Imperial College London
Portrait Picture

Professor Myungshik Kim

Faculty of Natural Sciences, Department of Physics

Chair in Theoretical Quantum Information Sciences
 
 
 
//

Contact

 

+44 (0)20 7594 7754m.kim

 
 
//

Location

 

1202Electrical EngineeringSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Rigovacca:2018:1367-2630/aa9fcf,
author = {Rigovacca, L and Kato, G and Bauml, S and Kim, MS and Munro, WJ and Azuma, K},
doi = {1367-2630/aa9fcf},
journal = {New Journal of Physics},
title = {Versatile relative entropy bounds for quantum networks},
url = {http://dx.doi.org/10.1088/1367-2630/aa9fcf},
volume = {20},
year = {2018}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We provide a versatile upper bound on the number of maximally entangled qubits, or private bits, shared by two parties via a generic adaptive communication protocol over a quantum network when the use of classical communication is not restricted. Although our result follows the idea of Azuma et al (2016 Nat. Commun. 7 13523) of splitting the network into two parts, our approach relaxes their strong restriction, consisting of the use of a single entanglement measure in the quantification of the maximum amount of entanglement generated by the channels. In particular, in our bound the measure can be chosen on a channel-by-channel basis, in order to make it as tight as possible. This enables us to apply the relative entropy of entanglement, which often gives a state-of-the-art upper bound, on every Choi-simulable channel in the network, even when the other channels do not satisfy this property. We also develop tools to compute, or bound, the max-relative entropy of entanglement for channels that are invariant under phase rotations. In particular, we present an analytical formula for the max-relative entropy of entanglement of the qubit amplitude damping channel.
AU  - Rigovacca,L
AU  - Kato,G
AU  - Bauml,S
AU  - Kim,MS
AU  - Munro,WJ
AU  - Azuma,K
DO  - 1367-2630/aa9fcf
PY  - 2018///
SN  - 1367-2630
TI  - Versatile relative entropy bounds for quantum networks
T2  - New Journal of Physics
UR  - http://dx.doi.org/10.1088/1367-2630/aa9fcf
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000423415100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/57145
VL  - 20
ER  -
Download