Abstract

Selective truncation of the Fock-state expansion of an optical field can be achieved using projection synthesis. The process removes the predetermined Fock states from the input field by conditional measurement and teleportation. We present a scheme to perform projection synthesis based on multiport interferometry. This scheme can be used both as a generalized quantum scissors device that filters out Fock states with photon numbers higher than a predetermined value, and as a quantum punching device that selectively removes specific Fock states, making holes in the Fock-state expansion of the input field.

© 2007 Optical Society of America

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  1. E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature 409, 46-52 (2001).
    [Crossref] [PubMed]
  2. R. Raussendorf and H. J. Briegel, "A one-way quantum computer," Phys. Rev. Lett. 86, 5188-5191 (2001).
    [Crossref] [PubMed]
  3. Special issue on Quantum State Preparation and Measurement, J. Mod. Opt. 44 (1997).
  4. A. Zeilinger, H. J. Bernstein, D. M. Greenberger, A. M. Horne, and M. Zukowski, "Controlling entanglement in quantum optics," in Quantum Control and Measurement, H.Ezawa and Y.Murayama, eds. (North Holland, 1993) pp. 9-22.
  5. M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, "Experimental realization of any discrete unitary operator," Phys. Rev. Lett. 73, 58-61 (1994).
    [Crossref] [PubMed]
  6. C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).
  7. M. Reck, "Quantum interferometry with multiports: entangled photons in optical fibers," Ph.D. thesis (University of Innsbruck, 1996).
  8. D. T. Pegg, L. S. Phillips, andS. M. Barnett, "Optical state truncation by projection synthesis," Phys. Rev. Lett. 81, 1604-1606 (1998).
    [Crossref]
  9. S. M. Barnett and D. T. Pegg, "Optical state truncation," Phys. Rev. A 60, 4965-4973 (1999).
    [Crossref]
  10. M. Dakna, J. Clausen, L. Knöll, and D.-G. Welsch, "Generation of arbitrary quantum states of traveling fields," Phys. Rev. A 59, 1658-1661 (1999).
    [Crossref]
  11. C. J. Villas-Bôas, Y. Guimaraes, M. H. Y. Moussa, and B. Baseia, "Recurrence formula for generalized optical state truncation by projection synthesis," Phys. Rev. A 63, 055801 (2001).
    [Crossref]
  12. K. J. Resch, J. S. Lundeen, and A. M. Steinberg, "Quantum state preparation and conditional coherence," Phys. Rev. A 88, 113601 (2002).
  13. A. I. Lvovsky and J. Mlynek, "Quantum-optical catalysis: generating nonclassical states of light by means of linear optics," Phys. Rev. Lett. 88, 250401 (2002).
    [Crossref] [PubMed]
  14. J. Fiurásek, S. Massar, and N. J. Cerf, "Conditional generation of arbitrary multimode entangled states of light with linear optics," Phys. Rev. A 68, 042325 (2003).
    [Crossref]
  15. J. Clausen, L. Knöll, and D.-G. Welsch, "Realization of multimode operators with passive linear optics and photodetection," Phys. Rev. A 68, 043822 (2003).
    [Crossref]
  16. A. Miranowicz, W. Leonski, and N. Imoto, "Quantum-optical states in finite-dimensional Hilbert space. I. General formalism," Adv. Chem. Phys. 119, 155-193 (2001).
    [Crossref]
  17. S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Quantum scissors device for optical state truncation: a proposal for practical realization," Phys. Rev. A 64, 063818 (2001).
    [Crossref]
  18. S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation," Phys. Rev. A 66, 053809 (2002).
    [Crossref]
  19. S. A. Babichev, J. Ries, and A. I. Lvovsky, "Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon," Europhys. Lett. 64, 1-7 (2003).
    [Crossref]
  20. M. Koniorczyk, Z. Kurucz, A. Gábris, and J. Janszky, "General optical state truncation and its teleportation," Phys. Rev. A 62, 013802 (2000).
    [Crossref]
  21. A. Miranowicz, "Optical-state truncation and teleportation of qudits by conditional eight-port interferometry," J. Opt. B 7, 142-150 (2005).
    [Crossref]
  22. B. Baseia, M. H. Y. Moussa, and V. S. Bagnato, "Hole burning in Fock space," Phys. Lett. A 240, 277-281 (1998).
    [Crossref]
  23. B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
    [Crossref]
  24. C. C. Gerry and A. Benmoussa, "Hole burning in the Fock space of optical fields," Phys. Lett. A 303, 30-36 (2002).
    [Crossref]

2005 (1)

A. Miranowicz, "Optical-state truncation and teleportation of qudits by conditional eight-port interferometry," J. Opt. B 7, 142-150 (2005).
[Crossref]

2004 (1)

B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
[Crossref]

2003 (3)

S. A. Babichev, J. Ries, and A. I. Lvovsky, "Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon," Europhys. Lett. 64, 1-7 (2003).
[Crossref]

J. Fiurásek, S. Massar, and N. J. Cerf, "Conditional generation of arbitrary multimode entangled states of light with linear optics," Phys. Rev. A 68, 042325 (2003).
[Crossref]

J. Clausen, L. Knöll, and D.-G. Welsch, "Realization of multimode operators with passive linear optics and photodetection," Phys. Rev. A 68, 043822 (2003).
[Crossref]

2002 (4)

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, "Quantum state preparation and conditional coherence," Phys. Rev. A 88, 113601 (2002).

A. I. Lvovsky and J. Mlynek, "Quantum-optical catalysis: generating nonclassical states of light by means of linear optics," Phys. Rev. Lett. 88, 250401 (2002).
[Crossref] [PubMed]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation," Phys. Rev. A 66, 053809 (2002).
[Crossref]

C. C. Gerry and A. Benmoussa, "Hole burning in the Fock space of optical fields," Phys. Lett. A 303, 30-36 (2002).
[Crossref]

2001 (5)

C. J. Villas-Bôas, Y. Guimaraes, M. H. Y. Moussa, and B. Baseia, "Recurrence formula for generalized optical state truncation by projection synthesis," Phys. Rev. A 63, 055801 (2001).
[Crossref]

A. Miranowicz, W. Leonski, and N. Imoto, "Quantum-optical states in finite-dimensional Hilbert space. I. General formalism," Adv. Chem. Phys. 119, 155-193 (2001).
[Crossref]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Quantum scissors device for optical state truncation: a proposal for practical realization," Phys. Rev. A 64, 063818 (2001).
[Crossref]

E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature 409, 46-52 (2001).
[Crossref] [PubMed]

R. Raussendorf and H. J. Briegel, "A one-way quantum computer," Phys. Rev. Lett. 86, 5188-5191 (2001).
[Crossref] [PubMed]

2000 (1)

M. Koniorczyk, Z. Kurucz, A. Gábris, and J. Janszky, "General optical state truncation and its teleportation," Phys. Rev. A 62, 013802 (2000).
[Crossref]

1999 (2)

S. M. Barnett and D. T. Pegg, "Optical state truncation," Phys. Rev. A 60, 4965-4973 (1999).
[Crossref]

M. Dakna, J. Clausen, L. Knöll, and D.-G. Welsch, "Generation of arbitrary quantum states of traveling fields," Phys. Rev. A 59, 1658-1661 (1999).
[Crossref]

1998 (2)

D. T. Pegg, L. S. Phillips, andS. M. Barnett, "Optical state truncation by projection synthesis," Phys. Rev. Lett. 81, 1604-1606 (1998).
[Crossref]

B. Baseia, M. H. Y. Moussa, and V. S. Bagnato, "Hole burning in Fock space," Phys. Lett. A 240, 277-281 (1998).
[Crossref]

1997 (1)

Special issue on Quantum State Preparation and Measurement, J. Mod. Opt. 44 (1997).

1995 (1)

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

1994 (1)

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

Avelar, A. T.

B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
[Crossref]

Babichev, S. A.

S. A. Babichev, J. Ries, and A. I. Lvovsky, "Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon," Europhys. Lett. 64, 1-7 (2003).
[Crossref]

Bagnato, V. S.

B. Baseia, M. H. Y. Moussa, and V. S. Bagnato, "Hole burning in Fock space," Phys. Lett. A 240, 277-281 (1998).
[Crossref]

Barnett, S. M.

S. M. Barnett and D. T. Pegg, "Optical state truncation," Phys. Rev. A 60, 4965-4973 (1999).
[Crossref]

D. T. Pegg, L. S. Phillips, andS. M. Barnett, "Optical state truncation by projection synthesis," Phys. Rev. Lett. 81, 1604-1606 (1998).
[Crossref]

Baseia, B.

B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
[Crossref]

C. J. Villas-Bôas, Y. Guimaraes, M. H. Y. Moussa, and B. Baseia, "Recurrence formula for generalized optical state truncation by projection synthesis," Phys. Rev. A 63, 055801 (2001).
[Crossref]

B. Baseia, M. H. Y. Moussa, and V. S. Bagnato, "Hole burning in Fock space," Phys. Lett. A 240, 277-281 (1998).
[Crossref]

Benmoussa, A.

C. C. Gerry and A. Benmoussa, "Hole burning in the Fock space of optical fields," Phys. Lett. A 303, 30-36 (2002).
[Crossref]

Bernstein, H. J.

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

A. Zeilinger, H. J. Bernstein, D. M. Greenberger, A. M. Horne, and M. Zukowski, "Controlling entanglement in quantum optics," in Quantum Control and Measurement, H.Ezawa and Y.Murayama, eds. (North Holland, 1993) pp. 9-22.

Bertani, P.

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

Briegel, H. J.

R. Raussendorf and H. J. Briegel, "A one-way quantum computer," Phys. Rev. Lett. 86, 5188-5191 (2001).
[Crossref] [PubMed]

Cerf, N. J.

J. Fiurásek, S. Massar, and N. J. Cerf, "Conditional generation of arbitrary multimode entangled states of light with linear optics," Phys. Rev. A 68, 042325 (2003).
[Crossref]

Clausen, J.

J. Clausen, L. Knöll, and D.-G. Welsch, "Realization of multimode operators with passive linear optics and photodetection," Phys. Rev. A 68, 043822 (2003).
[Crossref]

M. Dakna, J. Clausen, L. Knöll, and D.-G. Welsch, "Generation of arbitrary quantum states of traveling fields," Phys. Rev. A 59, 1658-1661 (1999).
[Crossref]

da Rocha Filho, T. M.

B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
[Crossref]

Dakna, M.

M. Dakna, J. Clausen, L. Knöll, and D.-G. Welsch, "Generation of arbitrary quantum states of traveling fields," Phys. Rev. A 59, 1658-1661 (1999).
[Crossref]

Escher, B. M.

B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
[Crossref]

Fiurásek, J.

J. Fiurásek, S. Massar, and N. J. Cerf, "Conditional generation of arbitrary multimode entangled states of light with linear optics," Phys. Rev. A 68, 042325 (2003).
[Crossref]

Gábris, A.

M. Koniorczyk, Z. Kurucz, A. Gábris, and J. Janszky, "General optical state truncation and its teleportation," Phys. Rev. A 62, 013802 (2000).
[Crossref]

Gerry, C. C.

C. C. Gerry and A. Benmoussa, "Hole burning in the Fock space of optical fields," Phys. Lett. A 303, 30-36 (2002).
[Crossref]

Greenberger, D. M.

A. Zeilinger, H. J. Bernstein, D. M. Greenberger, A. M. Horne, and M. Zukowski, "Controlling entanglement in quantum optics," in Quantum Control and Measurement, H.Ezawa and Y.Murayama, eds. (North Holland, 1993) pp. 9-22.

Guimaraes, Y.

C. J. Villas-Bôas, Y. Guimaraes, M. H. Y. Moussa, and B. Baseia, "Recurrence formula for generalized optical state truncation by projection synthesis," Phys. Rev. A 63, 055801 (2001).
[Crossref]

Horne, A. M.

A. Zeilinger, H. J. Bernstein, D. M. Greenberger, A. M. Horne, and M. Zukowski, "Controlling entanglement in quantum optics," in Quantum Control and Measurement, H.Ezawa and Y.Murayama, eds. (North Holland, 1993) pp. 9-22.

Imoto, N.

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation," Phys. Rev. A 66, 053809 (2002).
[Crossref]

A. Miranowicz, W. Leonski, and N. Imoto, "Quantum-optical states in finite-dimensional Hilbert space. I. General formalism," Adv. Chem. Phys. 119, 155-193 (2001).
[Crossref]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Quantum scissors device for optical state truncation: a proposal for practical realization," Phys. Rev. A 64, 063818 (2001).
[Crossref]

Janszky, J.

M. Koniorczyk, Z. Kurucz, A. Gábris, and J. Janszky, "General optical state truncation and its teleportation," Phys. Rev. A 62, 013802 (2000).
[Crossref]

Knill, E.

E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature 409, 46-52 (2001).
[Crossref] [PubMed]

Knöll, L.

J. Clausen, L. Knöll, and D.-G. Welsch, "Realization of multimode operators with passive linear optics and photodetection," Phys. Rev. A 68, 043822 (2003).
[Crossref]

M. Dakna, J. Clausen, L. Knöll, and D.-G. Welsch, "Generation of arbitrary quantum states of traveling fields," Phys. Rev. A 59, 1658-1661 (1999).
[Crossref]

Koashi, M.

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation," Phys. Rev. A 66, 053809 (2002).
[Crossref]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Quantum scissors device for optical state truncation: a proposal for practical realization," Phys. Rev. A 64, 063818 (2001).
[Crossref]

Koniorczyk, M.

M. Koniorczyk, Z. Kurucz, A. Gábris, and J. Janszky, "General optical state truncation and its teleportation," Phys. Rev. A 62, 013802 (2000).
[Crossref]

Kurucz, Z.

M. Koniorczyk, Z. Kurucz, A. Gábris, and J. Janszky, "General optical state truncation and its teleportation," Phys. Rev. A 62, 013802 (2000).
[Crossref]

Laflamme, R.

E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature 409, 46-52 (2001).
[Crossref] [PubMed]

Leonski, W.

A. Miranowicz, W. Leonski, and N. Imoto, "Quantum-optical states in finite-dimensional Hilbert space. I. General formalism," Adv. Chem. Phys. 119, 155-193 (2001).
[Crossref]

Lundeen, J. S.

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, "Quantum state preparation and conditional coherence," Phys. Rev. A 88, 113601 (2002).

Lvovsky, A. I.

S. A. Babichev, J. Ries, and A. I. Lvovsky, "Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon," Europhys. Lett. 64, 1-7 (2003).
[Crossref]

A. I. Lvovsky and J. Mlynek, "Quantum-optical catalysis: generating nonclassical states of light by means of linear optics," Phys. Rev. Lett. 88, 250401 (2002).
[Crossref] [PubMed]

Massar, S.

J. Fiurásek, S. Massar, and N. J. Cerf, "Conditional generation of arbitrary multimode entangled states of light with linear optics," Phys. Rev. A 68, 042325 (2003).
[Crossref]

Mattle, C.

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

Michler, M.

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

Milburn, G. J.

E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature 409, 46-52 (2001).
[Crossref] [PubMed]

Miranowicz, A.

A. Miranowicz, "Optical-state truncation and teleportation of qudits by conditional eight-port interferometry," J. Opt. B 7, 142-150 (2005).
[Crossref]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation," Phys. Rev. A 66, 053809 (2002).
[Crossref]

A. Miranowicz, W. Leonski, and N. Imoto, "Quantum-optical states in finite-dimensional Hilbert space. I. General formalism," Adv. Chem. Phys. 119, 155-193 (2001).
[Crossref]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Quantum scissors device for optical state truncation: a proposal for practical realization," Phys. Rev. A 64, 063818 (2001).
[Crossref]

Mlynek, J.

A. I. Lvovsky and J. Mlynek, "Quantum-optical catalysis: generating nonclassical states of light by means of linear optics," Phys. Rev. Lett. 88, 250401 (2002).
[Crossref] [PubMed]

Moussa, M. H. Y.

C. J. Villas-Bôas, Y. Guimaraes, M. H. Y. Moussa, and B. Baseia, "Recurrence formula for generalized optical state truncation by projection synthesis," Phys. Rev. A 63, 055801 (2001).
[Crossref]

B. Baseia, M. H. Y. Moussa, and V. S. Bagnato, "Hole burning in Fock space," Phys. Lett. A 240, 277-281 (1998).
[Crossref]

Özdemir, S. K.

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation," Phys. Rev. A 66, 053809 (2002).
[Crossref]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, "Quantum scissors device for optical state truncation: a proposal for practical realization," Phys. Rev. A 64, 063818 (2001).
[Crossref]

Pegg, D. T.

S. M. Barnett and D. T. Pegg, "Optical state truncation," Phys. Rev. A 60, 4965-4973 (1999).
[Crossref]

D. T. Pegg, L. S. Phillips, andS. M. Barnett, "Optical state truncation by projection synthesis," Phys. Rev. Lett. 81, 1604-1606 (1998).
[Crossref]

Phillips, L. S.

D. T. Pegg, L. S. Phillips, andS. M. Barnett, "Optical state truncation by projection synthesis," Phys. Rev. Lett. 81, 1604-1606 (1998).
[Crossref]

Raussendorf, R.

R. Raussendorf and H. J. Briegel, "A one-way quantum computer," Phys. Rev. Lett. 86, 5188-5191 (2001).
[Crossref] [PubMed]

Reck, M.

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

M. Reck, "Quantum interferometry with multiports: entangled photons in optical fibers," Ph.D. thesis (University of Innsbruck, 1996).

Resch, K. J.

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, "Quantum state preparation and conditional coherence," Phys. Rev. A 88, 113601 (2002).

Ries, J.

S. A. Babichev, J. Ries, and A. I. Lvovsky, "Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon," Europhys. Lett. 64, 1-7 (2003).
[Crossref]

Steinberg, A. M.

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, "Quantum state preparation and conditional coherence," Phys. Rev. A 88, 113601 (2002).

Villas-Bôas, C. J.

C. J. Villas-Bôas, Y. Guimaraes, M. H. Y. Moussa, and B. Baseia, "Recurrence formula for generalized optical state truncation by projection synthesis," Phys. Rev. A 63, 055801 (2001).
[Crossref]

Weinfurter, H.

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

Welsch, D.-G.

J. Clausen, L. Knöll, and D.-G. Welsch, "Realization of multimode operators with passive linear optics and photodetection," Phys. Rev. A 68, 043822 (2003).
[Crossref]

M. Dakna, J. Clausen, L. Knöll, and D.-G. Welsch, "Generation of arbitrary quantum states of traveling fields," Phys. Rev. A 59, 1658-1661 (1999).
[Crossref]

Zeilinger, A.

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

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

A. Zeilinger, H. J. Bernstein, D. M. Greenberger, A. M. Horne, and M. Zukowski, "Controlling entanglement in quantum optics," in Quantum Control and Measurement, H.Ezawa and Y.Murayama, eds. (North Holland, 1993) pp. 9-22.

Zukowski, M.

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

A. Zeilinger, H. J. Bernstein, D. M. Greenberger, A. M. Horne, and M. Zukowski, "Controlling entanglement in quantum optics," in Quantum Control and Measurement, H.Ezawa and Y.Murayama, eds. (North Holland, 1993) pp. 9-22.

Adv. Chem. Phys. (1)

A. Miranowicz, W. Leonski, and N. Imoto, "Quantum-optical states in finite-dimensional Hilbert space. I. General formalism," Adv. Chem. Phys. 119, 155-193 (2001).
[Crossref]

Appl. Phys. B: Lasers Opt. (1)

C. Mattle, M. Michler, H. Weinfurter, A. Zeilinger, and M. Zukowski, "Non-classical statistics at multiport beam splitters," Appl. Phys. B: Lasers Opt. 60, S111-S117 (1995).

Europhys. Lett. (1)

S. A. Babichev, J. Ries, and A. I. Lvovsky, "Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon," Europhys. Lett. 64, 1-7 (2003).
[Crossref]

J. Mod. Opt. (1)

Special issue on Quantum State Preparation and Measurement, J. Mod. Opt. 44 (1997).

J. Opt. B (1)

A. Miranowicz, "Optical-state truncation and teleportation of qudits by conditional eight-port interferometry," J. Opt. B 7, 142-150 (2005).
[Crossref]

Nature (1)

E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature 409, 46-52 (2001).
[Crossref] [PubMed]

Phys. Lett. A (2)

B. Baseia, M. H. Y. Moussa, and V. S. Bagnato, "Hole burning in Fock space," Phys. Lett. A 240, 277-281 (1998).
[Crossref]

C. C. Gerry and A. Benmoussa, "Hole burning in the Fock space of optical fields," Phys. Lett. A 303, 30-36 (2002).
[Crossref]

Phys. Rev. A (10)

B. M. Escher, A. T. Avelar, T. M. da Rocha Filho, and B. Baseia, "Controlled hole burning in the Fock space via conditional measurements on beam splitters," Phys. Rev. A 70, 025801 (2004).
[Crossref]

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Figures (2)

Fig. 1
Fig. 1

Generalized eight-port QSD. Notation: ψ is the input state to be truncated, usually a coherent state α ; n j —input Fock states; ϕ —output state, selectively truncated or punched; D j —photon counters; B j —beam splitters; P j —phase shifters; and a ̂ j and b ̂ j —input and output annihilation operators, respectively. The beams reflected from the white surface of the beam splitters are π phase shifted, while the reflections from the black surface are without any phase shift. The beam splitter drawn with a dotted line and bounded by the dotted box is the one to be removed in order to obtain the QSD from the conventional multiport interferometer.

Fig. 2
Fig. 2

Representation of the original Pegg–Phillips–Barnett scheme of QSD as a six-port interferometer scheme. Notation is the same as in Fig. 1, where i = 4 (or equivalently i = 3 ).

Equations (19)

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ψ = n = 0 γ n n ϕ ( d ) = N n = 0 d 1 γ n n ,
Φ = U ̂ n = 1 n 1 ! n N ! j = 1 N l = 1 ν S j l x l a ̂ j l 0 ,
N 2 + N 3 + N 4 = n 1 + n 2 + n 3 = d 1 .
ϕ N 2 2 N 3 3 N 4 Φ 4 = n = 0 d 1 c n ( d ) γ n n ,
ϕ ( 2 ) γ 0 0 + γ 1 1 ,
ϕ ( 3 ) γ 0 0 + γ 1 1 + γ 2 2 .
ϕ ( 4 ) γ 0 0 + γ 1 1 + γ 2 2 + γ 3 3
ϕ ( 5 ) γ 0 0 + γ 1 1 + γ 2 2 + γ 3 3 + γ 4 4
ϕ punch ( d ) n = 0 n r 1 , r 2 , d 1 γ n n .
Δ n r i c n ( d ) c n ( d ) + r i c r i ( d )
N d = n = 1 d ( d n ) = 2 d 1 ,
ϕ punch 123 ( 4 ) γ 1 1 + γ 2 2 + γ 3 3 ,
ϕ punch 0 23 ( 4 ) γ 0 0 + γ 2 2 + γ 3 3 ,
ϕ punch 01 3 ( 4 ) γ 0 0 + γ 1 1 + γ 3 3 ,
ϕ punch 0 2 ( 4 ) for T = [ 1 , 1 2 , 1 , 1 , 1 2 ] ,
ϕ punch 1 3 ( 4 ) for T = [ 1 2 , t 2 , 1 , t 2 , 1 2 ] ,
ϕ punch 0 3 ( 4 ) for T = [ ( t ) 2 , 1 2 , 1 , 1 6 , ( t ) 2 ] ,
ϕ punch 23 ( 4 ) for T = [ t 2 , 1 2 , 1 , 1 6 , ( t ) 2 ] ,
ϕ punch 12 ( 4 ) for T = [ t 2 , 8 9 , 1 2 , t 2 , 1 ] ,

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