Research Paper#Quantum Information, Quantum Spacetime, Non-Commutative Geometry🔬 ResearchAnalyzed: Jan 3, 2026 08:40
Operator Entanglement from Non-Commutative Symmetries
Published:Dec 31, 2025 11:49
•1 min read
•ArXiv
Analysis
This paper explores how deforming symmetries, as seen in non-commutative quantum spacetime models, inherently leads to operator entanglement. It uses the Uq(su(2)) quantum group as a solvable example, demonstrating that the non-cocommutative coproduct generates nonlocal unitaries and quantifies their entanglement. The findings suggest a fundamental link between non-commutative symmetries and entanglement, with implications for quantum information and spacetime physics.
Key Takeaways
- •Hopf-algebra deformations of symmetries, as found in non-commutative models, inherently generate operator entanglement.
- •The Uq(su(2)) quantum group serves as a concrete, solvable example.
- •Non-cocommutative coproducts lead to nonlocal unitaries.
- •Entangling power is directly linked to operator entanglement in this context.
- •The findings suggest a fundamental connection between non-commutative symmetries and entanglement, with implications for quantum information and spacetime physics.
Reference
“The paper computes operator entanglement in closed form and shows that, for Haar-uniform product inputs, their entangling power is fully determined by the latter.”