Geometric control of Bell correlations in path-entangled systems

We introduce pathangled quantum states, spatially correlated systems governed via production angles, to achieve geometric control of entanglement beyond spin/polarization constraints. By driving the system through cyclic adiabatic evolution of an external parameter in Mach-Zehnder interferometers, we demonstrate that Berry phases and production angles become additional degrees of freedom for Bell correlations. We identify an approximate critical angle $24.97^\circ$ that geometrically manifests the Bell-limit for certain measurement settings, delineating boundaries between local-hidden-variable theories and quantum mechanics. This framework simplifies state preparation while enabling geometry-driven entanglement control, thus providing distinct experimental advantages.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-12-09
DOI
https://doi.org/10.1103/bcsp-2w7b
Citations
1
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
2.48
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article

Geometric control of Bell correlations in path-entangled systems

Karl J. Friston
1 citations
Physical review. A/Physical review, A
Quantum Information and Cryptography
2.48
article

Geometric control of Bell correlations in path-entangled systems

Karl J. Friston
article en
1 citations

Abstract

We introduce pathangled quantum states, spatially correlated systems governed via production angles, to achieve geometric control of entanglement beyond spin/polarization constraints. By driving the system through cyclic adiabatic evolution of an external parameter in Mach-Zehnder interferometers, we demonstrate that Berry phases and production angles become additional degrees of freedom for Bell correlations. We identify an approximate critical angle $24.97^\circ$ that geometrically manifests the Bell-limit for certain measurement settings, delineating boundaries between local-hidden-variable theories and quantum mechanics. This framework simplifies state preparation while enabling geometry-driven entanglement control, thus providing distinct experimental advantages.

Physical review. A/Physical review, AVol. 112(6)
Ankara University (TR)
Openalex Percentile: Top 8%
Quantum Information and Cryptography
2.48
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