@inproceedings{grassl2007quantum, author = {Grassl, Markus and Roetteler, Martin}, title = {Quantum Block and Convolutional Codes from Self-orthogonal Product Codes}, booktitle = {Proceedings of the 2005 IEEE International Symposium on Information Theory (ISIT'05)}, year = {2007}, month = {March}, abstract = {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 convolutional codes. We show that from the examples of convolutional codes found, we can derive ordinary quantum error-correcting codes using tail-biting with parameters [[42N,24N,3,2]]. While it is known that the product construction cannot improve the rate in the classical case, we show that this can happen for quantum codes: we show that a code [[15,7,3,2]] is obtained by the product of a code [[5,1,3,2]] with a suitable code.}, url = {http://approjects.co.za/?big=en-us/research/publication/quantum-block-convolutional-codes-self-orthogonal-product-codes/}, pages = {1018-1022}, edition = {Proceedings of the 2005 IEEE International Symposium on Information Theory (ISIT'05)}, }