3 papers
quant-ph2023
Yoked surface codes
Craig Gidney, Michael Newman, Peter Brooks +1
We nearly triple the number of logical qubits per physical qubit of surface codes in the teraquop regime by concatenating them into high-density parity check codes. These "yoked su…
quant-ph2023
Qutrit codes within representations of SU(3)
Xzavier Herbert, Jonathan Gross, Michael Newman
We describe a quantum error-detecting and error-correcting code embedded within irreducible representations of SU(3). These logical qutrits inherit the He(3) symmetries induced by…
quant-ph2023
Learning to Decode the Surface Code with a Recurrent, Transformer-Based Neural Network
Johannes Bausch, Andrew W Senior, Francisco J H Heras +15
Quantum error-correction is a prerequisite for reliable quantum computation. Towards this goal, we present a recurrent, transformer-based neural network which learns to decode the…