Petz recovery maps of single-qubit decoherence channels in an ion trap quantum processor
Phys. Rev. A 112, 022613 – Published 14 August, 2025
DOI: https://doi.org/10.1103/7f8x-n2np
Abstract
The Petz recovery map provides a near-optimal reversal of quantum noise, yet proposals for its implementation are only recent. We propose a physical realization of the exact state-specific Petz map in an ion trap for qubit decoherence channels. Our circuit constructions require at most ancilla qubits and cnot gates for channels with Kraus rank . We analyze typical ion trap errors and construct corresponding Petz maps, simulating their performance under realistic noise modeled by residual spin-motion coupling. Quantum circuits are provided for depolarizing, dephasing, and amplitude damping channels. Focusing on single-shot recovery, suited for present-day devices, we also quantify the precision of prior knowledge required to achieve a recovery error below 0.01 across varying decoherence levels and state purities.
