Optimal processing of quantum information via W-type entangled coherent states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 2, 2004, Pages 223151-223159

  An, Nguyen Ba ^a  

^a Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; LIGHT POLARIZATION; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; OPTICAL BEAM SPLITTERS; OPTIMIZATION; PARAMETER ESTIMATION; PHOTODETECTORS; PHOTONS; PROBABILITY; PROBLEM SOLVING;

COHERENT STATES; QUANTUM INFORMATION;

QUANTUM THEORY;

EID: 1942508168     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (59)

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19. P.T. Cochrane, G.J. Milburn, and W.J. Munro, Phys. Rev. A 59, 2631 (1999); D. Gottesman, A. Kitaev, and J. Preskill, ibid. 64, 012310 (2001); T.C. Ralph, W.J. Munro, and G.J. Milburn, Proc. SPIE 4917, 1 (2002); H. Jeong and M.S. Kim, Phys. Rev. A 65, 042305 (2001).
20. P.T. Cochrane, G.J. Milburn, and W.J. Munro, Phys. Rev. A 59, 2631 (1999); D. Gottesman, A. Kitaev, and J. Preskill, ibid. 64, 012310 (2001); T.C. Ralph, W.J. Munro, and G.J. Milburn, Proc. SPIE 4917, 1 (2002); H. Jeong and M.S. Kim, Phys. Rev. A 65, 042305 (2001).
21. P.T. Cochrane, G.J. Milburn, and W.J. Munro, Phys. Rev. A 59, 2631 (1999); D. Gottesman, A. Kitaev, and J. Preskill, ibid. 64, 012310 (2001); T.C. Ralph, W.J. Munro, and G.J. Milburn, Proc. SPIE 4917, 1 (2002); H. Jeong and M.S. Kim, Phys. Rev. A 65, 042305 (2001).
22. B.C. Sanders, Phys. Rev. A 45, 6811 (1992); B.C. Sanders, K.S. Lee, and M.S. Kim, ibid. 52, 735 (1995); W.J. Munro, G.J. Milburn, and B.C. Sanders, ibid. 62, 052108 (2000); J. Clausen, L. Knoll, and D.-G. Welsch, ibid. 66, 062303 (2002); H. Jeong and M.S. Kim, Quantum Inf. Comput. 2, 208 (2002).
23. B.C. Sanders, Phys. Rev. A 45, 6811 (1992); B.C. Sanders, K.S. Lee, and M.S. Kim, ibid. 52, 735 (1995); W.J. Munro, G.J. Milburn, and B.C. Sanders, ibid. 62, 052108 (2000); J. Clausen, L. Knoll, and D.-G. Welsch, ibid. 66, 062303 (2002); H. Jeong and M.S. Kim, Quantum Inf. Comput. 2, 208 (2002).
24. B.C. Sanders, Phys. Rev. A 45, 6811 (1992); B.C. Sanders, K.S. Lee, and M.S. Kim, ibid. 52, 735 (1995); W.J. Munro, G.J. Milburn, and B.C. Sanders, ibid. 62, 052108 (2000); J. Clausen, L. Knoll, and D.-G. Welsch, ibid. 66, 062303 (2002); H. Jeong and M.S. Kim, Quantum Inf. Comput. 2, 208 (2002).
25. B.C. Sanders, Phys. Rev. A 45, 6811 (1992); B.C. Sanders, K.S. Lee, and M.S. Kim, ibid. 52, 735 (1995); W.J. Munro, G.J. Milburn, and B.C. Sanders, ibid. 62, 052108 (2000); J. Clausen, L. Knoll, and D.-G. Welsch, ibid. 66, 062303 (2002); H. Jeong and M.S. Kim, Quantum Inf. Comput. 2, 208 (2002).
26. B.C. Sanders, Phys. Rev. A 45, 6811 (1992); B.C. Sanders, K.S. Lee, and M.S. Kim, ibid. 52, 735 (1995); W.J. Munro, G.J. Milburn, and B.C. Sanders, ibid. 62, 052108 (2000); J. Clausen, L. Knoll, and D.-G. Welsch, ibid. 66, 062303 (2002); H. Jeong and M.S. Kim, Quantum Inf. Comput. 2, 208 (2002).
27. We call states (4) GHZ-type ECS's because of their formal resemblance with the discrete-variable Greenberger-Horne-Zeilinger state, i.e., GHZ-state, introduced by D. M. Greenberger, M.A. Home, and A. Zeilinger, in Bell's Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kafatos (Kluwer, Dordrecht, 1989), p. 69.
28. S.J. van Enk and O. Hirota, Phys. Rev. A 64, 022313 (2001); X. Wang, ibid. 64, 022302 (2001); H. Jeong, M.S. Kim, and J. Lee, ibid. 64, 052308 (2001); T.J. Johnson, S.D. Bartlett, and B.C. Sanders, ibid. 66, 042326 (2002).
29. S.J. van Enk and O. Hirota, Phys. Rev. A 64, 022313 (2001); X. Wang, ibid. 64, 022302 (2001); H. Jeong, M.S. Kim, and J. Lee, ibid. 64, 052308 (2001); T.J. Johnson, S.D. Bartlett, and B.C. Sanders, ibid. 66, 042326 (2002).
30. S.J. van Enk and O. Hirota, Phys. Rev. A 64, 022313 (2001); X. Wang, ibid. 64, 022302 (2001); H. Jeong, M.S. Kim, and J. Lee, ibid. 64, 052308 (2001); T.J. Johnson, S.D. Bartlett, and B.C. Sanders, ibid. 66, 042326 (2002).
31. S.J. van Enk and O. Hirota, Phys. Rev. A 64, 022313 (2001); X. Wang, ibid. 64, 022302 (2001); H. Jeong, M.S. Kim, and J. Lee, ibid. 64, 052308 (2001); T.J. Johnson, S.D. Bartlett, and B.C. Sanders, ibid. 66, 042326 (2002).
32. We call states (5) W-type ECS's because of their formal resemblance with the discrete-variable Wolfgang state, i.e., W state, introduced by W. Dur, G. Vidal, and J.I. Cirac, Phys. Rev. A 62, 062314 (2000).
33. V.N. Gorbachev, A.I. Trubilko, and A.I. Zhiliba, J. Opt. B: Quantum Semiclassical Opt. 3, S25 (2001); B.S. Shi and A. Tomita, Phys. Lett. A 296, 161 (2002); J. Joo and Y.J. Park, ibid. 300, 324 (2002); V.N. Gorbachev, A.I. Trubilko, and A.A. Rodichkina, Opt. Spectrosc. 94, 706 (2003); J. Joo, J. Lee, J. Jang, and Y.J. Park, e-print quant-ph/0204003; J. Joo, Y.J. Park, S. Oh, and J. Kim, New J. Phys. 5, 136 (2003).
34. V.N. Gorbachev, A.I. Trubilko, and A.I. Zhiliba, J. Opt. B: Quantum Semiclassical Opt. 3, S25 (2001); B.S. Shi and A. Tomita, Phys. Lett. A 296, 161 (2002); J. Joo and Y.J. Park, ibid. 300, 324 (2002); V.N. Gorbachev, A.I. Trubilko, and A.A. Rodichkina, Opt. Spectrosc. 94, 706 (2003); J. Joo, J. Lee, J. Jang, and Y.J. Park, e-print quant-ph/0204003; J. Joo, Y.J. Park, S. Oh, and J. Kim, New J. Phys. 5, 136 (2003).
35. V.N. Gorbachev, A.I. Trubilko, and A.I. Zhiliba, J. Opt. B: Quantum Semiclassical Opt. 3, S25 (2001); B.S. Shi and A. Tomita, Phys. Lett. A 296, 161 (2002); J. Joo and Y.J. Park, ibid. 300, 324 (2002); V.N. Gorbachev, A.I. Trubilko, and A.A. Rodichkina, Opt. Spectrosc. 94, 706 (2003); J. Joo, J. Lee, J. Jang, and Y.J. Park, e-print quant-ph/0204003; J. Joo, Y.J. Park, S. Oh, and J. Kim, New J. Phys. 5, 136 (2003).
36. V.N. Gorbachev, A.I. Trubilko, and A.I. Zhiliba, J. Opt. B: Quantum Semiclassical Opt. 3, S25 (2001); B.S. Shi and A. Tomita, Phys. Lett. A 296, 161 (2002); J. Joo and Y.J. Park, ibid. 300, 324 (2002); V.N. Gorbachev, A.I. Trubilko, and A.A. Rodichkina, Opt. Spectrosc. 94, 706 (2003); J. Joo, J. Lee, J. Jang, and Y.J. Park, e-print quant-ph/0204003; J. Joo, Y.J. Park, S. Oh, and J. Kim, New J. Phys. 5, 136 (2003).
37. V.N. Gorbachev, A.I. Trubilko, and A.I. Zhiliba, J. Opt. B: Quantum Semiclassical Opt. 3, S25 (2001); B.S. Shi and A. Tomita, Phys. Lett. A 296, 161 (2002); J. Joo and Y.J. Park, ibid. 300, 324 (2002); V.N. Gorbachev, A.I. Trubilko, and A.A. Rodichkina, Opt. Spectrosc. 94, 706 (2003); J. Joo, J. Lee, J. Jang, and Y.J. Park, e-print quant-ph/0204003; J. Joo, Y.J. Park, S. Oh, and J. Kim, New J. Phys. 5, 136 (2003).
38. V.N. Gorbachev, A.I. Trubilko, and A.I. Zhiliba, J. Opt. B: Quantum Semiclassical Opt. 3, S25 (2001); B.S. Shi and A. Tomita, Phys. Lett. A 296, 161 (2002); J. Joo and Y.J. Park, ibid. 300, 324 (2002); V.N. Gorbachev, A.I. Trubilko, and A.A. Rodichkina, Opt. Spectrosc. 94, 706 (2003); J. Joo, J. Lee, J. Jang, and Y.J. Park, e-print quant-ph/0204003; J. Joo, Y.J. Park, S. Oh, and J. Kim, New J. Phys. 5, 136 (2003).
39. Nguyen Ba An, Phys. Rev. A 68, 022321 (2003).
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41. O. Cohen and T.A. Brun, Phys. Rev. Lett. 84, 5908 (2000).
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44. A.K. Pati and Pramana, J. Phys. 59, 217 (2002).
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47. M. Paternostro, M.S. Kim, and B.S. Ham, Phys. Rev. A 67, 023811 (2003).
48. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
49. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
50. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
51. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
52. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
53. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
54. O.P. Guo, C.F. Li, J. Li, and G.C. Guo, Phys. Rev. A 65, 042102 (2002); G.C. Guo and Y.S. Zhang, ibid. 65, 054302 (2002); X.B. Zou, K. Pahlke, and W. Mathis, ibid. 66, 044302 (2002); T. Yamamoto, K. Tamaki, M. Koashi, and N. Imoto, ibid. 66, 064301 (2002); X. Wang, M. Feng and B.C. Sanders, ibid. 67, 022302 (2003); L.F. Santos, ibid. 67, 062306 (2003); G.Y. Xiang, Y.S. Zhang, J. Li, and G.C. Guo, J. Opt. B: Quantum Semiclassical Opt. 5, 208 (2003).
55. B.C. Sanders and D.A. Rice, Phys. Rev. A 61, 013805 (1999); X. Wang and B.C. Sanders, ibid. 65, 012303 (2002); X. Wang, J. Phys. A 35, 165 (2002); S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); Nguyen Ba An and J. Kirn, e-print quant-ph/0303149.
56. B.C. Sanders and D.A. Rice, Phys. Rev. A 61, 013805 (1999); X. Wang and B.C. Sanders, ibid. 65, 012303 (2002); X. Wang, J. Phys. A 35, 165 (2002); S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); Nguyen Ba An and J. Kirn, e-print quant-ph/0303149.
57. B.C. Sanders and D.A. Rice, Phys. Rev. A 61, 013805 (1999); X. Wang and B.C. Sanders, ibid. 65, 012303 (2002); X. Wang, J. Phys. A 35, 165 (2002); S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); Nguyen Ba An and J. Kirn, e-print quant-ph/0303149.
58. B.C. Sanders and D.A. Rice, Phys. Rev. A 61, 013805 (1999); X. Wang and B.C. Sanders, ibid. 65, 012303 (2002); X. Wang, J. Phys. A 35, 165 (2002); S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); Nguyen Ba An and J. Kirn, e-print quant-ph/0303149.
59. B.C. Sanders and D.A. Rice, Phys. Rev. A 61, 013805 (1999); X. Wang and B.C. Sanders, ibid. 65, 012303 (2002); X. Wang, J. Phys. A 35, 165 (2002); S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); Nguyen Ba An and J. Kirn, e-print quant-ph/0303149.