English

Private Quantum Channels and the Cost of Randomizing Quantum Information

Quantum Physics 2007-05-23 v2

Abstract

We investigate how a classical private key can be used by two players, connected by an insecure one-way quantum channel, to perform private communication of quantum information. In particular we show that in order to transmit n qubits privately, 2n bits of shared private key are necessary and sufficient. This result may be viewed as the quantum analogue of the classical one-time pad encryption scheme. From the point of view of the eavesdropper, this encryption process can be seen as a randomization of the original state. We thus also obtain strict bounds on the amount of entropy necessary for randomizing n qubits.

Keywords

Cite

@article{arxiv.quant-ph/0003101,
  title  = {Private Quantum Channels and the Cost of Randomizing Quantum Information},
  author = {Michele Mosca and Alain Tapp and Ronald de Wolf},
  journal= {arXiv preprint arXiv:quant-ph/0003101},
  year   = {2007}
}

Comments

LaTeX, 10 pages. Minor changes in the typesetting and references

R2 v1 2026-07-22T19:27:27.207Z