Emergent Discrete Time Crystals on Kagome Lattices of Heavy-Hex Quantum Processor

Discrete time crystals (DTCs) are nonequilibrium phases that break discrete time-translation symmetry in periodically driven systems where thermalization is suppressed by mechanisms such as many-body localization and prethermalization. We study relaxation dynamics in a kicked Ising model implemented on IBM Quantum Eagle and Heron processors. Using ancilla qubits to mediate interactions, we construct Kagome lattices from heavy-hex connectivity. Two distinct noise-induced DTCs emerge, both rooted in ancilla noise. Type-I DTCs arise from robust boundary-mode period-doubling oscillations stabilized by symmetry charge pumping, eventually redistributed into the bulk via ancilla noise. Type-II DTCs appear in lattices lacking charge-pumped qubits, where noise unexpectedly sustains oscillations that would otherwise decay. On the noisier Eagle device (ibm_kyiv), both DTC types manifest on 53-qubit Kagome lattices. On the lower-noise Heron device (ibm_marrakesh), oscillations remain boundary-localized on 82-qubit Kagome lattices. Noisy matrix-product-state simulations modeling ancilla noise as random sign flips in two-qubit gate rotations reproduce these trends, showing that ancilla noise can stabilize novel dynamical phases including boundary-protected and noise-induced DTCs.