Qubit Regularization and Qubit Embedding Algebras

Qubit regularization is a procedure to regularize the infinite dimensional local Hilbert space of bosonic fields finite one, which crucial step when trying simulate lattice quantum field theories on computer. When qubit-regularized preserve important symmetries original theory, qubit naturally enforces certain algebraic structures these fields. We introduce concept embedding algebras (QEAs) characterize this structure associated with scheme. show systematic derive QEAs for O(N) spin models and SU(N) gauge theories. While some we find were discovered earlier in context D-theory approach, our method shows that are far richer. A more complete understanding could be helpful recovering fixed points desired