From the 1 of 4 linked papers with an AI index.
4 papers
Principles of Quantum Optimization for Constrained Problems
Einar Gabbassov, Gurpahul Singh, Achim Kempf
The paper develops a spectral framework that links entanglement restructuring to computational slowdown in quantum algorithms for constrained combinatorial optimization, and shows…
Adiabatic Dynamics of Entanglement
Einar Gabbassov, Achim Kempf
We show that, during adiabatic evolution, any changes in entanglement can be attributed to a succession of avoided energy level crossings at which eigenvalues swap their eigenvecto…
The metric from energy-momentum non-conservation: Generalizing Noether and completing spectral geometry
Achim Kempf
We complete the program of spectral geometry, in the sense that we show that a manifold's shape, i.e., its metric, can be reconstructed from its resonant sound when tapped lightly,…
Reconstructing Superoscillations Buried Deeply in Noise
Derek D. White, Shunxing Zhang, Barbara Soda +4
We utilize a method using frequency combs to construct waves that feature superoscillations - local regions of the wave that exhibit a change in phase that the bandlimits of the wa…