Please use this identifier to cite or link to this item: https://doi.org/10.1142/S1230161208000079
Title: Random quantum codes from gaussian ensembles and an uncertainty relation
Authors: Hayden, P.
Shor, P.W.
Winter, A. 
Issue Date: Mar-2008
Citation: Hayden, P., Shor, P.W., Winter, A. (2008-03). Random quantum codes from gaussian ensembles and an uncertainty relation. Open Systems and Information Dynamics 15 (1) : 71-89. ScholarBank@NUS Repository. https://doi.org/10.1142/S1230161208000079
Abstract: Using random Gaussian vectors and an information-uncertainty relation, we give a proof that the coherent information is an achievable rate for entanglement transmission through a noisy quantum channel. The codes are random subspaces selected according to the Haar measure, but distorted as a function of the senders input density operator. Using large deviations techniques, we show that classical data transmitted in either of two Fourier-conjugate bases for the coding subspace can be decoded with low probability of error. A recently discovered information-uncertainty relation then implies that the quantum mutual information for entanglement encoded into the subspace and transmitted through the channel will be high. The monogamy of quantum correlations finally implies that the environment of the channel cannot be significantly coupled to the entanglement which, concluding, ensures the existence of a decoding by the receiver. © 2008 World Scientific Publishing Company.
Source Title: Open Systems and Information Dynamics
URI: http://scholarbank.nus.edu.sg/handle/10635/116560
ISSN: 12301612
DOI: 10.1142/S1230161208000079
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

21
checked on Sep 19, 2018

WEB OF SCIENCETM
Citations

19
checked on Sep 5, 2018

Page view(s)

37
checked on Sep 21, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.