Abstract

Discriminating between Fock states with a high degree of accuracy is a desirable feature for modern applications of optical quantum information processing. A well-known alternative to sophisticated photon number discriminating detectors is to split the field among a number of simple on/off detectors and infer the desired quantity from the measurement results. In this work we find an explicit analytical expression of the detection probability for any number of input photons, any number of on/off detectors, and we include quantum efficiency and a false count probability. This allows us to explicitly invert the conditional probability using Bayes’ theorem and express the number of photons that we had at the input in the most unbiased way possible with ready-to-use formulas. We conclude with some examples.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Quantum vampire: collapse-free action at a distance by the photon annihilation operator

Ilya A. Fedorov, Alexander E. Ulanov, Yury V. Kurochkin, and A. I. Lvovsky
Optica 2(2) 112-115 (2015)

Nonlinearity in single photon detection: modeling and quantum tomography

Mohsen K. Akhlaghi, A. Hamed Majedi, and Jeff S. Lundeen
Opt. Express 19(22) 21305-21312 (2011)

Experimental generation of multi-photon Fock states

Merlin Cooper, Laura J. Wright, Christoph Söller, and Brian J. Smith
Opt. Express 21(5) 5309-5317 (2013)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (18)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription