Encoding and decoding in complementary bases with quantum gates

Author(s)
Caslav Brukner, Anton Zeilinger
Abstract

The total information content of a composite system consisting of k qubits can either be completely encoded in a specific computational basis, or alternatively it can be partially encoded in a number of different bases. In that case the information encoded in a complete set of mutually complementary bases is again k bits. Using only two single-qubit gates and the controlled-NOT gate, one can implement coding and decoding in such a complete set. The total information content is then invariant under the particular choice of a complete set of mutually complementary bases. For maximally entangled states the k bits of information are not encoded into the k qubits separately but only into their joint properties. Œ 2000 Taylor & Francis Ltd.

Organisation(s)
Journal
Journal of Modern Optics
Volume
47
Pages
2233-2246
No. of pages
14
ISSN
0950-0340
DOI
https://doi.org/10.1080/09500340008235145
Publication date
2000
Peer reviewed
Yes
Austrian Fields of Science 2012
103026 Quantum optics
Portal url
https://ucrisportal.univie.ac.at/en/publications/9e5f659f-0a8c-499a-a63b-a718b64ed87a