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Discrimination between Non‐orthogonal Two‐photon Polarization States
Author(s) -
Herzog Ulrike
Publication year - 2001
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200110)49:10/11<981::aid-prop981>3.0.co;2-f
Subject(s) - polarization (electrochemistry) , photon , orthogonal polarization spectral imaging , physics , probability of error , quantum mechanics , mathematics , optics , algorithm , chemistry , laser
It is shown that generalized measurements, required for optimally discriminating between non‐orthogonal joint polarization states of two indistinguishable photons, can be realized with the help of polarization‐dependent two‐photon absorption and by means of sum‐frequency generation. Optimization schemes are investigated with respect to minimizing the error probability in inferring the states, as well as with respect to maximizing the probability of success for unambiguous discrimination. Moreover, an implementation of error‐minimizing discrimination between N symmetric single‐photon states is studied. The latter can be used to extract information from the inconclusive results occurring in unambiguous discrimination between three symmetric two‐photon polarization states.