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Biphoton ququarts as either pure or mixed states, features and reconstruction from coincidence measurements

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Abstract

Features of biphoton polarization-frequency ququarts are considered. Their wave functions are defined as functions of both polarization and frequency variables of photons with the symmetry obligatory for two-boson states taken into account. In experiments, biphoton ququarts can display different features in dependence on whether experiments involve purely polarization or (alternatively) polarization-frequency measurements. If in experiments one uses only polarization measurements, the originally pure states of ququarts can be seen as mixed biphoton polarization states. Features of such states are described and discussed in details. Schemes of coincidence measurements for reconstruction of the ququart’s parameters are suggested and described.

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References

  1. Y.I. Bogdanov, E.V. Moreva, G.A. Maslennikov, R.F. Galeev, S.S. Straupe, S.P. Kulik, Phys. Rev. A 73, 063810 (2006)

    Article  ADS  Google Scholar 

  2. M.V. Fedorov et al., New J. Phys. 13, 083004 (2011)

    Article  ADS  Google Scholar 

  3. M.V. Fedorov, P.A. Volkov, Yu.M. Mikhailova, Phys. Rev. A 84, 032335 (2011)

    Article  ADS  Google Scholar 

  4. S.S. Schweber, An Introduction to Relativistic Quantum Field Theory (Row, Peterson and Co, Evaston, IL, Elmsford, NY, USA, 1961), Section 6, equation (34)

  5. D.N. Klyshko, JETP 84, 1065 (1997)

    Article  ADS  Google Scholar 

  6. V. Vedral, M.B. Plenio, Phys. Rev. A 57, 1619 (1998)

    Article  ADS  Google Scholar 

  7. S. Hamieh, J. Qi, D. Simonovich, M.K. Ali, Phys. Rev. A 67, 014301 (2003)

    Article  ADS  Google Scholar 

  8. S. Oh, J. Kim, Phys. Rev. A 69, 054305 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  9. Yu.I. Bogdanov, L.A. Krivitsky, S.P. Kulik, JETP Lett. 78, 804 (2003)

    Article  Google Scholar 

  10. Yu.I. Bogdanov, M.V. Chekhova, S.P. Kulik, G.A. Maslennikov, M.K. Tey, C.Ch. Oh, Phys. Rev. Lett. 93, 230503 (2004)

    Article  ADS  Google Scholar 

  11. M.V. Fedorov, P.A. Volkov, J.M. Mikhailova, JETP 115, 15 (2012)

    Article  ADS  Google Scholar 

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Correspondence to Mikhail Fedorov.

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Fedorov, M. Biphoton ququarts as either pure or mixed states, features and reconstruction from coincidence measurements. Eur. Phys. J. D 67, 100 (2013). https://doi.org/10.1140/epjd/e2013-30579-6

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  • DOI: https://doi.org/10.1140/epjd/e2013-30579-6

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