Quantum error correction is used in quantum computing and quantum communications to protect quantum information from quantum noise. Quantum LDPC codes are efficiently decodable quantum error correcting codes defined by sparse parity-check equation...
YOSHIDA Masakazu HAGIWARA Manabu MIYADERA Takayuki IMAI Hideki
IEICE technical report. Information theory 110(205) 51-56 Sep 2010
Entangled states play crucial roles in the quantum communication. The entanglement distillation protocol enables us to share entangled states in the noisy channel. We focus the error detection of the quantum error correcting code and show that the...
IEEE International Symposium on Information Theory - Proceedings 784-788 2010
In this paper, we introduce the concept of correctable error set for the BSC, which allows to generalize sum-product decoding for this channel. As a result, better error performance or faster convergence can be achieved. Furthermore, the correctab...
YAMAKAWA Shigenori CUI Yang HAGIWARA Manabu KOBARA Kazukuni IMAI Hideki
IEICE technical report 108(473) 537-543 Mar 2009
Most of the current public-key cryptosystems (PKCs) are considered to be broken if a quantum computer is realized in the future. McEliece PKC is one of the cryptosystems expected to be secure against attacks with the quantum computer. In 2001, a p...
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