Subsystem Codes

Details Subsystem Codes Subsystem Codes

2006-10-18

arxiv.org/abs/quant-ph/0610153v1

Physics

Quantum Physics

8 pages; 44th Allerton Conference

Scientific paper

We investigate various aspects of operator quantum error-correcting codes or, as we prefer to call them, subsystem codes. We give various methods to derive subsystem codes from classical codes. We give a proof for the existence of subsystem codes using a counting argument similar to the quantum Gilbert-Varshamov bound. We derive linear programming bounds and other upper bounds. We answer the question whether or not there exist [[n,n-2d+2,r>0,d]]_q subsystem codes. Finally, we compare stabilizer and subsystem codes with respect to the required number of syndrome qudits.

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