ar X iv : q ua nt - p h / 06 10 15 3 v 1 18 O ct 2 00 6 Subsystem Codes
نویسندگان
چکیده
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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Daniel Cavalcanti, L. M. Moreira, Franklin Matinaga, Marcelo O. Terra Cunha, Marcelo França Santos 1 Departamento de F́ısica CP 702 Universidade Federal de Minas Gerais 30123-970 Belo Horizonte MG Brazil 2 Departamento de Matemática CP 702 Universidade Federal de Minas Gerais 30123-970 Belo Horizonte MG Brazil 3 The School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, UK
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تاریخ انتشار 2006