Topological and holographic quantum error correction codes
prof. dr hab. Andrzej Grudka

Date, Time
06.05, 15:00 - 16:00

Location
Link to MSTeams meeting

I will give introduction to quantum error correction. I will describe stabilizer formalism and show how to construct topological error correction codes. Then I will present a procedure which enables encoding of qubits in them. I will describe holographic error correction codes and their relation to absolutely maximally entangled states. Finally I will show how one can find stabilizers for concatenated codes with the use of entanglement swapping.

References

[1] Simple scheme for encoding and decoding a qubit in unknown state for various topological codes
Łodyga, P. Mazurek, A. Grudka, and M. Horodecki
Sci. Rep. 5, 8975 (2015)

[2] Quantum error correction codes and absolutely maximally entangled states
Mazurek, M. Farkas, A. Grudka, M. Horodecki, M. Studziński
Phys. Rev. A 101, 042305 (2020)