Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum error mitigation as a universal error-minimization technique:
  applications from NISQ to FTQC eras   In the early years of fault-tolerant quantum computing (FTQC), it is expected
that the available code distance and the number of magic states will be
restricted due to the limited scalability of quantum devices and the
insufficient computational power of classical decoding units. Here, we
integrate quantum error correction and quantum error mitigation into an
efficient FTQC architecture that effectively increases the code distance and
$T$-gate count at the cost of constant sampling overheads in a wide range of
quantum computing regimes. For example, while we need $10^4$ to $10^{10}$
logical operations for demonstrating quantum advantages from optimistic and
pessimistic points of view, we show that we can reduce the required number of
physical qubits by $80\%$ and $45\%$ in each regime. From another perspective,
when the achievable code distance is up to about 11, our scheme allows
executing $10^3$ times more logical operations. This scheme will dramatically
alleviate the required computational overheads and hasten the arrival of the
FTQC era.

18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg