Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cryptography based on operator theory (I): quantum no-key protocols   We study cryptography based on operator theory, and propose quantum no-key
(QNK) protocols from the perspective of operator theory, then present a
framework of QNK protocols. The framework is expressed in two forms:
trace-preserving quantum operators and natural presentations. Then we defined
the information-theoretical security of QNK protocols and the security of
identification keys. Two kinds of QNK protocols are also proposed. The first
scheme is constructed based on unitary transformation, and the other is
constructed based on two multiplicative commutative sets.

21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th