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Pauli topological subsystem codes from Abelian anyon theories
Tyler D. Ellison, Yu-An Chen, Arpit Dua +3
We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories--this includes anyon theories with degenerate braiding relations an…
Error-correcting codes for fermionic quantum simulation
Yu-An Chen, Alexey V. Gorshkov, Yijia Xu
Utilizing the framework of lattice gauge theories in the context of Pauli stabilizer codes, we present methodologies for simulating fermions via qubit systems on a t…
Three-dimensional quantum cellular automata from chiral semion surface topological order and beyond
Wilbur Shirley, Yu-An Chen, Arpit Dua +3
We construct a novel three-dimensional quantum cellular automaton (QCA) based on a system with short-range entangled bulk and chiral semion boundary topological order. We argue tha…
Equivalence between fermion-to-qubit mappings in two spatial dimensions
Yu-An Chen, Yijia Xu
We argue that all locality-preserving mappings between fermionic observables and Pauli matrices on a two-dimensional lattice can be generated from the exact bosonization in Ref. [1…
Pauli stabilizer models of twisted quantum doubles
Tyler D. Ellison, Yu-An Chen, Arpit Dua +3
We construct a Pauli stabilizer model for every two-dimensional Abelian topological order that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four-dim…
Efficient Product Formulas for Commutators and Applications to Quantum Simulation
Yu-An Chen, Andrew M. Childs, Mohammad Hafezi +3
We construct product formulas for exponentials of commutators and explore their applications. First, we directly construct a third-order product formula with six exponentials by so…