Linked Life Data

21231212

Source:http://linkedlifedata.com/resource/pubmed/id/21231212

Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
20
pubmed:dateCreated
2011-1-14
pubmed:abstractText
The tensor rank (also known as generalized Schmidt rank) of multipartite pure states plays an important role in the study of entanglement classifications and transformations. We employ powerful tools from the theory of homogeneous polynomials to investigate the tensor rank of symmetric states such as the tripartite state |W3>=1/?3(|100> + |010> + |001>) and its N-partite generalization |W(N)>. Previous tensor rank estimates are dramatically improved and we show that (i) three copies of |W3> have a rank of either 15 or 16, (ii) two copies of |W(N)> have a rank of 3N - 2, and (iii) n copies of |W(N)> have a rank of O(N). A remarkable consequence of these results is that certain multipartite transformations, impossible even probabilistically, can become possible when performed in multiple-copy bunches or when assisted by some catalyzing state. This effect is impossible for bipartite pure states.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Nov
pubmed:issn
1079-7114
pubmed:author
pubmed:issnType
Electronic
pubmed:day
12
pubmed:volume
105
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
200501
pubmed:year
2010
pubmed:articleTitle
Tensor rank and stochastic entanglement catalysis for multipartite pure states.
pubmed:affiliation
Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117542. cqtcl@nus.edu.sg
pubmed:publicationType
Journal Article