Efficient Quantum Polar Codes Requiring No Preshared Entanglement

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F15%3A00087416" target="_blank" >RIV/00216224:14330/15:00087416 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/TIT.2015.2468084" target="_blank" >http://dx.doi.org/10.1109/TIT.2015.2468084</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TIT.2015.2468084" target="_blank" >10.1109/TIT.2015.2468084</a>

Result language
angličtina
Original language name
Efficient Quantum Polar Codes Requiring No Preshared Entanglement
Original language description
We construct an explicit quantum coding scheme which achieves a communication rate not less than the coherent information when used to transmit the quantum information over a noisy quantum channel. For Pauli and erasure channels, we also present efficient encoding and decoding algorithms for this communication scheme based on polar codes (essentially linear in the blocklength), but which do not require the sender and receiver to share any entanglement before the protocol begins. Due to the existence ofdegeneracies in the involved error-correcting codes, it is indeed possible that the rate of the scheme exceeds the coherent information. We provide a simple criterion which indicates such performance. Finally, we discuss how the scheme can be used for secret key distillation as well as private channel coding.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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