Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circuit-Oriented Symmetry Verification: From Quantum Switches to
  Spatio-Temporal Stabilizers   State-of-the-art noisy intermediate-scale quantum computers require
low-complexity techniques for the mitigation of computational errors inflicted
by quantum decoherence. Symmetry verification constitutes a class of quantum
error mitigation (QEM) techniques, which distinguishes erroneous computational
results from the correct ones by exploiting the intrinsic symmetry of the
computational tasks themselves. Inspired by the benefits of quantum switch in
the quantum communication theory, we propose beneficial techniques for
circuit-oriented symmetry verification that are capable of verifying the
commutativity of quantum circuits without the knowledge of the quantum state.
In particular, we propose the spatio-temporal stabilizer (STS) technique, which
generalizes the conventional quantum-domain stabilizer formalism to
circuit-oriented stabilizers. The applicability and implementational strategies
of the proposed techniques are demonstrated by using practical quantum
algorithms, including the quantum Fourier transform (QFT) and the quantum
approximate optimization algorithm (QAOA).

20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg