Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Synthesis of 3-Qubit Quantum Circuits from Non-Binary Quantum
  Gates Using Multiple-Valued Logic and Group Theory   We propose an approach to optimally synthesize quantum circuits from
non-permutative quantum gates such as Controlled-Square-Root-of-Not (i.e.
Controlled-V). Our approach reduces the synthesis problem to multiple-valued
optimization and uses group theory. We devise a novel technique that transforms
the quantum logic synthesis problem from a multi-valued constrained
optimization problem to a group permutation problem. The transformation enables
us to utilize group theory to exploit the properties of the synthesis problem.
Assuming a cost of one for each two-qubit gate, we found all reversible
circuits with quantum costs of 4, 5, 6, etc, and give another algorithm to
realize these reversible circuits with quantum gates.

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The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
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The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol