{
  "annotation_id": "d6aeef99-5132-4182-87ac-ea4208632991",
  "date_created": "2026-03-02T18:01:56.004000Z",
  "date_modified": "2026-03-02T18:01:56.004000Z",
  "file_hash": "43499af8417f194696e08ee33e926be0f71e4f2b6ef56a927ac9e2c5c6d86f09",
  "private": false,
  "record": {
    "abstract": "Quantum operations represented by completely positive maps encompass many of\nthe physical processes and have been very powerful in describing quantum\ncomputation and information processing tasks. We introduce the notion of\nrelative phase change for a quantum system undergoing quantum operation. We\nfind that the relative phase shift of a system not only depends on the state of\nthe system, but also depends on the initial state of the ancilla with which it\nmight have interacted in the past. The relative phase change during a sequence\nof quantum operations is shown to be non-additive in nature. This property can\nattribute a `memory\u0027 to a quantum channel. Also the notion of relative phase\nshift helps us to define what we call `in-phase quantum channels\u0027. We will\npresent the relative phase shift for a qubit undergoing depolarizing channel\nand complete randomization and discuss their implications.",
    "arxiv_id": "quant-ph/0301101",
    "authors": [
      "Arun K. Pati"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Relative phase change during quantum operation",
    "url": "https://arxiv.org/abs/quant-ph/0301101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b97abb83-53a6-436b-bcc6-41019d95e068",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}