Quantum Jump Codes
Wednesday, September 29th, 2004Date: 29 September, 2004, at 4pm (TBC)
Who: Chris Charnes (Deakin)
Seminar type: Research
Background:
Jump codes are a relatively new approach to quantum error correction which relies on the continuous monitoring of quantum jumps in systems of distinguishable qubits: Alber et al quant-ph/0103042 (PRL 2001), quant-ph/0208142 (PRA 2003). These codes combine active and passive error correcting strategies to achieve to correct errors due to quantum jumps. There are several connections between jump codes and combinatorial structures. A group theoretic construction has emerged which accounts for many of the known jump codes including the optimal 1-error correcting codes. More recently it has been observed that there is a connection between the group construction of jump codes and classical invariant theory. Polynomial invariants have been previously studied in the context of stabilizer codes: quant-ph/9700442, quant-ph/9712040. In this talk I will explore some of the connections between jump codes, permutation groups and polynomial invariants.