Hiding Quantum Data
Abstract
Recent work has shown how to use the laws of quantum mechanics to keep classical and quantum bits secret in a number of different circumstances. Among the examples are private quantum channels, quantum secret sharing and quantum data hiding. In this paper we show that a method for keeping two classical bits hidden in any such scenario can be used to construct a method for keeping one quantum bit hidden, and vice--versa. In the realm of quantum data hiding, this allows us to construct bipartite and multipartite hiding schemes for qubits from the previously known constructions for hiding bits. Our method also gives a simple proof that two bits of shared randomness are required to construct a private quantum channel hiding one qubit.
Cite
@article{arxiv.quant-ph/0207147,
title = {Hiding Quantum Data},
author = {David P. DiVincenzo and Patrick Hayden and Barbara M. Terhal},
journal= {arXiv preprint arXiv:quant-ph/0207147},
year = {2007}
}
Comments
13 pages + 2 figs, submitted to 'David Mermin Festschrift' in Foundations of Physics