Energy Measurements and Preparation of Canonical Phase States of a Nano-Mechanical Resonator

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We show that a continuous quantum non-demolition measurement of the energy of a nanomechanical resonator can be achieved by monitoring the resonator with a quantum point contact via a Cooper-pair box. This technique can further be used to prepare highly non-classical states of two resonators, such as canonical phase-reference states, and so-called "noon" states.
4 pages, revtex 4, 3 eps figures. v2: improvements to presentation

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