2017/08/09 by Johan P. Hansen, Hansen, Johan P.
Computer Science · Mathematics · Physics and Astronomy · #11T71 #14M25 #68P30 #Algebraic Geometry (math.AG) #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Quantum Physics (quant-ph) #cs.CR #math.AG #msc:11T71 #msc:14M25 #msc:68P30 #quant-ph
paper · pdf · doi:10.48550/arxiv.1708.02921
9 pages
arxiv created 2017/08/09 · arxiv updated 2017/08/10
Asymmetric quantum error-correcting codes are quantum codes defined over biased quantum channels: qubit-flip and phase-shift errors may have equal or different probabilities. The code construction is the Calderbank-Shor-Steane construction based on two linear codes. We present families of toric surfaces, toric codes and associated asymmetric quantum error-correcting codes.