Entanglement capabilities of the spin representation of (3+1)D-conformal transformations
Quantum Physics
2024-01-04 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Relying on a mathematical analogy of the pure states of the two-qubit system of quantum information theory with four-component spinors we introduce the concept of the intrinsic entanglement of spinors. To explore its physical sense we study the entanglement capabilities of the spin representation of (pseudo-) conformal transformations in (3+1)-dimensional Minkowski space-time. We find that only those tensor product structures can sensibly be introduced in spinor space for which a given spinor is not entangled.
Keywords
Cite
@article{arxiv.1102.2544,
title = {Entanglement capabilities of the spin representation of (3+1)D-conformal transformations},
author = {K. Scharnhorst},
journal= {arXiv preprint arXiv:1102.2544},
year = {2024}
}
Comments
15 pages LaTeX (v2: minor changes, headings introduced; v3: secs. 1, 5, 6 extended, references [2], [3], [10]-[17], [37], [38] added, final version to appear in Quant. Inf. Comput.)