Topological Dynamical Decoupling with Complete Pulse Error Cancellation

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.

Figures (5)

• Figure 1: Theoretical predictions (top) and measured results from IQM Garnet (bottom) of the $\vert 0 \rangle$-state population for several T$n$ sequences and CPMG with simultaneous deviations in both detuning and pulse area. The Rabi frequency is $\Omega =2\pi\times 25$ MHz and the pulse duration is 20 ns.
• Figure 2: Measured $\vert 0 \rangle$-state population for several T$n$ sequences on ibm_torino. Here, CPMGn denotes the sequence with the same number of pulses, but implemented without the phases for reference.
• Figure 3: Measured results on ibm_torino, comparing some of the most widely used types of DD sequences.
• Figure 4: Measured results on IQM Garnet, comparing some of the most widely used types of DD sequences.
• Figure 5: Measured results on ibm_torino and IQM Garnet of T10 robustness for different initial states.