Adapted-operator representations: Selective versus collective properties of quantum networks

Details Adapted-operator representations: Selective versus collective properties of quantum networks Adapted-operator representations: Selective versus collective properties of quantum networks

2001-01-30

arxiv.org/abs/quant-ph/0101138v1

Phys. Rev. A 62, 012303 (2000)

Physics

Quantum Physics

17 pages

Scientific paper

10.1103/PhysRevA.62.012303

Based on local unitary operators acting on a n-dimensional Hilbert-space, we investigate selective and collective operator basis sets for N-particle quantum networks. Selective cluster operators are used to derive the properties of general cat-states for any n and N. Collective operators are conveniently used to account for permutation symmetry: The respective Hilbert-space dimension is then only polynomial in N and governed by strong selection rules. These selection rules can be exploited for the design of decoherence-free subspaces as well as for the implementation of efficient routes to entanglement if suspended switching between states of different symmetry classes could be realized.

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