Ancilla mediated higher entanglement as T-duality, a categorial conjecture

TL;DR

This paper proposes a higher categorical framework linking entanglement, gauge theories, and T-duality, suggesting new dualities in physical models through analogies with quantum circuits.

Contribution

It introduces a novel higher categorial interpretation of entanglement that connects gauge theories and T-duality, offering a new perspective on dualities in physics.

Findings

T-duality can be viewed as ancilla-mediated entanglement.

Higher categorial structures unify gauge theories and entanglement.

Potential for discovering new dualities via quantum circuit analogies.

Abstract

Using a higher categorial interpretation of entanglement involving gauge theories and $\sigma$-models instead of qubits, one recovers T-duality as a form of ancilla aided entanglement generation. This opens the way towards new dualities in gauge theories and $\sigma$-models produced by means of analogies with quantum circuits of various types.