Topological Dynamical Decoupling with Complete Pulse Error Cancellation
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Abstract
Systematic pulse errors remain a major obstacle to high-fidelity quantum control. We present a new family of dynamical decoupling sequences, denoted Tn, that achieve exact cancellation of pulse area errors to all orders by enforcing a simple topological phase condition. Unlike some conventional composite sequences, Tn requires no numerical optimization and admits closed-form analytic phases for arbitrary sequence length, while providing substantial robustness to detuning as well. We demonstrate these sequences on superconducting transmon qubits from both IBM Quantum processor ibm_torino and IQM Quantum processor Garnet, observing population plateaus in close agreement with theory. These results establish a new paradigm for hardware-efficient error suppression, broadly applicable across quantum computing, sensing, and memory platforms.