Distributed Quantum Metrology with a Single Squeezed-Vacuum Source

Abstract

We propose an interferometric scheme for the estimation of a linear combination with non-negative weights of an arbitrary number $M>1$ of unknown phase delays, distributed across an $M$-channel linear optical network, with Heisenberg-limited sensitivity. This is achieved without the need of any sources of photon-number or entangled states, photon-number resolving detectors or auxiliary interferometric channels. Indeed, the proposed protocol remarkably relys upon a single squeezed state source, an antisqueezing operation at the interferometer output, and on-off photodetectors.

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• Heisenberg scaling precision in the estimation of functions of parameters
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• Typicality of Heisenberg scaling precision in multi-mode quantum metrology
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