Qubit Construction in 6D SCFTs

TL;DR

This paper explores the construction of qubit-like states within 6D superconformal field theories, linking operator structures to spin chains and RG flows, with potential implications for quantum information in strongly coupled systems.

Contribution

It introduces a novel framework connecting 6D SCFT operators to spin chains and proposes a conjectural Hamiltonian for RG flow evolution, advancing understanding of quantum states in high-dimensional theories.

Findings

Identification of qubit-like states in 6D SCFTs

Proposal of a spin chain Hamiltonian for RG flows

Analysis of entanglement in operator states

Abstract

We consider a class of 6D superconformal field theories (SCFTs) which have a large $N$ limit and a semi-classical gravity dual description. Using the quiver-like structure of 6D SCFTs we study a subsector of operators protected from large operator mixing. These operators are characterized by degrees of freedom in a one-dimensional spin chain, and the associated states are generically highly entangled. This provides a concrete realization of qubit-like states in a strongly coupled quantum field theory. Renormalization group flows triggered by deformations of 6D UV fixed points translate to specific deformations of these one-dimensional spin chains. We also present a conjectural spin chain Hamiltonian which tracks the evolution of these states as a function of renormalization group flow, and study qubit manipulation in this setting. Similar considerations hold for theories without $AdS$ duals, such as 6D little string theories and 4D SCFTs obtained from compactification of the partial tensor branch theory on a $T^2$.