Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical simulation of fermionic linear optics augmented with noisy
  ancillas   Fermionic linear optics is a model of quantum computation which is
efficiently simulable on a classical probabilistic computer. We study the
problem of a classical simulation of fermionic linear optics augmented with
noisy auxiliary states. If the auxiliary state can be expressed as a convex
combination of pure Fermionic Gaussian states, the corresponding computation
scheme is classically simulable. We present an analytic characterisation of the
set of convex-Gaussian states in the first non-trivial case, in which the
Hilbert space of the ancilla is a four-mode Fock space. We use our result to
solve an open problem recently posed by De Melo et al. and to study in detail
the geometrical properties of the set of convex-Gaussian states.

6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th