Class of codes correcting absorptions and emissions

作     者：Arda Aydin Alexander Barg 

作者机构：ISR and Department of ECE University of Maryland College Park Maryland 20742 USA QuICS NIST University of Maryland College Park Maryland 20742 USA 

出 版 物：《Physical Review A》 (Phys. Rev. A)

年 卷 期：2025年第111卷第2期

页      面：022415-022415页

核心收录：

基　　金：National Science Foundation  NSF  (CCF2330909) 

主　　题：Coding errors 

摘      要：We construct a general family of quantum codes that protect against all emission, absorption, dephasing, and raising or lowering errors up to an arbitrary fixed order. Such codes are known in the literature as absorption-emission (AE) codes. We derive simplified error correction conditions for a general AE code and show that any permutation-invariant code that corrects t or fewer errors can be mapped to an AE code that corrects up to order-t transitions. Carefully tuning the parameters of permutationally invariant codes, we construct several examples of efficient AE codes, hosted in systems with low total angular momentum. Our results also imply that spin codes can be mapped to AE codes, enabling us to characterize logical operators for certain subclasses of such codes.