{
  "annotation_id": "a185c45e-f9cb-4018-a0ef-9b86bab19606",
  "date_created": "2026-03-02T18:02:13.074000Z",
  "date_modified": "2026-03-02T18:02:13.074000Z",
  "file_hash": "24300d7a4d7457f489b977dc6d8af570cc74f3470b0c94c71a899ed79e3f350b",
  "private": false,
  "record": {
    "abstract": "We present a general model for quantum channels with memory, and show that it\nis sufficiently general to encompass all causal automata: any quantum process\nin which outputs up to some time t do not depend on inputs at times t\u0027 \u003e t can\nbe decomposed into a concatenated memory channel. We then examine and present\ndifferent physical setups in which channels with memory may be operated for the\ntransfer of (private) classical and quantum information. These include setups\nin which either the receiver or a malicious third party have control of the\ninitializing memory. We introduce classical and quantum channel capacities for\nthese settings, and give several examples to show that they may or may not\ncoincide. Entropic upper bounds on the various channel capacities are given.\nFor forgetful quantum channels, in which the effect of the initializing memory\ndies out as time increases, coding theorems are presented to show that these\nbounds may be saturated. Forgetful quantum channels are shown to be open and\ndense in the set of quantum memory channels.",
    "arxiv_id": "quant-ph/0502106",
    "authors": [
      "Dennis Kretschmann",
      "Reinhard F. Werner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062323",
    "title": "Quantum Channels with Memory",
    "url": "https://arxiv.org/abs/quant-ph/0502106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2696cf82-1ff6-44dc-ba6c-200774fb33c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}