• Photonics Research
  • Vol. 7, Issue 7, A27 (2019)
D. Curic1、2、*, L. Giner1, and J. S. Lundeen1
Author Affiliations
  • 1Department of Physics and Centre for Research in Photonics, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada
  • 2Current address: Department of Physics and Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada
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    DOI: 10.1364/PRJ.7.000A27 Cite this Article Set citation alerts
    D. Curic, L. Giner, J. S. Lundeen. High-dimension experimental tomography of a path-encoded photon quantum state[J]. Photonics Research, 2019, 7(7): A27 Copy Citation Text show less
    References

    [1] M. G. Paris, M. F. Sacchi. Quantum tomagraphy. Advanced Imaging and Electron Physics, 128, 206-309(2003).

    [2] J. Lundeen, A. Feito, H. Coldenstrodt-Ronge, K. Pregnell, C. Silberhorn, T. Ralph, J. Eisert, M. Plenio, I. Walmsley. Tomography of quantum detectors. Nat. Phys., 5, 27-30(2009).

    [3] D. F. James, P. G. Kwiat, W. J. Munro, A. G. White. On the measurement of qubits. Asymptotic Theory of Quantum Statistical Inference: Selected Papers, 509-538(2005).

    [4] L. Rippe, B. Julsgaard, A. Walther, Y. Ying, S. Kröll. Experimental quantum-state tomography of a solid-state qubit. Phys. Rev. A, 77, 022307(2008).

    [5] G. M. D’Ariano, C. Macchiavello, M. G. Paris. A fictitious photons method for tomographic imaging. Opt. Commun., 129, 6-12(1996).

    [6] G. J. Milburn. Quantum optical Fredkin gate. Phys. Rev. Lett., 62, 2124-2127(1989).

    [7] M. Reck, A. Zeilinger, H. J. Bernstein, P. Bertani. Experimental realization of any discrete unitary operator. Phys. Rev. Lett., 73, 58-61(1994).

    [8] H. Bechmann-Pasquinucci, W. Tittel. Quantum cryptography using larger alphabets. Phys. Rev. A, 61, 062308(2000).

    [9] B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, A. G. White. Simplifying quantum logic using higher-dimensional Hilbert spaces. Nat. Phys., 5, 134-140(2009).

    [10] J. C. Matthews, A. Politi, A. Stefanov, J. L. O’brien. Manipulation of multiphoton entanglement in waveguide quantum circuits. Nat. Photonics, 3, 346-350(2009).

    [11] W. R. Clements, P. C. Humphreys, B. J. Metcalf, W. S. Kolthammer, I. A. Walmsley. Optimal design for universal multiport interferometers. Optica, 3, 1460-1465(2016).

    [12] B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, B. J. Smith, N. K. Langford, P. G. R. Smith, I. A. Walmsley. Multiphoton quantum interference in a multiport integrated photonic device. Nat. Commun., 4, 1356(2013).

    [13] A. Peruzzo, A. Laing, A. Politi, T. Rudolph, J. L. O’brien. Multimode quantum interference of photons in multiport integrated devices. Nat. Commun., 2, 224(2011).

    [14] C. Bamber, J. S. Lundeen. Observing Dirac’s classical phase space analog to the quantum state. Phys. Rev. Lett., 112, 070405(2014).

    [15] D. McAlister, M. Beck, L. Clarke, A. Mayer, M. Raymer. Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms. Opt. Lett., 20, 1181-1183(1995).

    [16] B. Stoklasa, L. Motka, J. Rehacek, Z. Hradil, L. Sánchez-Soto. Wavefront sensing reveals optical coherence. Nat. Commun., 5, 3275(2014).

    [17] B. J. Smith, B. Killett, M. Raymer, I. Walmsley, K. Banaszek. Measurement of the transverse spatial quantum state of light at the single-photon level. Opt. Lett., 30, 3365-3367(2005).

    [18] K. H. Kagalwala, H. E. Kondakci, A. F. Abouraddy, B. E. Saleh. Optical coherency matrix tomography. Sci. Rep., 5, 15333(2015).

    [19] M. A. Horne, A. Shimony, A. Zeilinger. Two-particle interferometry. Phys. Rev. Lett., 62, 2209-2212(1989).

    [20] C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, O. Gühne. Systematic errors in current quantum state tomography tools. Phys. Rev. Lett., 114, 080403(2015).

    [21] G. B. Silva, S. Glancy, H. M. Vasconcelos. Investigating bias in maximum-likelihood quantum-state tomography. Phys. Rev. A, 95, 022107(2017).

    [22] Z. Hradil, D. Mogilevtsev, J. Řeháček. Biased tomography schemes: an objective approach. Phys. Rev. Lett., 96, 230401(2006).

    [23] P. Erdös, P. Turán. On a problem of sidon in additive number theory, and on some related problems. J. London Math. Soc., s1-16, 212-215(1941).

    [24] J. P. Robinson. Optimum Golomb rulers. IEEE Trans. Comput., C-28, 943-944(1979).

    [25] L. E. Kopilovich. Construction of non-redundant antenna configurations on square and hexagonal grids of a large size. Exp. Astron., 36, 425-430(2013).

    CLP Journals

    [1] Xian-Min Jin, M. S. Kim, Brian J. Smith. Quantum photonics: feature introduction[J]. Photonics Research, 2019, 7(12): QP1

    D. Curic, L. Giner, J. S. Lundeen. High-dimension experimental tomography of a path-encoded photon quantum state[J]. Photonics Research, 2019, 7(7): A27
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