Quantum error correction (QEC) and dynamical decoupling (DD) protect quantum information in complementary ways, but their combination requires careful co-design. This seminar presents a theoretical framework that identifies when a hybrid approach provides an advantage, together with two experiments on IBM transmon processors that validate the theory.

The theory derives closed-form expressions for the entanglement fidelities of competing protocols, along with a sharp criterion for hybrid advantage. The first experiment combines logical DD with an error-detecting code to produce entangled logical states with fidelities exceeding those of the corresponding unprotected physical states. The second implements a surface-code memory on heavy-hex hardware, where gap-aware DD yields basis-resolved improvements as the code is scaled from distance 3 to anisotropic distances (3,5) and (5,3).

Together, these results demonstrate that carefully integrating dynamical decoupling with quantum error correction can outperform either technique alone, providing new insights into the design of scalable fault-tolerant quantum computing systems.