click statistics from on-off detector systems

[Su-Yong Lee]

This paper is about the statistics by the on-off detector. Photon number resolving (PNR) detectors are not directly available, such that it is required to use on-off detectors.
Based on the on-off detection, the authors introduced the modified type of Mandel Q-factor.

Can we derive the information flow from PNR detectors to on-off detectors?

[Jiyong Park]

What do you mean by the information flow?

In this paper, the authors show that the binomial Q parameter is useful to witness the nonclassicality of arbitrary single-mode state with on-off detectors. The "deformed" photon number statistics can be more useful than the "true" one. WOW! It's contrary to my first intuition. I guess that one of the reasons might be the fact that the photon number statistics doesn't contain the "full" information of the state.

Can we extend this idea to the two-mode states? Can the "deformed" photon number correlations measured with on-off detectors can be more useful than the "true" photon number correlations measured with photon number resolving detectors? I think that the entanglement criteria used in the following paper can be a good candidate for the first try.

Phys. Rev. Lett. 107, 250401 (2011) Coarse Graining Makes It Hard to See Micro-Macro Entanglement

2012년 8월 6일 월요일 오후 9시 15분 14초 UTC+9, Su-Yong Lee 님의 말:

[Changsuk Noh]

Is this somehow related to the 'Fake violation of Bell..' paper by Semenov and Vogel introduced in the first post?

As the number of on-ff detector increases, the on-off result goes to the PNR result. Is this what you had in mind Suyong?

Weighted detectors would give rise to other distributions. Would some of these be more useful than the on-off detector? What

is the principle behind their finding? Do they get better result because the binomial distribution favors lower photons numbers,

or perhaps the opposite? 

[Su-Yong Lee]

When we use on-off detectors instead of PNR detectors, we would lose some information on the object. In the sense, we could quantify the loss of the information by on-off detectors.

[Su-Yong Lee]

It could be in the middle of the process from on-off detection to PNR detection.
Is it useful on Bell inequality test or something else?

[Jiyong Park]

When x ≥ 0, y ≥ 0, and x + y ≤ 1, ( x + y ) log ( x + y ) - x log x - y log y ≥ 0.

In other words, f ( x ) = - x log x is sub-additive. From this property, we can easily find that a coarse-grained particle number measurement, e.g. on-off detection, gives us less information than a fine-grained particle number measurement, e.g. photon number resolving detection.

2012년 8월 7일 화요일 오후 9시 6분 58초 UTC+9, Su-Yong Lee 님의 말: