Complementarity and the algebraic structure of 4-level quantum systems
arXiv:0802.2391 · doi:10.1088/1742-6596/143/1/012011
Abstract
The history of complementary observables and mutual unbiased bases is reviewed. A characterization is given in terms of conditional entropy of subalgebras. The concept of complementarity is extended to non-commutative subalgebras. Complementary decompositions of a 4-level quantum system are described and a characterization of the Bell basis is obtained.
19 pages
References in corpus (8)
- Optimal eavesdropping in quantum cryptography with six states
- A new type of complementarity between quantum and classical information
- Complementarity in quantum systems
- The complementarity of quantum observables: theory and experiment
- Complementary reductions for two qubits
- Point Estimation of States of Finite Quantum Systems
- State tomography for two qubits using reduced densities
- Complementarity and the algebraic structure of 4-level quantum systems