Quantum error correction codes (QECCs) can be constructed from the known classical
coding paradigm by exploiting the inherent isomorphism between the classical and quantum …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

One formidable difficulty in quantum communication and computation is to protect
information-carrying quantum states against undesired interactions with the environment. To …

This survey guides the reader through the extensive open literature that is covering the
family of low-density parity-check LDPC codes and their rateless relatives. In doing so, we …

We present a construction for quantum error correcting codes. The basic ingredients are a
graph and a finite Abelian group, from which the code can explicitly be obtained. We prove …

In this article we argue that the retail transnational corporation (TNC) is an entity that merits
urgent theoretical and empirical investigation from economic geographers. Using recent …

arxiv:quant-ph/0111080v1 14 Nov 2001 Page 1 arxiv:quant-ph/0111080v1 14 Nov 2001
Stabilizer codes can be realized as graph codes D. Schlingemann Institut für …

We present two methods for the construction of quantum circuits for quantum error-correcting
codes (QECC). The underlying quantum systems are tensor products of subsystems (qudits) …

The entanglement-assisted stabilizer formalism provides a useful framework for constructing
quantum error-correcting codes (QECC), which can transform arbitrary classical linear codes …

We give an asymptotically good family of quantum CSS codes on qubits with a transversal
CCZ gate, meaning that the parallel logical CCZ on all logical qubits is performed by parallel …