Multiphoton interference as a tool to observe families of multiphoton entangled states

IEEE Journal on Selected Topics in Quantum Electronics

Volumn 15, Issue 6, 2009, Pages 1704-1712

  Wieczorek, Witlef ^a,b   Kiesel, Nikolai ^a,b,c   Schmid, Christian ^a,b,d   Laskowski, Wieslaw ^e   Zukowski, Marek ^e   Weinfurter, Harald ^a,b  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

^c ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^d EUROPEAN SOUTHERN OBSERVATORY   (Germany)

^e UNIVERSITY OF GDA SK   (Poland)

Author keywords

Frequency conversion; Interference; Nonlinear optics; Parametric devices; Ultrafast optics

Indexed keywords

BEAM SPLITTERS; ENTANGLED STATE; FREQUENCY CONVERSION; FREQUENCY CONVERSIONS; INTERFERENCE; LINEAR OPTICAL; LINEAR OPTICS; MULTI-PHOTON ENTANGLED STATE; MULTIPHOTON INTERFERENCE; MULTIPHOTON STATE; SPONTANEOUS PARAMETRIC DOWN-CONVERSION; STATE OBSERVATION; TWO-PHOTON INTERFERENCE; ULTRAFAST OPTICS;

LIGHT; MULTIPHOTON PROCESSES; NONLINEAR OPTICS; OPTICAL MATERIALS; PHOTONS; QUANTUM OPTICS;

PARAMETRIC DEVICES;

EID: 72149100473     PISSN: 1077260X     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTQE.2009.2025697     Document Type: Article

References (52)

1. W. Dür, G. Vidal, and J. I. Cirac, "Three qubits can be entangled in two inequivalentways," Phys. Rev. A, vol.62, no.6, pp. 062314-1-062314-12, 2000.
2. F. Verstraete, J. Dehaene, B. DeMoor, and H. Verschelde. (2002). Four qubits can be entangled in nine different ways. Phys. Rev. A [Online]. 65(5), pp. 052112-1-052112-5. Available: http://link.aps.org/ abstract/PRA/v65/e052112
3. L. Lamata, J. Leon, D. Salgado, and E. Solano. (2006). Inductive classification of multipartite entanglement under stochastic local operations and classical communication. Phys. Rev. A [Online]. 74(5), pp. 052336-1-052336-10. Available: http://link.aps.org/abstract/PRA/v74/e052336
4. L. Lamata, J. Leon, D. Salgado, and E. Solano. (2007). Inductive entanglement classification of four qubits under stochastic local operations and classical communication. Phys. Rev. A [Online]. 75(2), pp. 022318-1-022318-9. Available: http://link.aps.org/abstract/PRA/v75/e022318
5. M. Zukowski, A. Zeilinger, and H. Weinfurter. (1995). Entangling photons radiated by independent pulsed sources. Ann. New York Acad. Sci. [Online]. 755, pp. 91-102. Available: http://dx.doi.org/10.1111/j.1749-6632.1995.tb38959.x
6. J. G. Rarity. (1995). Interference of single photons from separate sources. Ann. New York Acad. Sci. [Online]. 755, pp. 624-631. Available: http://dx.doi.org/10.1111/j.1749-6632.1995.tb39002.x
7. J.-W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger. (2001). Experimental demonstration of four-photon entanglement and highfidelity teleportation. Phys. Rev. Lett. [Online]. 86(20), pp. 4435-4438. Available: http://link.aps.org/abstract/PRL/v86/p4435
8. N. Kiesel, C. Schmid, U. Weber, G. Toth, O. Gühne, R. Ursin, and H. Weinfurter. (2005). Experimental analysis of a four-qubit photon cluster state. Phys. Rev. Lett. [Online]. 95(21), pp. 210502-1-210502-4. Available: http://link.aps.org/abstract/PRL/v95/e210502
9. C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan. (2007, Feb.). Experimental entanglement of six photons in graph states. Nature Phys. [Online]. 3, pp. 91-95. Available: http://dx.doi.org/10.1038/nphys507
10. C. Cabrillo, J. I. Cirac, P. García-Ferńandez, and P. Zoller, "Creation of entangled states of distant atoms by interference," Phys. Rev. A, vol.59, no.2, pp. 1025-1033, Feb. 1999.
11. S. Bose, P. L. Knight,M. B. Plenio, and V. Vedral, "Proposal for teleportation of an atomic state via cavity decay," Phys. Rev. Lett., vol.83, no.24, pp. 5158-5161, Dec. 1999.
12. C. Skornia, J. vonZanthier, G. S. Agarwal, E. Werner, and H. Walther, "Nonclassical interference effects in the radiation from coherently driven uncorrelated atoms," Phys. Rev. A, vol.64, no.6, pp. 063801-1-063801-5, Nov. 2001.
13. L.-M. Duan, M. D. Lukin, J. I. Cirac, and P. Zoller. (2001, Nov.). Long-distance quantum communication with atomic ensembles and linear optics. Nature [Online]. 414(6862), pp. 413-418. Available: http://dx.doi.org/10.1038/ 35106500
14. C. Simon and W. T. M. Irvine, "Robust long-distance entanglement and a loophole-free Bell test with ions and photons," Phys. Rev. Lett., vol.91, no.11, pp. 110405-1-110405-4, Sep. 2003.
15. C. Thiel, J. von Zanthier, T. Bastin, E. Solano, and G. S. Agarwal. (2007). Generation of symmetric Dicke states of remote qubits with linear optics. Phys. Rev. Lett. [Online]. 99(19), pp. 193602-1-193602-4. Available: http://link.aps.org/abstract/PRL/v99/e193602
16. T. Bastin, C. Thiel, J. von Zanthier, L. Lamata, E. Solano, and G. S. Agarwal. (2009). Operational determination of multiqubit entanglement classes via tuning of local operations. Phys. Rev. Lett. [Online]. 102(5), pp. 053601-1-053601-4. Available: http://link. aps.org/abstract/PRL/v102/e053601 2009.
17. J. J. Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen. (1996). Optimal frequency measurements with maximally correlated states. Phys. Rev. A [Online]. 54(6), pp. R4649-R4652. Available: http://link.aps.org/abstract/PRA/ v54/pR4649
18. M. J. Holland and K. Burnett, "Interferometric detection of optical phase shifts at the Heisenberg limit," Phys. Rev. Lett., vol.71, no.9, pp. 1355-1358, Aug. 1993.
19. P. Walther, J.-W. Pan, M. Aspelmeyer, R. Ursin, S. Gasparoni, and A. Zeilinger. (2004, May). De Broglie wavelength of a non-local four-photon state. Nature [Online]. 429(6988), pp. 158-161. Available: http://dx.doi.org/10.1038/ nature02552
20. M. W. Mitchell, J. S. Lundeen, and A. M. Steinberg. (2004, May). Super-resolving phase measurements with a multiphoton entangled state. Nature [Online]. 429(6988), pp. 161-164. Available: http://dx.doi.org/10.1038/ nature02493
21. T. Nagata, R. Okamoto, J. L. O'Brien, K. Sasaki, and S. Takeuchi. (2007). Beating the standard quantum limit with fourentangled photons. Science [Online]. 316(5825), pp. 726-729. Available: http://www.sciencemag.org/cgi/ content/abstract/316/5825/726 (Pubitemid 46717676)
22. R. A. Campos, B. E. A. Saleh, and M. C. Teich, "Quantum-mechanical lossless beam splitter: Su(2) symmetry and photon statistics," Phys. Rev. A, vol.40, no.3, pp. 1371-1384, Aug. 1989.
23. Z. Y. Ou, J.-K. Rhee, and L. J. Wang. (1999). Observation of fourphoton interference with a beam splitter by pulsed parametric downconversion. Phys. Rev. Lett. [Online]. 83(5), pp. 959-962. Available: http://link.aps.org/ abstract/PRL/v83/p959
24. Z. Y. Ou, J.-K. Rhee, and L. J. Wang. (1999). Photon bunching and multiphoton interference in parametric down-conversion. Phys. Rev. A [Online]. 60(1), pp. 593-604. Available: http://link.aps.org/abstract/PRA/ v60/p593
25. B. H. Liu, F. W. Sun, Y. X. Gong, Y. F. Huang, G. C. Guo, and Z. Y. Ou. (2007). Four-photon interference with asymmetric beam splitters. Opt. Lett. [Online]. 32(10), pp. 1320-1322. Available: http://www.opticsinfobase.org/ abstract.cfm?URI=OL-32-10-1320
26. C. K. Hong, Z. Y. Ou, and L. Mandel. (1987). Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. [Online]. 59(18), pp. 2044-2046. Available: http://link.aps.org/abstract/PRL/v59/p2044
27. W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Guhne, and H. Weinfurter. (2008). Experimental observation of an entire family of fourphoton entangled states. Phys. Rev. Lett. [Online]. 101(1), pp. 010503-1-010503-4. Available: http://link.aps.org/abstract/PRL/v101/e010503
28. B. P. Lanyon, N. K. Langford. (2009). Experimentally generating and tuning robust entanglement between photonic qubits. New J. Phys. [Online]. 11(1), pp. 013008-1-013008-9. Available: http://stacks.iop.org/1367-2630/11/ 013008
29. H. Weinfurter, M. Zukowski. (2001). Four-photon entanglement from down-conversion. Phys. Rev. A [Online]. 64(1), pp. 010102-1-010102-4. Available: http://link.aps.org/abstract/PRA/v64/e010102
30. W. Wieczorek, N. Kiesel, C. Schmid, and H. Weinfurter. (2009). Multiqubit entanglement engineering via projective measurements. Phys. Rev. A [Online]. 79(2), pp. 022311-1-022311-8. Available: http://link.aps.org/abstract/PRA/v79/ e022311
31. W. Laskowski, M. Wiésniak, M. Zukowski, M. Bourennane, and H. Weinfurter. (2009). Interference contrast in multisource few-photon optics. J. Phys. B [Online]. 42(11), pp. 114004-1-114004-12. Available: http://stacks.iop.org/0953-4075/42/114004
32. J. Kempe, D. Bacon, D. A. Lidar, and K. B. Whaley. (2001). Theory of decoherence-free fault-tolerant universal quantum computation. Phys. Rev. A [Online]. 63(4), pp. 042307-1-042307-29. Available: http://link.aps.org/ abstract/PRA/v63/e042307
33. R. H. Dicke. (1954). Coherence in spontaneous radiation processes. Phys. Rev. [Online]. 93(1), pp. 99-110. Available: http://link.aip.org/link/?PR/93/99/ 1
34. N. Kiesel, C. Schmid, G. Toth, E. Solano, and H. Weinfurter. (2007). Experimental observation of four-photon entangled Dicke state with high fidelity. Phys. Rev. Lett. [Online]. 98(6), pp. 063604-1-063604-4. Available: http://link.aps.org/abstract/PRL/v98/e063604
35. M. Hein, J. Eisert, and H. J. Briegel. (2004). Multiparty entanglement in graph states. Phys. Rev. A [Online]. 69(6), pp. 062311-1-062311-20. Available: http://link.aps.org/abstract/PRA/v69/e062311
36. M. Hillery, V. Buiek, and A. Berthiaume. (1999). Quantum secret sharing. Phys. Rev. A [Online]. 59(3), pp. 1829-1834. Available: http://link.aps.org/ abstract/PRA/v59/p1829
37. J.-C. Hao, C.-F. Li, and G.-C. Guo. (2001). Controlled dense coding using the Greenberger-Horne-Zeilinger state. Phys. Rev. A [Online]. 63(5), pp. 054301-1-054301-3. Available: http://link.aps.org/abstract/ PRA/v63/e054301
38. J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, and H. Weinfurter. (2009). Revealing anyonic features in a toric code quantum simulation. New. J. Phys. [Online]. 11, pp. 083010-1-083010-10. Available: http://www.iop.org/EJ/abstract/1367-2630/11/8/083010/
39. M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter. (2004). Decoherence-free quantum information processing with four-photon entangled states. Phys. Rev. Lett. [Online]. 92(10), pp. 107901-1-107901-4. Available: http://link.aps.org/abstract/ PRL/v92/e107901
40. M. Eibl, S. Gaertner, M. Bourennane, C. Kurtsiefer, M. Zukowski, and H. Weinfurter. (2003). Experimental observation of fourphoton entanglement from parametric down-conversion. Phys. Rev. Lett. [Online]. 90(20), pp. 200403-1-200403-4. Available: http://link. aps.org/abstract/PRL/v90/e200403
41. J.-S. Xu, C.-F. Li, and G.-C. Guo. (2006). Generation of a highvisibility four-photon entangled state and realization of a four-party quantum communication complexity scenario. Phys. Rev. A [Online]. 74(5), pp. 052311-1-052311-6. Available: http://link.aps.org/abstract/PRA/v74/ e052311
42. N. Kiesel, C. Schmid, U. Weber, R. Ursin, and H. Weinfurter. (2005). Linear optics controlled-phase gate made simple. Phys. Rev. Lett. [Online]. 95(21), pp. 210505-1-210505-4. Available: http://link.aps.org/abstract/PRL/v95/ e210505
43. N. K. Langford, T. J. Weinhold, R. Prevedel, K. J. Resch, A. Gilchrist, J. L. O'Brien, G. J. Pryde, and A. G. White. (2005). Demonstration of a simple entangling optical gate and its use in Bell-state analysis. Phys. Rev. Lett. [Online]. 95(21), pp. 210504-1-210504-4. Available: http://link.aps.org/ abstract/PRL/v95/e210504
44. R. Okamoto, H. F. Hofmann, S. Takeuchi, and K. Sasaki. (2005). Demonstration of an optical quantum controlled-not gate without path interference. Phys. Rev. Lett. [Online]. 95(21), pp. 210506-1-210506-4. Available: http://link.aps.org/abstract/PRL/v95/e210506
45. M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral. (1999). Quantum telecloning and multiparticle entanglement. Phys. Rev. A [Online]. 59(1), pp. 156-161. Available: http://link.aps.org/abstract/PRA/ v59/p156
46. M. Radmark, M. Zukowski, and M. Bourennane. (2009). Experimental test of rotational invariance and entanglement of photonic six-qubit singlet state. arXiv:0903.3188 [quant-ph][Online]. Available: http://arxiv.org/abs/0903.3188
47. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih. (1995). New high-intensity source of polarization-entangled photon pairs. Phys. Rev. Lett. [Online]. 75(24), pp. 4337-4341. Available: http://link.aps.org/abstract/PRL/v75/p4337
48. P. Badziag, C. Brukner, W. Laskowski, T. Paterek, and M. Zukowski. (2008). Experimentally friendly geometrical criteria for entanglement. Phys. Rev. Lett. [Online]. 100(14), pp. 140403-1-140403-4. Available: http://link.aps.org/abstract/PRL/v100/e140403
49. O. Gahne and G. T́oth. (2009). Entanglement detection. Phys. Rep. [Online]. 474, pp. 1-75. Available: http://www.sciencedirect.com/science/ article/B6TVP-4VV2NGM-1/2/c9dbd012ebe762fd1e59139a3e064e60
50. G. T́oth, "Detection of multipartite entanglement in the vicinity of symmetric Dicke states," J. Opt. Soc. Amer. B, vol.24, no.2, pp. 275-282, 2007.
51. M. Bourennane, M. Eibl, C. Kurtsiefer, S. Gaertner, H. Weinfurter, O. Gahne, P. Hyllus, D. Brua M. Lewenstein, and A. Sanpera. (2004). Experimental detection of multipartite entanglement using witness operators. Phys. Rev. Lett. [Online]. 92(8), pp. 087902-087904. Available: http://link.aps.org/abstract/ PRL/v92/e087902
52. G. T́oth, O. Gahne. (2005). Detecting genuine multipartite entanglement with two local measurements. Phys. Rev. Lett. [Online]. 94(6), pp. 060501-1-060501-4. Available: http://link.aps.org/abstract/PRL/v94/ e060501