Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Advantage without Entanglement   We study the advantage of pure-state quantum computation without entanglement
over classical computation. For the Deutsch-Jozsa algorithm we present the
maximal subproblem that can be solved without entanglement, and show that the
algorithm still has an advantage over the classical ones. We further show that
this subproblem is of greater significance, by proving that it contains all the
Boolean functions whose quantum phase-oracle is non-entangling. For Simon's and
Grover's algorithms we provide simple proofs that no non-trivial subproblems
can be solved by these algorithms without entanglement.

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an