Quantum computing, error correcting quantum codes and algebraic curves

Entanglement-assisted quantum error-correcting (EAQEC) codes are a generalization of quantum error-correcting (QEC) codes, which can be constructed from arbitrary classical linear codes by relaxing the dual-containing condition and by using ...$\frac{\mathrm{}{}^{\mathrm{}}\mathrm{}}{}$${}^{\mathrm{}}\mathrm{}$$\frac{\mathrm{}}{\mathrm{}}$

We show how to convert an arbitrary stabilizer code into a bipartite quantum code. A bipartite quantum code is one that involves two senders and one receiver. The two senders exploit both nonlocal and local quantum resources to encode quantum ...