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 in | New journal of physics Vol. 18; no. 10; pp. 103045 - 103057 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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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. |
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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 |
Author_xml | – sequence: 1 givenname: Yutaro surname: Suzuki fullname: Suzuki, Yutaro email: yutaro-s@huhep.org organization: Hiroshima University Graduate school of Advanced Sciences of Matter, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8530, Japan – sequence: 2 givenname: Masataka surname: Iinuma fullname: Iinuma, Masataka organization: Hiroshima University Graduate school of Advanced Sciences of Matter, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8530, Japan – sequence: 3 givenname: Holger F surname: Hofmann fullname: Hofmann, Holger F organization: Hiroshima University Graduate school of Advanced Sciences of Matter, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8530, Japan |
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Cites_doi | 10.1103/PhysRevA.84.042121 http://dx.doi.org/10.1073/pnas.18.11.674 10.1088/1367-2630/13/10/103009 10.1103/PhysRevA.91.012113 10.1103/RevModPhys.81.299 10.1103/PhysRevLett.116.040502 10.1103/PhysRevLett.112.070405 10.1103/PhysRevLett.104.240401 10.1103/PhysRev.40.749 10.1103/PhysRev.44.31 10.1103/PhysRevA.67.042105 10.1103/PhysRevA.93.032104 10.1103/PhysRevLett.60.1351 10.1088/1367-2630/14/10/103022 10.1088/1367-2630/16/6/063056 10.1038/ncomms5492 10.1088/1367-2630/11/3/033011 10.1103/PhysRevA.63.042106 10.1103/PhysRevA.76.012119 10.1103/PhysRevA.92.042113 10.1103/PhysRevA.89.022106 10.1088/1367-2630/14/4/043031 10.1103/PhysRevLett.102.020404 10.1103/PhysRevA.91.062123 10.1140/epjd/e2016-70086-8 10.1103/PhysRevLett.113.200401 10.1103/RevModPhys.17.195 10.1103/PhysRevA.62.013806 10.1103/PhysRevA.91.052109 10.1088/1367-2630/13/3/033041 10.1038/nphoton.2013.24 10.1103/PhysRevLett.111.160405 10.1103/PhysRevLett.108.070402 10.1103/PhysRevA.89.042115 |
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References | 22 24 26 28 29 Yokota K (31) 2009; 11 Hofmann H F (20) 2014; 16 30 10 32 11 33 12 34 13 14 16 17 18 19 Suzuki Y (23) 2012; 14 Hofmann H F (15) 2012; 14 1 2 3 Iinuma M (25) 2011; 13 4 5 6 7 8 9 Hofmann H F (27) 2011; 13 21 |
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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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