Export citation

Export citation

Choose format for download:

Download Citation

    Exact quantum capacity of decohering channels in arbitrary dimensions

    Shayan Roofeh and Vahid Karimipour

    Phys. Rev. A 112, 052450 – Published 24 November, 2025

    DOI: https://doi.org/10.1103/s124-z299

    Abstract

    We derive exact analytical expressions for the quantum capacity of a broad subclass of generalized dephasing channels of the form Λ(ρ)=(1−x)ρ+xD(ρ), where D(ρ) represents a structured decoherence process. These channels are degradable for all noise parameters and in arbitrary dimensions, yielding closed-form single-letter capacity formulas. Our analysis includes fully decohering, block-decohering, and weakly decohering channels, the latter involving coherence preservation within overlapping subspaces. Surprisingly, even under maximal decoherence, the channel may retain nonzero capacity due to residual coherence structure. These results reveal a quantitative role for decoherence-free and partially coherent subspaces in preserving quantum information, offering guidance for encoding strategies in quantum memories and fault-tolerant quantum communication systems.

    Physics Subject Headings (PhySH)

    Authorization Required

    We need you to provide your credentials before accessing this content.

    References (Subscription Required)

    Outline

    Information

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation