Optimal state for keeping reference frames aligned and the Platonic solids

Details Optimal state for keeping reference frames aligned and the Platonic solids Optimal state for keeping reference frames aligned and the Platonic solids

2008-05-23

arxiv.org/abs/0805.3637v3

Phys. Rev. A 78, 052333 (2008)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.78.052333

The optimal N qubit states featuring highest sensitivity to small misalignment of cartesian reference frames are found using the Quantum Cramer-Rao bound. It is shown that the optimal states are supported on the symmetric subspace and hence are mathematically equivalent to a single spin J=N/2. Majorana representation of spin states is used to reveal a beautiful connection between the states optimal for aligning reference frames and the platonic solids.

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