[
  {
    "id": "ARR-2026-7SWAJZ0X278GJ9NK-v1",
    "type": "article",
    "title": "Sharp entropy budgets for communication with unknown resets and optical loss",
    "author": [
      {
        "literal": "Lluis Eriksson"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2026,
          10,
          26
        ]
      ]
    },
    "publisher": "AIRR.SCIENCE",
    "archive": "AIRR.SCIENCE",
    "archive_location": "ARR-2026-7SWAJZ0X278GJ9NK",
    "version": "v1",
    "genre": "Research preprint",
    "URL": "https://airr.science/papers/ARR-2026-7SWAJZ0X278GJ9NK/versions/v1/",
    "note": "Research preprint; ARR-2026-7SWAJZ0X278GJ9NK v1. Not peer reviewed by AIRR. Working paper; not admitted to the AIRR accepted collection.",
    "abstract": "We study quantum reset channels with oscillator input energy E, unrestricted reset orientation and energy, and only a Renyi entropy budget B(E) on the reset state. For each fixed finite entropy order, we characterize when the flagged-erasure entanglement-assisted benchmark is recovered with uniform absolute error tending to zero: 2^B/E tends to zero below order one, B/log2(E+1) tends to zero at order one, and B tends to zero above order one. The sufficient conditions recover four communication benchmarks with one encoder and decoder for the entire fixed-noise compound class. For Shannon and fixed super-Shannon budgets we determine the full bounded entanglement-assisted minimax loss curves, uniformly in every finite budget. Known-noise and unknown-fixed-noise losses coincide asymptotically. We extend these curves to a quantum-limited attenuator in the transmitted branch, uniformly over transmissivities bounded away from zero, with one assisted code for unknown fixed attenuation and reset. Proofs combine spectral branch-information bounds, fixed finite compression, physical-energy type-subspace coding and an all-input converse. Finite-rank optical tests replace the pure-state test when transmission is mixed. Pointwise two-way recovery is treated separately using a cited distillation theorem. Parameters remain fixed throughout each code block, and the coding limit is taken at fixed E. No thermal-loss, arbitrary-variation or error-exponent theorem is asserted."
  }
]