{
  "id": "1306.0619",
  "version": "v2",
  "published": "2013-06-03T23:15:44.000Z",
  "updated": "2014-01-18T19:56:22.000Z",
  "title": "Direct Measurement of a 27-Dimensional Orbital-Angular-Momentum State Vector",
  "authors": [
    "Mehul Malik",
    "Mohammad Mirhosseini",
    "Martin P. J. Lavery",
    "Jonathan Leach",
    "Miles J. Padgett",
    "Robert W. Boyd"
  ],
  "comment": "8 pages, 3 figures",
  "journal": "Nature Communications 5:3115 (2014)",
  "doi": "10.1038/ncomms4115",
  "categories": [
    "quant-ph",
    "physics.optics"
  ],
  "abstract": "The measurement of a quantum state poses a unique challenge for experimentalists. Recently, the technique of \"direct measurement\" was proposed for characterizing a quantum state in-situ through sequential weak and strong measurements. While this method has been used for measuring polarization states, its real potential lies in the measurement of states with a large dimensionality. Here we show the practical direct measurement of a high-dimensional state vector in the discrete basis of orbital-angular momentum. Through weak measurements of orbital-angular momentum and strong measurements of angular position, we measure the complex probability amplitudes of a pure state with a dimensionality, d=27. Further, we use our method to directly observe the relationship between rotations of a state vector and the relative phase between its orbital-angular-momentum components. Our technique has important applications in high-dimensional classical and quantum information systems, and can be extended to characterize other types of large quantum states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-18T19:56:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "direct measurement",
      "orbital-angular-momentum state vector",
      "orbital-angular momentum",
      "strong measurements",
      "complex probability amplitudes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Nature Communications",
      "year": 2014,
      "month": "Jan",
      "volume": 5,
      "pages": 3115
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014NatCo...5E3115M"
    }
  }
}