Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction

B Amghar, M Yachi, M Amghar, M Almousa, A A Abd El-Latif, A Slaoui · 2025

Read Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction by B Amghar, M Yachi, M Amghar, M Almousa, A A Abd El-Latif, A Slaoui (2025) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/pmc-12823585.txt.

Description

Amghar and five co-authors map the geometry of a set of entangled quantum spins, in a 2025 paper. The system holds any number of spin-half particles, each interacting with all the others through an Ising-type coupling. Using a standard distance measure for quantum states, the team derives the shape of the space of states the system can occupy. It turns out to be a smooth, closed two-dimensional surface with a dumbbell-like form.

Curvature of that surface limits how fast the system can evolve and how far states can separate. The authors then study the fastest possible evolution, the quantum brachistochrone problem, inside this geometric picture. Such speed limits matter for designing quantum devices that must act before noise spoils them.

Catalog record

CREATORB Amghar, M Yachi, M Amghar, M Almousa, A A Abd El-Latif, A Slaoui
YEAR2025
COLLECTIONPAPERS
FORMATTXT
FILE SIZE61 KB
VERSION1.0
LICENSECC BY 4.0
RIGHTSCC BY
SOURCEEurope PMC

Source: https://europepmc.org/articles/PMC12823585

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