Lattice surgery is reformulated as colimits in chain complexes and Hopf algebra (co)multiplication, enabling automated low-overhead logical measurements on quantum LDPC codes and an algebraic theory of boundaries in quantum double models.
(3) Next, if we have a quasi-Hopf algebra then S is antimultiplicative and hence θ =∗S defines an antimultiplicative antilinear map∗
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Homology, Hopf Algebras and Quantum Code Surgery
Lattice surgery is reformulated as colimits in chain complexes and Hopf algebra (co)multiplication, enabling automated low-overhead logical measurements on quantum LDPC codes and an algebraic theory of boundaries in quantum double models.