Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Computational Method of Finding the Ground State Energy and
  Expectation Values   We propose a new quantum computational way of obtaining a ground-state energy
and expectation values of observables of interacting Hamiltonians. It is based
on the combination of the adiabatic quantum evolution to project a ground state
of a non-interacting Hamiltonian onto a ground state of an interacting
Hamiltonian and the phase estimation algorithm to retrieve the ground-state
energy. The expectation value of an observable for the ground state is obtained
with the help of Hellmann-Feynman theorem. As an illustration of our method, we
consider a displaced harmonic oscillator, a quartic anharmonic oscillator,and a
potential scattering model. The results obtained by this method are in good
agreement with the known results.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
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The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ