16 citations · 30 across the 6 of their papers we have counts for
6 papers
Quantum stabilizer codes and beyond
Pradeep Kiran Sarvepalli
The importance of quantum error correction in paving the way to build a practical quantum computer is no longer in doubt. This dissertation makes a threefold contribution to the ma…
Encoding Subsystem Codes
Pradeep Kiran Sarvepalli, Andreas Klappenecker
In this paper we investigate the encoding of operator quantum error correcting codes i.e. subsystem codes. We show that encoding of subsystem codes can be reduced to encoding of a…
Asymptotics of the quantum Hamming bound for subsystem codes
Andreas Klappenecker, Pradeep Kiran Sarvepalli
Ashikhmin and Litsyn showed that all binary stabilizer codes - pure or impure - of sufficiently large length obey the quantum Hamming bound, ruling out the possibility that impure…
Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes
Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli
Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to…
Duadic Group Algebra Codes
Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli
Duadic group algebra codes are a generalization of quadratic residue codes. This paper settles an open problem raised by Zhu concerning the existence of duadic group algebra codes.…
Nonbinary Quantum Reed-Muller Codes
Pradeep Kiran Sarvepalli, Andreas Klappenecker
We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial a…