English

Cryptography based on operator theory (I): quantum no-key protocols

Quantum Physics 2012-11-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1210.8251,
  title  = {Cryptography based on operator theory (I): quantum no-key protocols},
  author = {Li Yang and Min Liang},
  journal= {arXiv preprint arXiv:1210.8251},
  year   = {2012}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-21T22:30:37.653Z