Changing the local-dimension of an entanglement-assisted stabilizer code removes entanglement need
Entanglement-assisted quantum error-correcting codes (EAQECC) have the advantage over standard stabilizer codes of being able to be constructed using any classical code. Unfortunately, EAQECC's require some perfectly shared entanglement between sender and receiver. This entanglement is used to resolve non-commuting generators for the code, however, utilizing our recent work on local-dimension-invariant stabilizer codes this need for entanglement can be removed--so long as the local-dimension (number of levels) of the code is changed. For example, one could take an arbitrary classical binary code, transform it into a qubit EAQECC, then modify it using the given procedure to produce a qutrit stabilizer code. In this talk I'll provide a brief summary of stabilizer codes (in the qudit case as well), EAQECC, local-dimension-invariant codes, then finally this new result.
This talk is based off of: arXiv:2012.13395v1, which builds off of arXiv:1910.08122v2 (Gunderman, L. G. (2020). Local-dimension-invariant qudit stabilizer codes. Physical Review A, 101(5), 052343.)
Join the seminar on Zoom!
Meeting link: https://zoom.us/j/99786325766?pwd=TkJWTHhnUzBNbXRCMG1xRFhVWkZjQT09
Meeting ID: 997 8632 5766
Password: 0DEnFgj
Add event to calendar