| RENES, Joseph, David SUTTER, Frédéric DUPONT DUPUIS and Renato RENNER. Efficient Quantum Polar Codes Requiring No Preshared Entanglement. IEEE TRANSACTIONS ON INFORMATION THEORY. PISCATAWAY: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2015, vol. 61, No 11, p. 6395-6414. ISSN 0018-9448. Available from: https://dx.doi.org/10.1109/TIT.2015.2468084. |
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@article{1344367,
author = {Renes, Joseph and Sutter, David and Dupont Dupuis, Frédéric and Renner, Renato},
article_location = {PISCATAWAY},
article_number = {11},
doi = {http://dx.doi.org/10.1109/TIT.2015.2468084},
keywords = {Quantum polar codes; coherent information; entanglement distillation; privacy amplification; information reconciliation; secret key distillation; private channel coding},
language = {eng},
issn = {0018-9448},
journal = {IEEE TRANSACTIONS ON INFORMATION THEORY},
title = {Efficient Quantum Polar Codes Requiring No Preshared Entanglement},
volume = {61},
year = {2015}
}
TY - JOUR
ID - 1344367
AU - Renes, Joseph - Sutter, David - Dupont Dupuis, Frédéric - Renner, Renato
PY - 2015
TI - Efficient Quantum Polar Codes Requiring No Preshared Entanglement
JF - IEEE TRANSACTIONS ON INFORMATION THEORY
VL - 61
IS - 11
SP - 6395-6414
EP - 6395-6414
PB - IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
SN - 00189448
KW - Quantum polar codes
KW - coherent information
KW - entanglement distillation
KW - privacy amplification
KW - information reconciliation
KW - secret key distillation
KW - private channel coding
N2 - 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 of degeneracies 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.
ER -
RENES, Joseph, David SUTTER, Frédéric DUPONT DUPUIS and Renato RENNER. Efficient Quantum Polar Codes Requiring No Preshared Entanglement. \textit{IEEE TRANSACTIONS ON INFORMATION THEORY}. PISCATAWAY: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2015, vol.~61, No~11, p.~6395-6414. ISSN~0018-9448. Available from: https://dx.doi.org/10.1109/TIT.2015.2468084.
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