Quantum polylog-LDPC error correcting codes achieving the hashing bound on the depolarizing channel
Abstract: The quantum capacity is a fundamental bound on the rate of a quantum error correcting code: it gives the maximal number of logical qubits k that can be encoded in n noisy physical qubits, subject to random depolarizing or erasure errors. A major achievement of classical coding theory is the construction of LDPC error correcting codes approaching the classical capacity of symmetric binary channels.
Scalable error correction strategies and the memory capacity of open quantum neural networks
Due to the fragility of quantum states, quantum error correction is a necessary ingredient for scalable, beneficial quantum computation. In order not to lose the corrective power of an error correcting code, logical operations as well as the decoding need to be performed in a fault-tolerant way. In this context, I will present recent results on the modelling of lattice surgery for performing a logical state teleportation between surface codes, as well as recent experimental demonstration of fault-tolerant lattice surgery with quantum repetition codes [1].
Scalable error correction strategies and the memory capacity of open quantum neural networks
Abstract: Due to the fragility of quantum states, quantum error correction is a necessary ingredient for scalable, beneficial quantum computation. In order not to lose the corrective power of an error correcting code, logical operations as well as the decoding need to be performed in a fault-tolerant way. In this context, I will present recent results on the modelling of lattice surgery for performing a logical state teleportation between surface codes, as well as recent experimental demonstration of fault-tolerant lattice surgery with quantum repetition codes [1].