A Trade-Off Between Path Entanglement and Quantum Sensitivity

Kavli Affiliate: Nergis Mavalvala

| First 5 Authors: Benjamin Lou, Hudson A. Loughlin, Nergis Mavalvala, ,

| Summary:

Entanglement often increases quantum measurement schemes’ sensitivity.
However, we find that in precision measurements with zero-mean Gaussian states,
such as squeezed states, entanglement between different paths degrades
measurement sensitivity. We prove an inverse relationship between entanglement
entropy and sensitivity for measurements of single-mode phase shifts in
multimode systems and for phase shifts on both modes in two-mode systems. In
the two-mode case, which models devices such as interferometers, we find that
entanglement strongly degrades differential phase sensitivity. Finally, we show
that minimizing entanglement between paths maximizes the phase sensitivity of
$N$-mode systems with zero-mean Gaussian state inputs.

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