Universality of entanglement in gluon dynamics

Entanglement of fundamental degrees of freedom in particle physics is generated ab initio in scattering processes. We find that in the case of a pure SU(N) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:mo stretchy="false" form="prefix">(</mml:mo> <mml:mi>N</mml:mi> <mml:mo stretchy="false" form="postfix">)</mml:mo> </mml:mrow> </mml:math> gauge theory, two gluons in a product state can become maximally entangled in their polarizations as the result of three- and four-gluon vertex interactions. Remarkably, the amount of entanglement among gluon polarizations is independent of the color degree of freedom. We also find that a small deviation of the relative weight between three- and four-gluon vertices would prevent the generation of maximal entanglement. This can be seen as a small piece of a possible it from qubit principle underlying fundamental interactions.