Journal article Open Access

Multistate and multihypothesis discrimination with open quantum systems

Kiilerich, Alexander Holm; Mølmer, Klaus


Citation Style Language JSON Export

{
  "DOI": "10.1103/PhysRevA.97.052113", 
  "author": [
    {
      "family": "Kiilerich, Alexander Holm"
    }, 
    {
      "family": "M\u00f8lmer, Klaus"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2018, 
        5, 
        14
      ]
    ]
  }, 
  "abstract": "<p>We show how an upper bound for the ability to discriminate any number&nbsp;N&nbsp;of candidates for the Hamiltonian governing the evolution of an open quantum system may be calculated by numerically efficient means. Our method applies an effective master equation analysis to evaluate the pairwise overlaps between candidate full states of the system and its environment pertaining to the Hamiltonians. These overlaps are then used to construct an&nbsp;N-dimensional representation of the states. The optimal positive-operator valued measure (POVM) and the corresponding probability of assigning a false hypothesis may subsequently be evaluated by phrasing optimal discrimination of multiple non-orthogonal quantum states as a semi-definite programming problem. We investigate the structure of the optimal POVM and we provide three realistic examples of hypothesis testing with open quantum systems.</p>", 
  "title": "Multistate and multihypothesis discrimination with open quantum systems", 
  "type": "article-journal", 
  "id": "1566638"
}
67
52
views
downloads
Views 67
Downloads 52
Data volume 328.5 MB
Unique views 58
Unique downloads 52

Share

Cite as