{
  "id": "1404.6912",
  "version": "v2",
  "published": "2014-04-28T10:07:52.000Z",
  "updated": "2014-08-22T13:46:06.000Z",
  "title": "Quantum Error Correction with magnetic molecules",
  "authors": [
    "José J. Baldoví",
    "Salvador Cardona-Serra",
    "Juan M. Clemente-Juan",
    "Luis Escalera-Moreno",
    "Alejandro Gaita-Ariño",
    "Guillermo Mínguez Espallargas"
  ],
  "comment": "5 pages, 3 figures, 2 tables",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Quantum algorithms often assume independent spin qubits to produce trivial $|\\uparrow\\rangle=|0\\rangle$, $|\\downarrow\\rangle=|1\\rangle$ mappings. This can be unrealistic in many solid-state implementations with sizeable magnetic interactions. Here we show that the lower part of the spectrum of a molecule containing three exchange-coupled metal ions with $S=1/2$ and $I=1/2$ is equivalent to nine electron-nuclear qubits. We derive the relation between spin states and qubit states in reasonable parameter ranges for the rare earth $^{159}$Tb$^{3+}$ and for the transition metal Cu$^{2+}$, and study the possibility to implement Shor's Quantum Error Correction code on such a molecule. We also discuss recently developed molecular systems that could be adequate from an experimental point of view.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-28T10:07:52.000Z",
      "abstract": "Quantum algorithms often assume independent spin qubits to produce trivial $|\\uparrow\\rangle=|0\\rangle$, $|\\downarrow\\rangle=|1\\rangle$ mappings. This can be unrealistic in many solid-state implementations with sizeable magnetic interactions. Here we show that the ground energy level structure of a molecule containing three exchange-coupled $^{159}$Tb$^{3+}$ ions is equivalent to nine electron-nuclear qubits. We derive the relation between spin states and qubit states for a reasonable parameter range, and study the possibility to implement Shor's Quantum Error Correction code on such a molecule. We also discuss recently developed molecular systems that could be adequate from an experimental point of view.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-22T13:46:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic molecules",
      "implement shors quantum error correction",
      "shors quantum error correction code",
      "ground energy level structure",
      "assume independent spin qubits"
    ],
    "publication": {
      "doi": "10.1209/0295-5075/110/33001",
      "journal": "EPL (Europhysics Letters)",
      "year": 2015,
      "month": "May",
      "volume": 110,
      "number": 3,
      "pages": 33001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015EL....11033001B"
    }
  }
}