Triorthogonal codes and self-dual codes
Copyright policy )Triorthogonal codes and self-dual codes
Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct binary triorthogonal matrices from binary self-dual codes. Further, we generalize to this setting the classical coding techniques of shortening and extending. We also give some simple propagation rules.
21 pages
FOS: Computer and information sciences, Quantum Physics, building up, Other types of codes, triorthogonal matrices, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Physical sciences, LOCC, teleportation, dense coding, remote state operations, distillation, 94B05, Quantum coding (general), propagation rules, self-dual codes, Quantum Physics (quant-ph), Linear codes (general theory)
FOS: Computer and information sciences, Quantum Physics, building up, Other types of codes, triorthogonal matrices, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Physical sciences, LOCC, teleportation, dense coding, remote state operations, distillation, 94B05, Quantum coding (general), propagation rules, self-dual codes, Quantum Physics (quant-ph), Linear codes (general theory)
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