Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Clifford group, stabilizer states, and linear and quadratic
  operations over GF(2)   We describe stabilizer states and Clifford group operations using linear
operations and quadratic forms over binary vector spaces. We show how the
n-qubit Clifford group is isomorphic to a group with an operation that is
defined in terms of a (2n+1)x(2n+1) binary matrix product and binary quadratic
forms. As an application we give two schemes to efficiently decompose Clifford
group operations into one and two-qubit operations. We also show how the
coefficients of stabilizer states and Clifford group operations in a standard
basis expansion can be described by binary quadratic forms. Our results are
useful for quantum error correction, entanglement distillation and possibly
quantum computing.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph