7 papers
Combining hard and soft decoders for hypergraph product codes
Antoine Grospellier, Lucien Grouès, Anirudh Krishna +1
Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip (SSF). This decoder di…
Fault-tolerant gates on hypergraph product codes
Anirudh Krishna, David Poulin
Hypergraph product codes are a class of quantum low density parity check (LDPC) codes discovered by Tillich and Zémor. These codes have a constant encoding rate and were recently s…
Topological wormholes
Anirudh Krishna, David Poulin
Locality plays a fundamental role in quantum computation but also severely restricts our ability to store and process quantum information. We argue that this restriction may be unw…
Bias-preserving gates with stabilized cat qubits
Shruti Puri, Lucas St-Jean, Jonathan A. Gross +9
The code capacity threshold for error correction using qubits which exhibit asymmetric or biased noise channels is known to be much higher than with qubits without such structured…
Towards low overhead magic state distillation
Anirudh Krishna, Jean-Pierre Tillich
Magic state distillation is a resource intensive sub-routine for quantum computation. The ratio of noisy input states to output states with error rate at most scales as $O(\log…
Magic state distillation with punctured polar codes
Anirudh Krishna, Jean-Pierre Tillich
We present a scheme for magic state distillation using punctured polar codes. Our results build on some recent work by Bardet et al. (ISIT, 2016) who discovered that polar codes ca…