Experimental investigation of a multi-photon Heisenberg-limited interferometric scheme: the effect of imperfections
arXiv:2402.19079 · doi:10.1103/PhysRevA.110.012614
Abstract
Interferometric phase estimation is an essential tool for precise measurements of quantities such as displacement, velocity and material properties. The lower bound on measurement uncertainty achievable with classical resources is set by the shot-noise limit (SNL) that scales asymptotically as , where is the number of resources used. The experiment of [S. Daryanoosh et al., Nat. Commun. , 4606 (2018)] showed how to achieve the ultimate precision limit, the exact Heisenberg limit (HL), in ab-initio phase estimation with photon-passes, using an entangled biphoton state in combination with particular measurement techniques. The advantage of the HL over the SNL increases with the number of resources used. Here we present, and implement experimentally, a scheme for generation of the optimal triphoton state. We study experimentally and theoretically the generated state quality and its potential for phase estimation. We show that the expected usefulness of the prepared triphoton state for HL phase estimation is significantly degraded by even quite small experimental imperfections, such as optical mode mismatch and unwanted higher-order multi-photon terms in the states produced in parametric down-conversion.
arXiv comment16 pages, 10 figures (unable to contact one of the authors; revised the author list and acknowledgement)
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