Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems   We introduce a generalized theory of decoherence-free subspaces and
subsystems (DFSs), which do not require accurate initialization. We derive a
new set of conditions for the existence of DFSs within this generalized
framework. By relaxing the initialization requirement we show that a DFS can
tolerate arbitrarily large preparation errors. This has potentially significant
implications for experiments involving DFSs, in particular for the experimental
implementation, over DFSs, of the large class of quantum algorithms which can
function with arbitrary input states.

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat