{
  "annotation_id": "d3380f09-3bc4-4dcb-88d6-3c7c95df1073",
  "date_created": "2026-03-02T18:02:27.399000Z",
  "date_modified": "2026-03-02T18:02:27.399000Z",
  "file_hash": "a98400649490f6b52a69521c82e4c53fd0edd838960b17a747422f204894a1cf",
  "private": false,
  "record": {
    "abstract": "Geometric phases have been used in NMR, to implement controlled phase shift\ngates for quantum information processing, only in weakly coupled systems in\nwhich the individual spins can be identified as qubits. In this work, we\nimplement controlled phase shift gates in strongly coupled systems, by using\nnon-adiabatic geometric phases, obtained by evolving the magnetization of\nfictitious spin-1/2 subspaces, over a closed loop on the Bloch sphere. The\ndynamical phase accumulated during the evolution of the subspaces, is refocused\nby a spin echo pulse sequence and by setting the delay of transition selective\npulses such that the evolution under the homonuclear coupling makes a complete\n$2\\pi$ rotation. A detailed theoretical explanation of non-adiabatic geometric\nphases in NMR is given, by using single transition operators. Controlled phase\nshift gates, two qubit Deutsch-Jozsa algorithm and parity algorithm in a\nqubit-qutrit system have been implemented in various strongly dipolar coupled\nsystems obtained by orienting the molecules in liquid crystal media.",
    "arxiv_id": "quant-ph/0607007",
    "authors": [
      "T. Gopinath",
      "Anil Kumar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.022326",
    "journal_ref": "Phys. Rev. A 73, 022326 (2006)",
    "title": "Geometric quantum computation using fictitious spin- 1/2 subspaces of   strongly dipolar coupled nuclear spins",
    "url": "https://arxiv.org/abs/quant-ph/0607007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b50045b6-c640-4df9-bc82-fb32617b50e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}