P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

S. Inoue and G. Björk, “Experimental demonstration of exposure-free imaging and contrast amplification,” J. Opt. B: Quantum Semiclass. Opt. 2, 338–345 (2000).

[Crossref]

J.-S. Jang, “Optical interaction-free measurement of semitransparent objects,” Phys. Rev. A 59, 2322–2329 (1999).

[Crossref]

A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, “≪Interaction-free≫imaging,” Phys. Rev. A 58, 605–613 (1998).

[Crossref]

P. Kwiat, “Experimental and theoretical progress in interaction-free measurements,” Physica Scripta T76, 115–121 (1998).

[Crossref]

S. Inoue and G. Björk, “Experimental demonstration of exposure-free imaging and contrast amplification,” J. Opt. B: Quantum Semiclass. Opt. 2, 338–345 (2000).

[Crossref]

A. Elizur, L. Vaidman, and L. Vaidman, “Quantum mechanical interaction-free measurements,” Found. Phys.23, 987–997 (1993); “On the realization of interaction-free measurements,” Quantum Opt.6, 119 (1994).

[Crossref]

P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

S. Inoue and G. Björk, “Experimental demonstration of exposure-free imaging and contrast amplification,” J. Opt. B: Quantum Semiclass. Opt. 2, 338–345 (2000).

[Crossref]

J.-S. Jang, “Optical interaction-free measurement of semitransparent objects,” Phys. Rev. A 59, 2322–2329 (1999).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

P. Kwiat, “Experimental and theoretical progress in interaction-free measurements,” Physica Scripta T76, 115–121 (1998).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, “≪Interaction-free≫imaging,” Phys. Rev. A 58, 605–613 (1998).

[Crossref]

A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, “≪Interaction-free≫imaging,” Phys. Rev. A 58, 605–613 (1998).

[Crossref]

A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, “≪Interaction-free≫imaging,” Phys. Rev. A 58, 605–613 (1998).

[Crossref]

P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

A. Elizur, L. Vaidman, and L. Vaidman, “Quantum mechanical interaction-free measurements,” Found. Phys.23, 987–997 (1993); “On the realization of interaction-free measurements,” Quantum Opt.6, 119 (1994).

[Crossref]

A. Elizur, L. Vaidman, and L. Vaidman, “Quantum mechanical interaction-free measurements,” Found. Phys.23, 987–997 (1993); “On the realization of interaction-free measurements,” Quantum Opt.6, 119 (1994).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, “≪Interaction-free≫imaging,” Phys. Rev. A 58, 605–613 (1998).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

S. Inoue and G. Björk, “Experimental demonstration of exposure-free imaging and contrast amplification,” J. Opt. B: Quantum Semiclass. Opt. 2, 338–345 (2000).

[Crossref]

J.-S. Jang, “Optical interaction-free measurement of semitransparent objects,” Phys. Rev. A 59, 2322–2329 (1999).

[Crossref]

A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, “≪Interaction-free≫imaging,” Phys. Rev. A 58, 605–613 (1998).

[Crossref]

P. Facchi, Z. Hradil, G. Krenn, S. Pascazio, and J. Řeháček, “Quantum Zeno tomography,” Phys. Rev. A 66, 12110 (2002).

[Crossref]

P. Kwiat, “Experimental and theoretical progress in interaction-free measurements,” Physica Scripta T76, 115–121 (1998).

[Crossref]

A. Elizur, L. Vaidman, and L. Vaidman, “Quantum mechanical interaction-free measurements,” Found. Phys.23, 987–997 (1993); “On the realization of interaction-free measurements,” Quantum Opt.6, 119 (1994).

[Crossref]

P. Kwiat, H. Weinfurter, A. Zeilinger, P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, “Quantum Seeing in the Dark,” Sci. Am.275, 72–77 (1996); “Interaction-Free Measurement,” Phys. Rev. Lett.74, 4763–4767 (1995).

[Crossref]

Rigorously speaking, the transformation βn+1→√ηβn+1 does not correspond to the linear mapping |βn+1〉→|√ηβn+1〉 but to its density matrix counterpart: |βn+1〉〈βn+1|→|√ηβn+1〉〈√ηβn+1|. The latter accounts for decoherence effect, whereas the former does not. Since in our analysis we are always dealing with factorized states, the two transformations coincide for us.

This effect can be explained intuitively as follows. If the object is transparent, at the first round trip a small amount of radiation leaks into the R modes, at the second round trip a higher amount leaks there and so on constantly increasing through constructive interference until all the radiation moves into such modes after N=π/ϕ round trips. If, instead, the object is opaque, the little radiation that has leaked into the R modes at the first round trip is absorbed and does not contribute to the constructive interference that would draw more radiation into these modes at the second round trip. As a result very little radiation transfers and most of it remains in the L modes.