The conjecture that breaking all non-trivial graph automorphisms suffices for universality in globally controlled qubit systems is disproved by connected graphs with trivial automorphism groups whose generated Lie algebras are nonetheless non-universal.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
DMRG calculations of a dual-species Rydberg atom ladder reveal Z2, Z3, Z4 ordered phases, floating phases, a smooth Z2 crossover, and a multi-critical point where Ising, chiral, and first-order lines meet.
A dual-species Rydberg atom array on a Kagome lattice can be driven into a quantum spin liquid state with topological order using a controlled sweep-quench-sweep protocol.
citing papers explorer
-
Obstructions to universality in globally controlled qubit graphs
The conjecture that breaking all non-trivial graph automorphisms suffices for universality in globally controlled qubit systems is disproved by connected graphs with trivial automorphism groups whose generated Lie algebras are nonetheless non-universal.
-
Phase diagram of a dual-species Rydberg atom ladder
DMRG calculations of a dual-species Rydberg atom ladder reveal Z2, Z3, Z4 ordered phases, floating phases, a smooth Z2 crossover, and a multi-critical point where Ising, chiral, and first-order lines meet.
-
Quantum Spin Liquid State of a Dual-Species Atomic Array on Kagome Lattice
A dual-species Rydberg atom array on a Kagome lattice can be driven into a quantum spin liquid state with topological order using a controlled sweep-quench-sweep protocol.