Discrete translational invariance and an equidistant energy spectrum are necessary and sufficient for perfect chiral circulation in N-site quantum rings, from which a closed-form Hamiltonian follows.
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A quantum clock blueprint in dissipative spin chains achieves the optimal scaling at the precision-resolution bound with a robust repeated-operation protocol.
Constraint mismatch at the junction of two PXP chains creates a tunable kinematic barrier to quantum information flow and fragments the Hilbert space into disjoint sectors.
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Tunable information insulation induced by constraint mismatch
Constraint mismatch at the junction of two PXP chains creates a tunable kinematic barrier to quantum information flow and fragments the Hilbert space into disjoint sectors.