A Trade-Off Between Path Entanglement and Quantum Sensitivity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866908337054941184 |
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| author | Lou, Benjamin Loughlin, Hudson A. Mavalvala, Nergis |
| author_facet | Lou, Benjamin Loughlin, Hudson A. Mavalvala, Nergis |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_18832 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Trade-Off Between Path Entanglement and Quantum Sensitivity Lou, Benjamin Loughlin, Hudson A. Mavalvala, Nergis Quantum Physics Atomic Physics Optics 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. |
| title | A Trade-Off Between Path Entanglement and Quantum Sensitivity |
| topic | Quantum Physics Atomic Physics Optics |
| url | https://arxiv.org/abs/2411.18832 |