SCOPUS 정보 검색 플랫폼

Physical Review A

Volumn 52, Issue 6, 1995, Pages 4899-4907

Tomographic reconstruction of the density matrix via pattern functions

(3) Leonhardt, U a Paul, H a Dariano, G M b

a HUMBOLDT UNIVERSITY (Germany)

b Dipartimento di Fisica A Volta (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (OPTICAL); FOURIER TRANSFORMS; HARMONIC GENERATION; IMAGE RECONSTRUCTION; LIGHT; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; OPTICAL DATA PROCESSING; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; QUANTUM THEORY;

DENSITY MATRIX; OPTICAL HOMODYNE TOMOGRAPHY; PATTERN FUNCTIONS; RADON TRANSFORMS; TOMOGRAPHIC RECONSTRUCTION;

QUANTUM OPTICS;

EID: 0029482979 PISSN: 10502947 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevA.52.4899 Document Type: Article

Times cited : (137)

References (72)

1
- 0003429685
- Princeton University Press, Princeton
- (1955) Mathematical Foundations of Quantum Mechanics
- von Neumann, J.¹

2
- 0001965116
- (1957) Rev. Mod. , vol.29 , pp. 74
- Fano, U.¹

3
- 84931524148
- The problem of whether the wave function can be reconstructed from position and momentum distributions was raised by W. Pauli in his article in the Encyclopedia of Physics (Springer, Berlin, 1958), Vol. 5, p. 17.

4
- 0001709976
- (1968) Phys. Rev. , vol.165 , pp. 1434
- Gale, W.¹ Guth, E.² Trammell, G.T.³

5
- 0346659717
- (1978) J. Aust. Math. Soc. B , vol.20 , pp. 182
- Corbett, J.V.¹ Hurst, C.A.²

6
- 0000627204
- (1994) Phys. Rev. A , vol.50 , pp. R921
- Orlowski, A.¹ Paul, H.²

7
- 0001182682
- Reconstruction of the Wavefunction from the Photon Number and Quantum Phase Distributions
- (1994) Journal of Modern Optics , vol.41 , pp. 2203
- Bialynicka Birula, Z.¹ Bialynicki Birula, I.²

8
- 84931524149
- studied the Pauli problem for photon number and phase.

9
- 0007326410
- To our knowledge mostly theoretical work was done on the quantum state reconstruction problem. Fano cite2 suggested a general scheme for reconstructing the density matrix from a set of measured quantities that correspond to orthogonal operators.
- (1970) Found. Phys. , vol.1 , pp. 133
- Band, W.¹ Park, J.L.²

10
- 5844344905
- (1971) Found. Phys. , vol.1 , pp. 211
- Band, W.¹ Park, J.L.²

11
- 21544483156
- (1971) Found. Phys. , vol.1 , pp. 339
- Band, W.¹ Park, J.L.²

12
- 84931536371
- Am. J. Phys. 47, 188 (1979),
- (1979) Am. J. Phys. , vol.47 , pp. 188

13
- 36749113374
- Formal state determination
- developed a method to find a set of observables for the state reconstruction and gave explicit examples for spin case 1/2, spin 1, and one dimensional spinless systems.
- (1983) Journal of Mathematical Physics , vol.24 , pp. 1199
- Ivanović, I.D.¹

14
- 36149039233
- refined this scheme. Based on another paper by
- (1981) J. Phys. A , vol.14 , pp. 3241
- Ivanović, I.D.¹

15
- 84931524150
- Wootters considered the quantum state reconstruction for finite dimensional systems;

16
- 0001538342
- (1986) Found. Phys. , vol.16 , pp. 391
- Wootters, W.K.¹

17
- 33744505701
- (1987) Ann. Phys. (N.Y.) , vol.176 , pp. 1
- Wootters, W.K.¹

18
- 0004586188
- ibid.
- (1989) Ann. Phys. (N.Y.) , vol.191 , pp. 363
- Wootters, W.K.¹ Fields, B.D.²

19
- 0041867855
- (1990) J. Phys. A , vol.23 , pp. 1041
- Larsen, U.¹

20
- 4243691423
- related it to the concept of complementary aspects.
- (1985) Phys. Rev. Lett. , vol.55 , pp. 2745
- Royer, A.¹

21
- 0002645827
- (1989) Found. Phys. , vol.19 , pp. 3
- Royer, A.¹

22
- 0000532470
- ibid.
- (1987) Found. Phys. , vol.17 , pp. 397
- Bertrand, J.¹ Bertrand, P.²

23
- 84931524151
- considered schemes for measuring the Wigner function.

24
- 4244186701
- Recent experimental proposals for measuring the quantum state of radiation can be found in
- (1991) Phys. Rev. A , vol.43 , pp. 3832
- Wilkens, M.¹ Meystre, P.²

25
- 5844270284
- (1994) Phys. Rev. A , vol.49 , pp. 1506
- Dutra, S.M.¹ Knight, P.L.²

26
- 12044253791
- (1994) Phys. Rev. Lett. , vol.72 , pp. 1952
- Freyberger, M.¹ Herkommer, A.M.²

27
- 0001968494
- (1995) Phys. Lett. A , vol.200 , pp. 7
- Baseia, B.¹ Marques, G.C.² Bagnato, V.S.³

28
- 0001016625
- (1995) Phys. Rev. A , vol.51 , pp. 4963
- Bardroff, P.J.¹ Mayr, E.² Schleich, W.P.³

29
- 11744340017
- Quantum state tomography for finite dimensional systems was proposed by
- (1995) Phys. Rev. Lett. , vol.74 , pp. 4101
- Leonhardt, U.¹

30
- 0027560182
- (1993) Phys. Rev. Lett. , vol.70 , pp. 1244
- Smithey, D.T.¹ Beck, M.² Raymer, M.G.³ Faridani, A.⁴

31
- 0027757441
- (1993) Phys. Scr. , vol.48 T , pp. 35
- Smithey, D.T.¹ Beck, M.² Cooper, J.³ Raymer, M.G.⁴ Faridani, A.⁵

33
- 0029230274
- Schemes for measuring the quantum state of light are reviewed in
- (1995) Prog. Quantum. Electron. , vol.19 , pp. 89
- Leonhardt, U.¹ Paul, H.²

34
- 0000613607
- Recently, the experimental reconstruction of the Wigner function for molecular oscillations was reported by
- (1995) Phys. Rev. Lett. , vol.74 , pp. 884
- Dunn, T.J.¹ Walmsley, I.A.² Mukamel, S.³

35
- 23544460852
- (1989) Phys. Rev. A , vol.40 , pp. 2847
- Vogel, K.¹ Risken, H.²

36
- 33745014742
- (1932) Phys. Rev. , vol.40 , pp. 749
- Wigner, E.P.¹

37
- 0001657553
- The Wigner representation of quantum mechanics
- The Wigner representation is reviewed in
- (1983) Uspekhi Fizicheskih Nauk , vol.139 , pp. 587
- Tatarskii, V.I.¹

38
- 84931510621
- (1983) Sov. Phys. Usp. , vol.26 , pp. 311

39
- 34547303281
- (1984) Phys. Rep. , vol.106 , pp. 121
- Hillery, M.¹ O'Connell, R.F.² Scully, M.O.³ Wigner, E.P.⁴

40
- 84956111598
- The phase problem in quantum optics is nicely reviewed in
- (1993) Phys. Scr. , vol.48 T , pp. 13
- Barnett, S.M.¹ Dalton, B.J.²

41
- 3142745698
- (1995) Phys. Rep. , vol.256 , pp. 367
- Lynch, R.¹

42
- 0000899142
- (1993) Phys. Rev. A , vol.48 , pp. R890
- Beck, M.¹ Smithey, D.T.² Raymer, M.G.³

43
- 0027639281
- (1993) Opt. Lett. , vol.18 , pp. 1259
- Beck, M.¹ Smithey, D.T.² Cooper, J.³ Raymer, M.G.⁴

44
- 4243514992
- (1993) Phys. Rev. A , vol.48 , pp. 3159
- Smithey, D.T.¹ Beck, M.² Cooper, J.³ Raymer, M.G.⁴

45
- 84931524153
- In the phase measurement schemes reviewed in Ref. 9 noisy canonical phases are measured;

46
- 0003130033
- (1995) Phys. Rev. A , vol.51 , pp. 84
- Leonhardt, U.¹ Vaccaro, J.A.² Böhmer, B.³ Paul, H.⁴

47
- 33750000743
- (1987) Nature (London) , vol.326 , pp. 574
- Schleich, W.¹ Wheeler, J.A.²

48
- 84975560973
- Oscillations in photon distribution of squeezed states
- (1987) Journal of the Optical Society of America B , vol.4 , pp. 1715
- Schleich, W.¹ Wheeler, J.A.²

49
- 0028546665
- and M.
- (1994) Phys. Rev. A , vol.50 , pp. 4298
- D'Ariano, G.M.¹ Macchiavello, C.² Paris, G.A.³

50
- 0002854281
- Precision of quantum tomographic detection of radiation
- and M.
- (1994) Physics Letters A , vol.195 , pp. 31
- D.'Ariano, G.M.¹ Macchiavello, C.² Paris, G.A.³

51
- 84931524194
- Phys. Rev. A (to be published).
- Munroe, M.¹ Boggavarapu, D.² Anderson, M.E.³ Raymer, M.G.⁴

52
- 84861566147
- Determination of Density Matrices from Field Distributions and Quasiprobabilities
- (1994) Journal of Modern Optics , vol.41 , pp. 1607
- Kühn, H.¹ Welsch, D.G.² Vogel, W.³

53
- 0000824741
- (1995) Phys. Rev. A , vol.51 , pp. 4240
- Kühn, H.¹ Welsh, D.G.² Vogel, W.³

54
- 84931524193
- studied theoretically the state reconstruction of multimode light fields;

55
- 84931524192
- see also Ref. [8].

56
- 5344247147
- Homodyne detection of the density matrix of the radiation field
- For a first communication on our scheme see
- (1995) Physical Review A , vol.52 , pp. R1801
- D.'Ariano, G.M.¹ Leonhardt, U.² Paul, H.³

57
- 84931524191
- Here also the critical detection efficiencies have been considered.

58
- 0000899517
- For an alternative derivation of our results see
- (1995) Acta Phys. Slovaca , vol.45 , pp. 261
- Paul, H.¹ Leonhardt, U.² D'Ariano, G.M.³

59
- 26144445378
- (1993) Phys. Rev. A , vol.48 , pp. 4598
- Leonhardt, U.¹ Paul, H.²

60
- 0011347928
- An alternative loss compensation method has been developed in
- (1995) Acta Phys. Slovaca , vol.45 , pp. 379
- Kiss, T.¹ Leonhardt, U.² Herzog, U.³

61
- 0001402542
- (1995) Phys. Rev. A , vol.52 , pp. 2433
- Kiss, T.¹ Herzog, U.² Leonhardt, U.³

62
- 84931524190
- The overall quantum efficiency of a homodyne detector can be enhanced by using squeezed preamplification, which, however, is difficult to realize experimentally;

63
- 0028443261
- (1994) Phys. Rev. Lett. , vol.72 , pp. 4086
- Leonhardt, U.¹ Paul, H.²

64
- 4243358746
- (1969) Phys. Rev. , vol.177 , pp. 1882
- Cahill, K.E.¹ Glauber, R.J.²

65
- 0009525360
- (1927) Z. Phys. , vol.46 , pp. 1
- Weyl, H.¹

66
- 84931524189
- see also H. Weyl, The Theory of Groups and Quantum Mechanics (Dover, New York, 1950).

67
- 0003625475
- Academic, San Diego
- (1965) Generalized Functions
- Gel'fand, I.M.¹ Shilov, G.E.²

68
- 36149009315
- (1965) Phys. Rev. B , vol.138 , pp. 1566
- Cahill, K.E.¹

69
- 0003914560
- (1975) Phys. Rev. B , vol.12 , pp. 1118
- Bacry, H.¹ Grossmann, A.² Zak, J.³

70
- 84931524188
- Prog. Opt. (to be published).
- Bu uzek, V.¹ Knight, P.L.²

71
- 84931524187
- A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon and Breach, New York, 1992).

72
- 0003864328
- McGraw Hill, New York
- (1955) Higher Transcendental Functions
- Erdélyi, A.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.