge theory
Zhi-Wei Wang, Samuel L. Braunstein
Arguments for emergent spacetime require that quantum typicality, the generic absence of inter-subsystem correlations, persists on the physical Hilbert space of a gauge theory, whe…
Exact Geometric Typicality and Bipartite Entanglement from the Projected Central Limit Theorem on Hyperspheres
Zhi-Wei Wang, Pei-Wen Li, Samuel L. Braunstein
Starting from the exact Projected Central Limit Theorem on hyperspheres, we rederive the Beta distribution for subsystem occupation probabilities and Lubkin's purity formula from e…
Non-Perturbative Closed Form for the Typical Bipartite Mutual Information of Haar-Random States
Zhi-Wei Wang, Pei-Wen Li, Samuel L. Braunstein
The average bipartite quantum mutual information of Haar-random pure states can be expressed exactly through Page's formula in terms of digamma functions.…