dorsal/arxiv
View SchemaOn the use of photonic N00N states for practical quantum interferometry
| Authors | G. Gilbert, M. Hamrick, Y. S. Weinstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612156 |
| URL | https://arxiv.org/abs/quant-ph/0612156 |
| Journal | JOSA B, Vol. 25, Issue 8, pp. 1336-1340, 2008 |
Abstract
The performance of photonic $N00N$ states, propagating in an attenuating medium, is analyzed with respect to phase estimation. It is shown that, for $N00N$ states propagating through a lossy medium, the Heisenberg limit is never achieved. It is also shown that, for a given value of $N$, a signal comprised of an attenuated separable state of $N$ photons will actually produce a better phase estimate than will a signal comprised of an equally attenuated $N00N$ state, unless the transmittance of the medium is very high. This is a consequence of the need to utilize measurement operators appropriate to the different signal states. The result is that, for most practical applications in realistic scenarios with attenuation, the resolution of $N00N$ state-based phase estimation not only does not achieve the Heisenberg Limit, but is actually worse than the Standard Quantum Limit. It is demonstrated that this performance deficit becomes more pronounced as the number, $N$, of photons in the signal increases.
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"abstract": "The performance of photonic $N00N$ states, propagating in an attenuating\nmedium, is analyzed with respect to phase estimation. It is shown that, for\n$N00N$ states propagating through a lossy medium, the Heisenberg limit is never\nachieved. It is also shown that, for a given value of $N$, a signal comprised\nof an attenuated separable state of $N$ photons will actually produce a better\nphase estimate than will a signal comprised of an equally attenuated $N00N$\nstate, unless the transmittance of the medium is very high. This is a\nconsequence of the need to utilize measurement operators appropriate to the\ndifferent signal states. The result is that, for most practical applications in\nrealistic scenarios with attenuation, the resolution of $N00N$ state-based\nphase estimation not only does not achieve the Heisenberg Limit, but is\nactually worse than the Standard Quantum Limit. It is demonstrated that this\nperformance deficit becomes more pronounced as the number, $N$, of photons in\nthe signal increases.",
"arxiv_id": "quant-ph/0612156",
"authors": [
"G. Gilbert",
"M. Hamrick",
"Y. S. Weinstein"
],
"categories": [
"quant-ph"
],
"journal_ref": "JOSA B, Vol. 25, Issue 8, pp. 1336-1340, 2008",
"title": "On the use of photonic N00N states for practical quantum interferometry",
"url": "https://arxiv.org/abs/quant-ph/0612156"
},
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