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. Π2000 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://ucris.univie.ac.at/portal/en/publications/encoding-and-decoding-in-complementary-bases-with-quantum-gates(9e5f659f-0a8c-499a-a63b-a718b64ed87a).html