Y. Tsunoda and Y. Fujiwara, "Improved bounds through probabilistic methods for global quantum error correction," 2019 AMS Spring Central and Western Joint Sectional Meeting, March 22, 2019. (Invited Talk)
Y. Tsunoda and Y. Fujiwara, "Improved bounds through probabilistic methods for global quantum error correction," 2019 AMS Spring Central and Western Joint Sectional Meeting, March 22, 2019. (Invited Talk)
Quantum error correction with a stabilizer code, which is the most basic class of quantum error-correcting codes, can diagnose noise by extracting syndromes which indirectly tell us how quantum information may have been degraded. Although the standard implementation of stabilizer codes assumes that syndrome extraction is perfect and causes no error on the syndromes, it is possible to occur errors both on the data and on the syndromes simultaneously. This talk presents some results on the condition that stabilizer codes can correct such global errors by the probabilistic method in combinatorics.
The Spring Central and Western Joint Sectional Meeting was held at the University of Hawaii in Honolulu, HI, USA from March 22 to 24, 2019 [Conference website]. The travel was supported by Frontier Science Program at Graduate School of Science and Engineering.