Quantum Error Correction

Presenter:
Felix Huber, Atomic Optics Institute, Jagiellonian University

Abstract:
When a phone line has a “bad connection” or a computer memory has been corrupted, some noise has altered the transmitted or stored information. Similarly, Information stored in quantum states can be affected by noise. Quantum error correction (QEC) allows for the safe storage and transmission of quantum information and forms a back end to practically all types of quantum communication and computation. We draw connections from quantum codes to other topics in quantum information theory, such as quantum channels, the sharing of quantum correlations and entanglement theory, and the quantum marginal problem. We will look at some typical constructions such as stabilizer and bosonic codes and see how bounds on the parameter of codes can be obtained.