Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fault-Tolerant Quantum Computation with Constant Overhead   What is the minimum number of extra qubits needed to perform a large
fault-tolerant quantum circuit? Working in a common model of fault-tolerance, I
show that in the asymptotic limit of large circuits, the ratio of physical
qubits to logical qubits can be a constant. The construction makes use of
quantum low-density parity check codes, and the asymptotic overhead of the
protocol is equal to that of the family of quantum error-correcting codes
underlying the fault-tolerant protocol.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph