Strategic Code: A Unified Spatio-Temporal Framework for Quantum Error-Correction

Understand

Quantum error-correcting code (QECC) is the central ingredient in fault-tolerant quantum information processing.

• An emerging paradigm of dynamical QECC shows that one can robustly encode logical quantum information both temporally and spatially in a more resource-efficient manner than traditional QECCs.
• Nevertheless, an overarching theory of how dynamical QECCs achieve fault-tolerance is lacking.
• In this work, we bridge this gap by proposing a unified spatio-temporal QECC framework called the ``strategic code'' built around an ``interrogator'' device which sequentially measures and evolves the spatial QECC in an adaptive manner based on the ``quantum combs'' formalism, a generalization of the channel-state duality.