Relative states, quantum axes, and quantum references

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We address the problem of measuring the relative angle between two "quantum axes" made out of N1 and N2 spins. Closed forms of our fidelitylike figure of merit are obtained for an arbitrary number of parallel spins. The asymptotic regimes of large N1 and/or N2 are discussed in detail. The extension of the concept "quantum axis" to more general situations is addressed. We give optimal strategies when the first quantum axis is made out of parallel spins whereas the second is a general state made out of two spins. © 2006 The American Physical Society.
Original languageEnglish
Article number022341
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Publication statusPublished - 3 Mar 2006


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