Symmetry considerations in quantum computing
A. Nepomuk Otte · AIP conference proceedings · 2000
A quantum computer is, if realized, the ultimate machine for completely controlling a quantum-mechanical system. This control enables one to prepare any arbitrary state of the Hilbert space and to determine by will its time evolution. From this point of view, the realization of quantum states with unusual symmetries seems to be possible by the use of such quantum information processing devices. On the other hand, symmetry arguments can be used to gain more insight in such a quantum network consisting of identical qubits and they can even further lead to error prevention codes by identifying decoherence free subspaces. By introducing a collective operator description for quantum networks, we show how to describe ensemble systems using a reduced set of parameters. Further we want to point out some connections between quantum computers and symmetry considerations.