A Trade-Off Between Path Entanglement and Quantum Sensitivity

• URL: http://arxiv.org/abs/2411.18832v1
• Date: Thu, 28 Nov 2024 00:33:13 GMT
• Title: A Trade-Off Between Path Entanglement and Quantum Sensitivity
• Authors: Benjamin Lou, Hudson A. Loughlin, Nergis Mavalvala,
• Abstract summary: Entanglement often increases quantum measurement schemes' sensitivity. We prove an inverse relationship between entanglement entropy and sensitivity for measurements of single-mode phase shifts. 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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• Abstract: 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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