Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum algorithm for spectral projection by measuring an ancilla
  iteratively   We propose a quantum algorithm for projecting a quantum system to eigenstates
of any Hermitian operator, provided one can access the associated
control-unitary evolution for the ancilla and the system, as well as the
measurement of the controlling ancillary qubit. Such a Hadamard-test like
primitive is iterated so as to achieve the spectral projection, and the
distribution of the projected eigenstates obeys the Born rule. This algorithm
can be used as a subroutine in the quantum annealing procedure by measurement
to drive the system to the ground state of a final Hamiltonian, and we simulate
this for quantum many-body spin chains.

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The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics