Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Implementation of Quantum Computing Operations with Phase Modulated
  Microwave Pulses and High-Spin Ions at Zero Magnetic Fields   New physical implementations of quantum computing elementary operations by
pulse manipulations with electron spins of paramagnetic ions having two
electrons and spin S=1 in a zero magnetic field are proposed. New type of
microwave pulses with variable phases and different polarizations are able to
induce different transitions between ion spin states, and those transitions are
described by quantum computing operators. To describe the effects of such
pulses, a new way to present exponential operators as polynomials of Pauli
matrices is proposed.

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn