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Heisenberg scaling with classical long-range correlations

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arxiv 1708.09361 v2 pith:VUPEQFLF submitted 2017-08-30 quant-ph

Heisenberg scaling with classical long-range correlations

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keywords scalingclassicalheisenbergcorrelationslong-rangenumbersitesamplitude
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The Heisenberg scaling is typically associated with nonclassicality and entanglement. In this work, however, we discuss how classical long-range correlations between lattice sites in many-body systems may lead to a 1/N scaling in precision with the number of probes. In particular, we show that networks of coupled single qubit lasers can be mapped onto a classical XY model, and a Heisenberg scaling with the number of sites appears when estimating the amplitude and phase of a weak periodic driving field.

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