Tensor-network codes

T Farrelly, RJ Harris, NA McMahon, TM Stace - Physical Review Letters, 2021 - APS
We introduce tensor-network stabilizer codes which come with a natural tensor-network
decoder. These codes can correspond to any geometry, but, as a special case, we …

Optimization of tensor network codes with reinforcement learning

C Mauron, T Farrelly, TM Stace - New Journal of Physics, 2024 - iopscience.iop.org
Tensor network codes enable structured construction and manipulation of stabilizer codes
out of small seed codes. Here, we apply reinforcement learning (RL) to tensor network code …

Parallel decoding of multiple logical qubits in tensor-network codes

T Farrelly, N Milicevic, RJ Harris, NA McMahon… - Physical Review A, 2022 - APS
We consider tensor-network stabilizer codes and show that their tensor-network decoder
has the property that independent logical qubits can be decoded in parallel. As long as the …

Local tensor-network codes

T Farrelly, DK Tuckett, TM Stace - New Journal of Physics, 2022 - iopscience.iop.org
Tensor-network codes enable the construction of large stabilizer codes out of tensors
describing smaller stabilizer codes. An application of tensor-network codes was an efficient …

Convolutional polar codes

AJ Ferris, C Hirche, D Poulin - arXiv preprint arXiv:1704.00715, 2017 - arxiv.org
Arikan's Polar codes attracted much attention as the first efficiently decodable and capacity
achieving codes. Furthermore, Polar codes exhibit an exponentially decreasing block error …

Multi-domain communication systems and networks: A tensor-based approach

D Pandey, A Venugopal, H Leib - Network, 2021 - mdpi.com
Most modern communication systems, such as those intended for deployment in IoT
applications or 5G and beyond networks, utilize multiple domains for transmission and …

Twisted-pair superposition transmission

S Cai, X Ma - IEEE Transactions on Communications, 2021 - ieeexplore.ieee.org
We propose in this paper a new coding scheme called twisted-pair superposition
transmission (TPST). The encoding is to “mix together” a pair of basic codes by …

Bounds on information combining with quantum side information

C Hirche, D Reeb - IEEE Transactions on Information Theory, 2018 - ieeexplore.ieee.org
“Bounds on information combining” are entropic inequalities that determine how the
information (entropy) of a set of random variables can change when these are combined in …

Successive cancellation list decoding of BMERA codes with application to higher-order modulation

T Prinz, P Yuan - 2018 IEEE 10th International Symposium on …, 2018 - ieeexplore.ieee.org
BMERA or convolutional polar codes are an extension of polar codes with a provably better
error exponent than polar codes. A successive cancellation (SC) decoding algorithm for …

Continuous entanglement renormalization on the circle

LY Hung, G Vidal - Physical Review Research, 2021 - APS
The continuous multiscale entanglement renormalization ansatz (cMERA) is a variational
class of states for quantum fields. As originally formulated, the cMERA applies to infinite …