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.
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3 Pith papers cite this work. Polarity classification is still indexing.
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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
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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.
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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.