Paper Info
Title
Impossibility of Local State Transformation via Hypercontractivity.
Abstract
Local state transformation is the problem of transforming an arbitrary number of copies of a bipartite resource state to a bipartite target state under local operations. That is, given two bipartite states, is it possible to transform an arbitrary number of copies of one of them into one copy of the other state under local operations only? This problem is a hard one in general since we assume that the number of copies of the resource state is arbitrarily large. In this paper we prove some bounds on this problem using the hypercontractivity properties of some super-operators corresponding to bipartite states. We measure hypercontractivity in terms of both the usual super-operator norms as well as completely bounded norms.
Year
DOI
Venue
2013
10.1007/s00220-014-2105-y
Communications in Mathematical Physics
Keywords
Field
DocType
Maximal Correlation,Local Operation,Quantum Case,Logarithmic Sobolev Inequality,Bipartite State
Topology,Discrete mathematics,Combinatorics,Bipartite graph,Impossibility,Mathematics,Arbitrarily large,Bounded function
Journal
Volume
Issue
ISSN
abs/1307.2747
1
0010-3616
Citations 
PageRank 
References 
7
0.73
6
Authors
2
Name
Order
Citations
PageRank
Delgosha, Payam1162.90
Salman Beigi25611.43