{
  "id": "1703.08686",
  "version": "v1",
  "published": "2017-03-25T12:51:01.000Z",
  "updated": "2017-03-25T12:51:01.000Z",
  "title": "Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir",
  "authors": [
    "Dong Wang",
    "Ai-Jun Huang",
    "Ross D. Hoehn",
    "Fei Ming",
    "Wen-Yang Sun",
    "Jia-Dong Shi",
    "Liu Ye",
    "Sabre Kais"
  ],
  "comment": "17 pages, 9 figures, to appear in Scientific Reports",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence. Here, we investigate the dynamic behaviors of the entropic uncertainty relation of an atom-cavity interacting system under a bosonic reservoir during the crossover between Markovian and non-Markovian regimes. Specifically, we explore the dynamic behavior of the entropic uncertainty relation for a pair of incompatible observables under the reservoir-induced atomic decay effect both with and without quantum memory. We find that the uncertainty dramatically depends on both the atom-cavity and the cavity-reservoir interactions, as well as the correlation time, $\\tau$, of the structured reservoir. Furthermore, we verify that the uncertainty is anti-correlated with the purity of the state of the observed qubit-system. We also propose a remarkably simple and efficient way to reduce the uncertainty by utilizing quantum weak measurement reversal. Therefore our work offers a new insight into the uncertainty dynamics for multi-component measurements within an open system, and is thus important for quantum precision measurements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-25T12:51:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropic uncertainty relation",
      "structured bosonic reservoir",
      "non-markovian processes",
      "quantum precision measurement",
      "utilizing quantum weak measurement reversal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}