Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neural-Network Decoders for Quantum Error Correction using Surface
  Codes:A Space Exploration of the Hardware Cost-Performance Trade-Offs   Quantum Error Correction (QEC) is required in quantum computers to mitigate
the effect of errors on physical qubits. When adopting a QEC scheme based on
surface codes, error decoding is the most computationally expensive task in the
classical electronic back-end. Decoders employing neural networks (NN) are
well-suited for this task but their hardware implementation has not been
presented yet. This work presents a space exploration of fully-connected
feed-forward NN decoders for small distance surface codes. The goal is to
optimize the neural network for high decoding performance, while keeping a
minimalistic hardware implementation. This is needed to meet the tight delay
constraints of real-time surface code decoding. We demonstrate that hardware
based NN-decoders can achieve high decoding performance comparable to other
state-of-the-art decoding algorithms whilst being well below the tight delay
requirements $(\approx 440\ \mathrm{ns})$ of current solid-state qubit
technologies for both ASIC designs $(<30\ \mathrm{ns})$ and FPGA
implementations $(<90\ \mathrm{ns})$. These results designates NN-decoders as
fitting candidates for an integrated hardware implementation in future
large-scale quantum computers.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys