Introduction to Quantum Physics and Information Processing

Chapter 10

Quantum Error Correction

Bits as well as qubits are affected by noise in transmission, the process of

computation or even storage. We will refer to the error-prone area as a channel.

The error is introduced by unwanted but unavoidable interaction with the

rest of the world and needs to be corrected before the data can be reliable.

Classically this is important in communication systems and there is a whole

thriving field of study of classical error correction. In quantum systems, states

are intrinsically so fragile that unless they are impossibly isolated from the

rest of the world, errors or noise would make computation or communication

using ...