2016
DOI: 10.1103/physrevlett.117.190802
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Abstract: We determine the ultimate potential of quantum imaging for boosting the resolution of a far-field, diffractionlimited, linear imaging device within the paraxial approximation. First we show that the problem of estimating the separation between two point-like sources is equivalent to the estimation of the loss parameters of two lossy bosonic channels, i.e., the transmissivities of two beam splitters. Using this representation, we establish the ultimate precision bound for resolving two point-like sources in an … Show more

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Cited by 156 publications
(179 citation statements)
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“…The study of two-source transverse localization can also be generalized to sources emitting light in more general quantum states, as in ref. [22]. In principle, it can also be extended to multiple sources, although finding nearoptimal measurement schemes is likely to be challenging.…”
Section: Discussion and Outlookmentioning
confidence: 99%
“…The study of two-source transverse localization can also be generalized to sources emitting light in more general quantum states, as in ref. [22]. In principle, it can also be extended to multiple sources, although finding nearoptimal measurement schemes is likely to be challenging.…”
Section: Discussion and Outlookmentioning
confidence: 99%
“…Recent research, initiated by our group [1][2][3][4][5][6][7], has shown that far-field linear optical methods can significantly improve the resolution of two equally bright incoherent optical point sources with sub-Rayleigh separations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], overcoming previously established statistical limits [16][17][18][19]. The rapid experimental demonstrations [12][13][14][15] have heightened the promise of our approach.…”
Section: Introductionmentioning
confidence: 99%
“…Entangled probes, however, can realize the Heisenberg limit (HL) [2,3], viz., an rms estimation error that is proportional to 1/M [2][3][4][5][6][7]. SQL vs HL behavior for single-parameter estimation can arise, e.g., in measuring time delays [5], point-source separations [8][9][10][11], displacements [12][13][14], or magnetic fields [15].Significant complications occur, in the independent, identical interactions setting, when there are multiple unknown parameters [12][13][14][15]. In particular, if these parameters are associated with noncommuting observables, then the uncertainty principle would seem to forbid obtaining unlimited simultaneous knowledge of them from a single returned probe [16][17][18][19][20][21][22].…”
mentioning
confidence: 99%