Multiparameter estimation with single photons

17 Jun 2017  ·  You Chenglong, Adhikari Sushovit, Chi Yuxi, LaBorde Margarite L., Matyas Corey T., Zhang Chenyu, Su Zuen, Byrnes Tim, Lu Chaoyang, Dowling Jonathan P., Olson Jonathan P. ·

It was suggested in Ref. [Phys... Rev. Lett. 114, 170802] that optical networks with relatively inexpensive overhead---single photon Fock states, passive optical elements, and single photon detection---can show significant improvements over classical strategies for single-parameter estimation, when the number of modes in the network is small (n < 7). A similar case was made in Ref. [Phys. Rev. Lett. 111, 070403] for multi-parameter estimation, where measurement is instead made using photon-number resolving detectors. In this paper, we analytically compute the quantum Cram\'er-Rao bound to show these networks can have a constant-factor quantum advantage in multi-parameter estimation for even large number of modes. Additionally, we provide a simplified measurement scheme using only single-photon (on-off) detectors that is capable of approximately obtaining this sensitivity for a small number of modes. read more

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Quantum Physics