01817085

j

01817085 Brukner, \v{C}aslav Zeilinger, Anton Encoding and decoding in complementary bases with quantum gates. J. Mod. Opt. 47, No.12, 2233-2246 (2000). 2000 Taylor \& Francis, London EN total information two single-qubit gates and the controlled-NOT coding and decoding maximally entangled states

doi:10.1080/09500340008235145

Summary: 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.