435 citations · 1.2k across the 13 of their papers we have counts for
13 papers
Principles of Quantum Optimization for Constrained Problems
Einar Gabbassov, Gurpahul Singh, Achim Kempf
Constrained combinatorial optimization underlies many industrial and technological decision problems. We develop a spectral theory that unifies many quantum optimization algorithms…
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…
Separable ellipsoids around multipartite states
Robin Y. Wen, Gilles Parez, Liuke Lyu +2
We show that, in finite dimensions, around any -partite product state , there exists an ellipsoid of separable states centered around $ρ_{\…
Adiabatic Dynamics of Entanglement
Einar Gabbassov, Achim Kempf
We show that, during adiabatic evolution generated by a time-dependent Hamiltonian, any changes in entanglement can be attributed to a succession of avoided crossings in the Hamilt…
The Best Radar Ranging Pulse to Resolve Two Reflectors
Andrew N. Jordan, John C. Howell, Achim Kempf +2
Previous work established fundamental bounds on subwavelength resolution for the radar range resolution problem, called superradar [Phys. Rev. Appl. 20, 064046 (2023)]. In this wor…