dorsal/arxiv
View SchemaLoss-Induced Limits to Phase Measurement Precision with Maximally Entangled States
| Authors | Mark A. Rubin, Sumanth Kaushik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612080 |
| URL | https://arxiv.org/abs/quant-ph/0612080 |
| DOI | 10.1103/PhysRevA.75.053805 |
| Journal | Phys. Rev. A 75 (2007) 053805 |
Abstract
The presence of loss limits the precision of an approach to phase measurement using maximally entangled states, also referred to as NOON states. A calculation using a simple beam-splitter model of loss shows that, for all nonzero values L of the loss, phase measurement precision degrades with increasing number N of entangled photons for N sufficiently large. For L above a critical value of approximately 0.785, phase measurement precision degrades with increasing N for all values of N. For L near zero, phase measurement precision improves with increasing N down to a limiting precision of approximately 1.018 L radians, attained at N approximately equal to 2.218/L, and degrades as N increases beyond this value. Phase measurement precision with multiple measurements and a fixed total number of photons N_T is also examined. For L above a critical value of approximately 0.586, the ratio of phase measurement precision attainable with NOON states to that attainable by conventional methods using unentangled coherent states degrades with increasing N, the number of entangled photons employed in a single measurement, for all values of N. For L near zero this ratio is optimized by using approximately N=1.279/L entangled photons in each measurement, yielding a precision of approximately 1.340 sqrt(L/N_T) radians.
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"abstract": "The presence of loss limits the precision of an approach to phase measurement\nusing maximally entangled states, also referred to as NOON states. A\ncalculation using a simple beam-splitter model of loss shows that, for all\nnonzero values L of the loss, phase measurement precision degrades with\nincreasing number N of entangled photons for N sufficiently large. For L above\na critical value of approximately 0.785, phase measurement precision degrades\nwith increasing N for all values of N. For L near zero, phase measurement\nprecision improves with increasing N down to a limiting precision of\napproximately 1.018 L radians, attained at N approximately equal to 2.218/L,\nand degrades as N increases beyond this value. Phase measurement precision with\nmultiple measurements and a fixed total number of photons N_T is also examined.\nFor L above a critical value of approximately 0.586, the ratio of phase\nmeasurement precision attainable with NOON states to that attainable by\nconventional methods using unentangled coherent states degrades with increasing\nN, the number of entangled photons employed in a single measurement, for all\nvalues of N. For L near zero this ratio is optimized by using approximately\nN=1.279/L entangled photons in each measurement, yielding a precision of\napproximately 1.340 sqrt(L/N_T) radians.",
"arxiv_id": "quant-ph/0612080",
"authors": [
"Mark A. Rubin",
"Sumanth Kaushik"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.053805",
"journal_ref": "Phys. Rev. A 75 (2007) 053805",
"title": "Loss-Induced Limits to Phase Measurement Precision with Maximally Entangled States",
"url": "https://arxiv.org/abs/quant-ph/0612080"
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