Abstract

Resources for the manipulation and measurement of high-dimensional photonic signals are crucial for implementing qudit-based applications. Here we propose potentially high-performance, chip-compatible devices for such purposes by exploiting quantum frequency conversion in nonlinear optical media. Specifically, by using sum-frequency generation in a χ(2) waveguide, we show how mode-resolved photon counting can be accomplished for telecom-band photonic signals subtending multiple temporal modes. Our method is generally applicable to any nonlinear medium with arbitrary dispersion properties.

© 2013 Optical Society of America

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  1. C. Brukner, M. Żukowski, and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
    [CrossRef]
  2. A. Grudka and A. Wójcik, Phys. Rev. A 66, 014301(2002).
    [CrossRef]
  3. J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
    [CrossRef]
  4. A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
    [CrossRef]
  5. P. Kumar, Opt. Lett. 15, 1476 (1990).
    [CrossRef]
  6. A. Eckstein, B. Brecht, and C. Silberhorn, Opt. Express 19, 13770 (2011).
    [CrossRef]
  7. C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
    [CrossRef]
  8. L. Ma, O. Slattery, and X. Tang, Opt. Express 17, 14395 (2009).
    [CrossRef]
  9. M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
    [CrossRef]
  10. M. Vasilyev and P. Kumar, Opt. Express 20, 6644(2012).
    [CrossRef]
  11. J. Shapiro, IEEE J. Sel. Top. Quantum Electron. 15, 1547 (2009).
    [CrossRef]
  12. C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
    [CrossRef]
  13. Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 82, 043826 (2010).
    [CrossRef]
  14. Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 84, 033844 (2011).
    [CrossRef]
  15. M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
    [CrossRef]

2012 (3)

C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
[CrossRef]

M. Vasilyev and P. Kumar, Opt. Express 20, 6644(2012).
[CrossRef]

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

2011 (3)

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 84, 033844 (2011).
[CrossRef]

A. Eckstein, B. Brecht, and C. Silberhorn, Opt. Express 19, 13770 (2011).
[CrossRef]

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

2010 (2)

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 82, 043826 (2010).
[CrossRef]

2009 (2)

J. Shapiro, IEEE J. Sel. Top. Quantum Electron. 15, 1547 (2009).
[CrossRef]

L. Ma, O. Slattery, and X. Tang, Opt. Express 17, 14395 (2009).
[CrossRef]

2005 (1)

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

2002 (3)

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

C. Brukner, M. Żukowski, and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
[CrossRef]

A. Grudka and A. Wójcik, Phys. Rev. A 66, 014301(2002).
[CrossRef]

1990 (1)

Altepeter, J. B.

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 84, 033844 (2011).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 82, 043826 (2010).
[CrossRef]

Andersson, E.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

Barreiro, J. T.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Bjork, G.

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

Bourennane, M.

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

Brecht, B.

A. Eckstein, B. Brecht, and C. Silberhorn, Opt. Express 19, 13770 (2011).
[CrossRef]

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Brukner, C.

C. Brukner, M. Żukowski, and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
[CrossRef]

Buller, G. S.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

Cerf, N.

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

Dada, A. C.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

Eckstein, A.

Gisin, N.

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

Grudka, A.

A. Grudka and A. Wójcik, Phys. Rev. A 66, 014301(2002).
[CrossRef]

Huang, Y.-P.

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 84, 033844 (2011).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 82, 043826 (2010).
[CrossRef]

Joly, N. Y.

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Karlsson, A.

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

Kumar, P.

M. Vasilyev and P. Kumar, Opt. Express 20, 6644(2012).
[CrossRef]

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 84, 033844 (2011).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 82, 043826 (2010).
[CrossRef]

P. Kumar, Opt. Lett. 15, 1476 (1990).
[CrossRef]

Kwiat, P. G.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Langford, N. K.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Leach, J.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

Ma, L.

McKinstrie, C. J.

C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
[CrossRef]

Mejling, L.

C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
[CrossRef]

Mosley, P. J.

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Oza, N. N.

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

Padgett, M. J.

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

Patel, M.

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

Peters, N. A.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Podlipensky, A.

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Raymer, M. G.

C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
[CrossRef]

Rottwitt, K.

C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
[CrossRef]

Russell, P. S. J.

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Shapiro, J.

J. Shapiro, IEEE J. Sel. Top. Quantum Electron. 15, 1547 (2009).
[CrossRef]

Silberhorn, C.

A. Eckstein, B. Brecht, and C. Silberhorn, Opt. Express 19, 13770 (2011).
[CrossRef]

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Slattery, O.

Söller, C.

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Tang, X.

Vasilyev, M.

Wójcik, A.

A. Grudka and A. Wójcik, Phys. Rev. A 66, 014301(2002).
[CrossRef]

Zang, L. Y.

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Zeilinger, A.

C. Brukner, M. Żukowski, and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
[CrossRef]

Zukowski, M.

C. Brukner, M. Żukowski, and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

J. Shapiro, IEEE J. Sel. Top. Quantum Electron. 15, 1547 (2009).
[CrossRef]

J. Phys. A (1)

M. Bourennane, A. Karlsson, G. Bjork, N. Gisin, and N. Cerf, J. Phys. A 35, 10065 (2002).
[CrossRef]

Nat. Phys. (1)

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, Nat. Phys. 7, 677 (2011).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. A (6)

A. Grudka and A. Wójcik, Phys. Rev. A 66, 014301(2002).
[CrossRef]

C. J. McKinstrie, L. Mejling, M. G. Raymer, and K. Rottwitt, Phys. Rev. A 85, 053829 (2012).
[CrossRef]

C. Söller, B. Brecht, P. J. Mosley, L. Y. Zang, A. Podlipensky, N. Y. Joly, P. S. J. Russell, and C. Silberhorn, Phys. Rev. A 81, 031801 (2010).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 82, 043826 (2010).
[CrossRef]

Y.-P. Huang, J. B. Altepeter, and P. Kumar, Phys. Rev. A 84, 033844 (2011).
[CrossRef]

M. Patel, J. B. Altepeter, Y.-P. Huang, N. N. Oza, and P. Kumar, Phys. Rev. A 86, 033809 (2012).
[CrossRef]

Phys. Rev. Lett. (2)

C. Brukner, M. Żukowski, and A. Zeilinger, Phys. Rev. Lett. 89, 197901 (2002).
[CrossRef]

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Schematic of MRPC in (a) a serial and (b) an optical loop realization.

Fig. 2.
Fig. 2.

Mode structures of QFC. (a), (b) Conversion efficiencies of the first few normal modes for μ=ν=1 and μ=3ν=3ps/cm, respectively, driven by Gaussian-shaped pump pulses of different temporal widths. (c) Profiles of the major modes in (a) with σp=0.8ps. (d) Profiles of the major modes in (b) with σp=1.6ps.

Fig. 3.
Fig. 3.

(a) Profiles of the fundamental input signal modes |ψ0|2 and |ψ0|2 obtained for f(t)=et2/2σp2 and f(t)=e(t3)2/2σp2, respectively, with σp=0.8ps, η=0.5π/cm, and μ=ν=1ps/cm. (b) Similar mode profiles obtained for f(t)=et2/2σp2cos(2t/σp) and f(t)=et2/2σp2sin(2t/σp), respectively, with σp=0.8ps, η=0.5π/cm, μ=0, and ν=3ps.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

(z+μt)a^(z,t)=iηf(t)b^(z,t),
(z+νt)b^(z,t)=iη*f*(t)a^(z,t),
b^(t)=dtG(t,t)a^(t)+ξ^(t),
b^n=λna^n+ξ^n,forn=0,1,2,,

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