15 February 2010 Quantum Cramer-Rao bound and parity measurement
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Abstract
We show, by using parity detection, that the phase estimate obtained from the linear error propagation formula, indeed saturates the lower bound set by maximizing quantum Fisher information for several of the well-known states, proposed for the Heisenberg limited interferometry. Our results show that one can achieve the quantum Cram´er-Rao bound, by simply counting the number of photons which is not very far from actual realization.
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Aravind Chiruvelli, Aravind Chiruvelli, Hwang Lee, Hwang Lee, } "Quantum Cramer-Rao bound and parity measurement", Proc. SPIE 7611, Advances in Photonics of Quantum Computing, Memory, and Communication III, 76110S (15 February 2010); doi: 10.1117/12.842817; https://doi.org/10.1117/12.842817
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