Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Security Significance of the Trace Distance Criterion in Quantum Key
  Distribution   The security significance of the trace distance security criterion $d$ is
analyzed in terms of operational probabilities of an attacker's success in
identifying different subsets of the generated key, both during the key
generation process and when the key is used in one-time pad data encryption
under known-plaintext attacks. The difference between Eve's sequence error rate
and bit error rate is brought out. It is shown with counter-examples that the
strong security claim maintained in the literature is incorrect. Other than the
whole key error rates that can be quantified at the levels d^{1/3} and d^{1/4}
which are much worse than $d$ itself, the attacker's success probabilities in
estimating various subsets of the key and in known-plaintext attacks are yet to
be quantified from $d$ if possible. It is demonstrated in realistic numerical
examples of concrete protocols that drastic breach of security cannot yet be
ruled out.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph