Observation of non-classical correlations in sequential measurements of photon polarization

A sequential measurement of two non-commuting quantum observables results in a joint probability distribution for all output combinations that can be explained in terms of an initial joint quasi-probability of the non-commuting observables, modified by the resolution errors and back-action of the in...

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Published inNew journal of physics Vol. 18; no. 10; pp. 103045 - 103057
Main Authors Suzuki, Yutaro, Iinuma, Masataka, Hofmann, Holger F
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 25.10.2016
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Abstract A sequential measurement of two non-commuting quantum observables results in a joint probability distribution for all output combinations that can be explained in terms of an initial joint quasi-probability of the non-commuting observables, modified by the resolution errors and back-action of the initial measurement. Here, we show that the error statistics of a sequential measurement of photon polarization performed at different measurement strengths can be described consistently by an imaginary correlation between the statistics of resolution and back-action. The experimental setup was designed to realize variable strength measurements with well-controlled imaginary correlation between the statistical errors caused by the initial measurement of diagonal polarizations, followed by a precise measurement of the horizontal/vertical polarization. We perform the experimental characterization of an elliptically polarized input state and show that the same complex joint probability distribution is obtained at any measurement strength.
AbstractList A sequential measurement of two non-commuting quantum observables results in a joint probability distribution for all output combinations that can be explained in terms of an initial joint quasi-probability of the non-commuting observables, modified by the resolution errors and back-action of the initial measurement. Here, we show that the error statistics of a sequential measurement of photon polarization performed at different measurement strengths can be described consistently by an imaginary correlation between the statistics of resolution and back-action. The experimental setup was designed to realize variable strength measurements with well-controlled imaginary correlation between the statistical errors caused by the initial measurement of diagonal polarizations, followed by a precise measurement of the horizontal/vertical polarization. We perform the experimental characterization of an elliptically polarized input state and show that the same complex joint probability distribution is obtained at any measurement strength.
Author Hofmann, Holger F
Suzuki, Yutaro
Iinuma, Masataka
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SubjectTerms 03.65.Ta
Correlation analysis
Error analysis
Horizontal polarization
non-classical correlations
non-commuting observables
photon polarization
Photons
Physics
Probability distribution
quantum measurement
quantum state reconstruction
Statistical analysis
Vertical polarization
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Title Observation of non-classical correlations in sequential measurements of photon polarization
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