Proposal for exploring macroscopic entanglement with a single photon and coherent states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 6, 2012, Pages

  Sekatski, Pavel ^a   Sangouard, Nicolas ^a   Stobińska, Magdalena ^b,c   Bussières, Félix ^a   Afzelius, Mikael ^a   Gisin, Nicolas ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b INSTITUTE OF PHYSICS   (Poland)

^c UNIVERSITY OF GDA SK   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT STATE; DISPLACEMENT OPERATIONS; GAIN INSIGHT; MACROSCOPIC ENTANGLEMENT; PHASE SPACES; PHOTON DETECTION; QUANTUM FEATURES; SINGLE PHOTONS;

PARTICLE BEAMS; PHASE SPACE METHODS;

QUANTUM ENTANGLEMENT;

EID: 84870584521     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.060301     Document Type: Article

References (39)

1. W. H. Zurek, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.715 75, 715 (2003). (Pubitemid 37244515)
2. M. Brune, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4887 77, 4887 (1996).
3. J. R. Friedman, Nature (London) NATUAS 0028-0836 10.1038/35017505 406, 43 (2000). (Pubitemid 30460202)
4. N. D. Mermin, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.22.356 22, 356 (1980).
5. F. De Martini, F. Sciarrino, and C. Vitelli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.253601 100, 253601 (2008).
6. F. De Martini, V. Mussi, and F. Bovino, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(00)00611-8 179, 581 (2000);
7. C. Simon, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2993 84, 2993 (2000). (Pubitemid 40598945)
8. In the presence of loss before and after the phase covariant cloner, we do not know when the amplified state becomes separable.
9. F. De Martini and F. Sciarrino, arXiv: 1202.5518 [quant-ph] (2012).
10. S. Raeisi, P. Sekatski, and C. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.250401 107, 250401 (2011).
11. A. Windhager, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2010.12.019 284, 1907 (2011).
12. S. J. van Enk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.064306 72, 064306 (2005). (Pubitemid 43272676)
13. J. K. Asboth, J. Calsamiglia, and H. Ritsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.173602 94, 173602 (2005). (Pubitemid 41492254)
14. J. Solomon Ivan, N. Mukunda, and R. Simon, arXiv: quant-ph/0603255 (2006).
15. R. J. Glauber, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.131.2766 131, 2766 (1963).
16. A. I. Lvovsky and C. Simon (private communication).
17. I. Afek, O. Ambar, and Y. Silberberg, Science SCIEAS 0036-8075 10.1126/science.1188172 328, 879 (2010).
18. B. C. Sanders, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.6811 45, 6811 (1992).
19. Negativity N conveniently quantifies entanglement. It is defined by N =λ < 0λ |, where λ are the eigenvalues of the partially transposed density matrix. According to this definition, the negativity of a two-qubit state is bounded by 1 / 2.
20. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.865 81, 865 (2009).
21. |b).
22. | 2.
23. K. S. Choi, Nature (London) NATUAS 0028-0836 10.1038/nature06670 452, 67 (2008). (Pubitemid 351356101)
24. I. Usmani, Nat. Photon. 1749-4885 10.1038/nphoton.2012.34 6, 234 (2012).
25. Note that if multimode memories are used, the number of ebits could easily be increased by combining time-bin qudits with a bright coherent state on a beamsplitter.
26. A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, Science SCIEAS 0036-8075 10.1126/science.1068972 296, 712 (2002). (Pubitemid 34441993)
27. P. Sekatski, B. Sanguinetti, E. Pomarico, N. Gisin, and C. Simon, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.053814 82, 053814 (2010).
28. ] 3 2.
29. J. Minar, H. de Riedmatten, C. Simon, H. Zbinden, and N. Gisin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.052325 77, 052325 (2008). (Pubitemid 351717995)
30. † (- α), that is, it is displaced in the phase space by - α;
31. see M. G. A. Paris, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(96) 00339-8 217, 78 (1996) for detailed proof. (Pubitemid 126383236)
32. For small but nonzero reflectivity, γ can always be tuned to fulfill γ r = - α, so that the corresponding operation simply corresponds to a displacement D (- α) followed by loss modeled with a beamsplitter with amplitude transmission r.
33. S. Raeisi, W. Tittel, and C. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.120404 108, 120404 (2012).
34. C. W. Chou, Nature (London) NATUAS 0028-0836 10.1038/nature04353 438, 828 (2005). (Pubitemid 41753061)
35. J. Laurat, K. S. Choi, H. Deng, C. W. Chou, and H. J. Kimble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.180504 99, 180504 (2007). (Pubitemid 350074439)
36. K. C. Lee, Science SCIEAS 0036-8075 10.1126/science.1211914 334, 1253 (2011).
37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevA.86.060301 for an explanation of how one can take mode mismatches into account.
38. P. Sekatski, N. Brunner, C. Branciard, N. Gisin, and C. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.113601 103, 113601 (2009).
39. See, for example, F. Fröwis and W. Dür, New J. Phys. 10.1088/1367-2630/14/9/093039 14, 093039 (2012) and measures therein.