522 citations · 2.3k across the 64 of their papers we have counts for
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Quantum Convolutional BCH Codes
Salah A. Aly, Markus Grassl, Andreas Klappenecker +2
Quantum convolutional codes can be used to protect a sequence of qubits of arbitrary length against decoherence. We introduce two new families of quantum convolutional codes. Our c…
Constructions of Quantum Convolutional Codes
Markus Grassl, Martin Roetteler
We address the problems of constructing quantum convolutional codes (QCCs) and of encoding them. The first construction is a CSS-type construction which allows us to find QCCs of r…
Quantum Block and Convolutional Codes from Self-orthogonal Product Codes
Markus Grassl, Martin Roetteler
We present a construction of self-orthogonal codes using product codes. From the resulting codes, one can construct both block quantum error-correcting codes and quantum convolutio…
Graphs, Quadratic Forms, and Quantum Codes
Markus Grassl, Andreas Klappenecker, Martin Roetteler
We show that any stabilizer code over a finite field is equivalent to a graphical quantum code. Furthermore we prove that a graphical quantum code over a finite field is a stabiliz…