Abstract

Motivated by a proposal from [Phys. Scr. T76, 57 (1998) [CrossRef]  ] for superluminal signaling and inspired by an experiment from [Phys. Rev. Lett. 67, 318 (1991) [CrossRef]  ] showing interference effects within multiparticle entanglement without coincidence detection, we propose a feasible quantum-optical experiment that purports to manifest the capacity for superluminal transfer of information between distant parties.

© 2013 Optical Society of America

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  1. C. G. Ghirardi, A. Rimini, and T. Weber, “A general argument against superluminal transmission through the quantum mechanical measurement process,” Lett. Nuovo Cimento 27, 293–298 (1980).
    [CrossRef]
  2. D. M. Greenberger, “If one could build a macroscopic Schrödinger cat state, one could communicate superluminally,” Phys. Scr. T76, 57–60 (1998).
    [CrossRef]
  3. C. G. Ghirardi and R. Romano, “On a proposal of superluminal communication,” J. Phys. A 45, 232001 (2012).
    [CrossRef]
  4. C. G. Ghirardi and R. Romano (private communication, 2012).
  5. X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
    [CrossRef]
  6. C. C. Gerry and P. L. Knight, Introductory Quantum Optics (2005), p. 44.
  7. K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Conditional-phase switch at the single-photon level,” Phys. Rev. Lett. 89, 037904 (2002).
    [CrossRef]
  8. A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).
    [CrossRef]
  9. E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
    [CrossRef]
  10. W. Tittel and G. Weihs, “Photonic entanglement for fundamental tests and quantum communication,” Quantum Inf. Comput. 1, 3–56 (2001).
  11. R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).
  12. X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
    [CrossRef]
  13. G. C. Hegerfeldt, “Causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 72, 596–599 (1994).
    [CrossRef]
  14. D. Buchholz, and J. Yngvason, “There are no causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 73, 613–616 (1994).
    [CrossRef]

2012 (2)

C. G. Ghirardi and R. Romano, “On a proposal of superluminal communication,” J. Phys. A 45, 232001 (2012).
[CrossRef]

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

2011 (1)

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

2010 (1)

E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
[CrossRef]

2005 (1)

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).
[CrossRef]

2002 (1)

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Conditional-phase switch at the single-photon level,” Phys. Rev. Lett. 89, 037904 (2002).
[CrossRef]

2001 (1)

W. Tittel and G. Weihs, “Photonic entanglement for fundamental tests and quantum communication,” Quantum Inf. Comput. 1, 3–56 (2001).

1998 (1)

D. M. Greenberger, “If one could build a macroscopic Schrödinger cat state, one could communicate superluminally,” Phys. Scr. T76, 57–60 (1998).
[CrossRef]

1994 (2)

G. C. Hegerfeldt, “Causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 72, 596–599 (1994).
[CrossRef]

D. Buchholz, and J. Yngvason, “There are no causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 73, 613–616 (1994).
[CrossRef]

1991 (1)

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef]

1980 (1)

C. G. Ghirardi, A. Rimini, and T. Weber, “A general argument against superluminal transmission through the quantum mechanical measurement process,” Lett. Nuovo Cimento 27, 293–298 (1980).
[CrossRef]

Anisimova, E.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Bellini, M.

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).
[CrossRef]

Bimbard, E.

E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
[CrossRef]

Buchholz, D.

D. Buchholz, and J. Yngvason, “There are no causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 73, 613–616 (1994).
[CrossRef]

Edamatsu, K.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Gerry, C. C.

C. C. Gerry and P. L. Knight, Introductory Quantum Optics (2005), p. 44.

Ghirardi, C. G.

C. G. Ghirardi and R. Romano, “On a proposal of superluminal communication,” J. Phys. A 45, 232001 (2012).
[CrossRef]

C. G. Ghirardi, A. Rimini, and T. Weber, “A general argument against superluminal transmission through the quantum mechanical measurement process,” Lett. Nuovo Cimento 27, 293–298 (1980).
[CrossRef]

C. G. Ghirardi and R. Romano (private communication, 2012).

Greenberger, D. M.

D. M. Greenberger, “If one could build a macroscopic Schrödinger cat state, one could communicate superluminally,” Phys. Scr. T76, 57–60 (1998).
[CrossRef]

Hegerfeldt, G. C.

G. C. Hegerfeldt, “Causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 72, 596–599 (1994).
[CrossRef]

Herbst, T.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Jain, N.

E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
[CrossRef]

Jennewein, T.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Jin, R. B.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Knight, P. L.

C. C. Gerry and P. L. Knight, Introductory Quantum Optics (2005), p. 44.

Kofler, J.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Kosaka, H.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Kropatschek, S.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Lundeen, J. S.

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Conditional-phase switch at the single-photon level,” Phys. Rev. Lett. 89, 037904 (2002).
[CrossRef]

Lvovsky, A. I.

E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
[CrossRef]

Ma, X. S.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

MacRae, A.

E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
[CrossRef]

Makarov, V.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Mandel, L.

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef]

Matsuda, N.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Mech, A.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Mitsumori, Y.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Naylor, W.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Resch, K. J.

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Conditional-phase switch at the single-photon level,” Phys. Rev. Lett. 89, 037904 (2002).
[CrossRef]

Rimini, A.

C. G. Ghirardi, A. Rimini, and T. Weber, “A general argument against superluminal transmission through the quantum mechanical measurement process,” Lett. Nuovo Cimento 27, 293–298 (1980).
[CrossRef]

Romano, R.

C. G. Ghirardi and R. Romano, “On a proposal of superluminal communication,” J. Phys. A 45, 232001 (2012).
[CrossRef]

C. G. Ghirardi and R. Romano (private communication, 2012).

Scheidl, T.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Shimizu, R.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Steinberg, A. M.

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Conditional-phase switch at the single-photon level,” Phys. Rev. Lett. 89, 037904 (2002).
[CrossRef]

Tittel, W.

W. Tittel and G. Weihs, “Photonic entanglement for fundamental tests and quantum communication,” Quantum Inf. Comput. 1, 3–56 (2001).

Ursin, R.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Viciani, S.

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).
[CrossRef]

Wang, D.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Wang, L. J.

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef]

Weber, T.

C. G. Ghirardi, A. Rimini, and T. Weber, “A general argument against superluminal transmission through the quantum mechanical measurement process,” Lett. Nuovo Cimento 27, 293–298 (1980).
[CrossRef]

Weihs, G.

W. Tittel and G. Weihs, “Photonic entanglement for fundamental tests and quantum communication,” Quantum Inf. Comput. 1, 3–56 (2001).

Wittmann, B.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Yngvason, J.

D. Buchholz, and J. Yngvason, “There are no causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 73, 613–616 (1994).
[CrossRef]

Zavatta, A.

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).
[CrossRef]

Zeilinger, A.

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Zhang, J.

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

Zou, X. Y.

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef]

J. Phys. A (1)

C. G. Ghirardi and R. Romano, “On a proposal of superluminal communication,” J. Phys. A 45, 232001 (2012).
[CrossRef]

Lett. Nuovo Cimento (1)

C. G. Ghirardi, A. Rimini, and T. Weber, “A general argument against superluminal transmission through the quantum mechanical measurement process,” Lett. Nuovo Cimento 27, 293–298 (1980).
[CrossRef]

Nat. Photonics (1)

E. Bimbard, N. Jain, A. MacRae, and A. I. Lvovsky, “Quantum-optical state engineering up to the two-photon level,” Nat. Photonics 4, 243–247 (2010).
[CrossRef]

Nature (1)

X. S. Ma, T. Herbst, T. Scheidl, D. Wang, S. Kropatschek, W. Naylor, A. Mech, B. Wittmann, J. Kofler, E. Anisimova, V. Makarov, T. Jennewein, R. Ursin, and A. Zeilinger, “Quantum teleportation using active feed-forward between two Canary Islands,” Nature 489, 269–273 (2012).
[CrossRef]

Phys. Rev. A (2)

R. B. Jin, J. Zhang, R. Shimizu, N. Matsuda, Y. Mitsumori, H. Kosaka, and K. Edamatsu, “High-visibility nonclassical interference between intrinsically pure heralded single photons and photons from a weak coherent field,” Phys. Rev. A 83, 031805(R) (2011).

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).
[CrossRef]

Phys. Rev. Lett. (4)

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Conditional-phase switch at the single-photon level,” Phys. Rev. Lett. 89, 037904 (2002).
[CrossRef]

X. Y. Zou, L. J. Wang, and L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef]

G. C. Hegerfeldt, “Causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 72, 596–599 (1994).
[CrossRef]

D. Buchholz, and J. Yngvason, “There are no causality problems for Fermi’s two-atom system,” Phys. Rev. Lett. 73, 613–616 (1994).
[CrossRef]

Phys. Scr. (1)

D. M. Greenberger, “If one could build a macroscopic Schrödinger cat state, one could communicate superluminally,” Phys. Scr. T76, 57–60 (1998).
[CrossRef]

Quantum Inf. Comput. (1)

W. Tittel and G. Weihs, “Photonic entanglement for fundamental tests and quantum communication,” Quantum Inf. Comput. 1, 3–56 (2001).

Other (2)

C. G. Ghirardi and R. Romano (private communication, 2012).

C. C. Gerry and P. L. Knight, Introductory Quantum Optics (2005), p. 44.

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Figures (1)

Fig. 1.
Fig. 1.

Source S creates single pairs of path-entangled photons; a photon pair can be emitted into modes a1a2 or into modes b1b2. Modes a2 and b2 are combined with two weak coherent states, entering from modes a3 and b3, via two high-transmission beam splitters, BSa and BSb. For a particular outcome of photon occupation in modes a2 and b2, quantum erasure of the “which-way” information for a left-going photon occurs, leading to small amount of interference at beam splitter BS0.

Equations (11)

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

|ψS=12(|1a1|1a2|0b1|0b2+eiφ|0a1|0a2|1b1|1b2).
|1a2|αa3BSa(ta^a2+ra^a3)|tαa3|rαa2,
|1b2|αb3BSb(ta^b2+ra^b3)|tαb3|rαb2,
|rαa2|0a2+rα|1a2=(1+rαa^a2)|0a2,
|rαb2|0b2+rα|1b2=(1+rαa^b2)|0b2.
|0+rα|1+(rα)22|2+(rα)36|3+,
|Ψ0=ε|ψS|αa3|αb3=ε2(|1a1|1a2|0b1|0b2+eiφ|0a1|0a2|1b1|1b2)|αa3|αb3.
|Ψ0BSbBSaε2[|1a1|0b1(ta^a2+ra^a3)+eiφ|0a1|1b1(ta^b2+ra^b3)](1+rαa^a2)(1+rαa^b2)|0a2|0b2|tαa3|tαb3
=ε2[t(|1a1|0b1a^a2+eiφ|0a1|1b1a^b2)+r(|1a1|0b1a^a3+eiφ|0a1|1b1a^b3)]vanishing(1+rαa^a2+rαa^b2+r2α2a^a2a^b2negligible)|0a2|0b2|tαa3|tαb3
εt2(|1a1|0b1a^a2+eiφ|0a1|1b1a^b2)(1+rαa^a2+rαa^b2)|0a2|0b2|tαa3|tαb3|Ψout.
|Ψout=εt2[rα(|1a1|0b1+eiφ|0a1|1b1)|1a2|1b2interference part+|1a1|0b1|1a2|0b2+eiφ|0a1|1b1|0a2|1b2+2rα(|1a1|0b1|2a2|0b2+eiφ|0a1|1b1|0a2|2b2)]|tαa3|tαb3.

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