Quantum Coding with Entanglement

Understand

Quantum error-correcting codes will be the ultimate enabler of a future quantum computing or quantum communication device.

• This theory forms the cornerstone of practical quantum information theory.
• We provide several contributions to the theory of quantum error correction--mainly to the theory of "entanglement-assisted" quantum error correction where the sender and receiver share entanglement in the form of entangled bits (ebits) before quantum communication begins.
• Our first contribution is an algorithm for encoding and decoding an entanglement-assisted quantum block code.