Title
Distribution of entanglement in networks of bi-partite full-rank mixed states
Abstract
We study quantum entanglement distribution on networks with full-rank bi-partite mixed states linking qubits on nodes. In particular, we use entanglement swapping and purification to partially entangle widely separated nodes. The simplest method consists of performing entanglement swappings along the shortest chain of links connecting the two nodes. However, we show that this method may be improved upon by choosing a protocol with a specific ordering of swappings and purifications. A priori, the design that produces optimal improvement is not clear. However, we parameterize the choices and find that the optimal values depend strongly on the desired measure of improvement. As an initial application, we apply the new improved protocols to the Erdös-Rényi network and obtain results including low density limits and an exact calculation of the average entanglement gained at the critical point.
Year
Venue
Keywords
2012
Quantum Information & Computation
full-rank bi-partite mixed state,optimal value,exact calculation,quantum entanglement distribution,average entanglement,new improved protocol,optimal improvement,simplest method,bi-partite full-rank mixed state,entanglement swappings,critical point,quantum physics,quantum entanglement
Field
DocType
Volume
Rank (linear algebra),Discrete mathematics,Multipartite entanglement,Quantum entanglement,W state,Quantum mechanics,A priori and a posteriori,Squashed entanglement,Critical point (thermodynamics),Qubit,Mathematics
Journal
12
Issue
ISSN
Citations 
5-6
1533-7146
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
G. J. Lapeyre100.34
S. Perseguers2273.35
Maciej Lewenstein344.16
Antonio Acin4243.45