Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximating uniform quantum channels   Let G be a finite subgroup of unitary matrices acting on the space of
$N$-qubits. We associate with G a uniform quantum channel QU from the space on
$N$-qubits to itself. We give a quantum algorithm to approximate this channel
by considering a set of generators on G. Under suitable assumptions this
approximation is BPQ. We then apply this approximation to study the orbit
equivalence of two density matrices under the action of G. We show that for
some special cases of G and two pure states the orbit equivalence in BPQ, if a
specific quantum observation can be implemented efficiently. We discuss the
application of our problem to the graph isomorphism problem.

10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat