-
1
-
-
0003462953
-
-
Wiley, New York
-
H.L. Van Trees, Detection, Estimation, and Modulation Theory, Part I (Wiley, New York, 2001).
-
(2001)
Detection, Estimation, and Modulation Theory, Part i
-
-
Van Trees, H.L.1
-
3
-
-
84937349365
-
-
IETTAW 0018-9448 10.1109/TIT.1969.1054301
-
J. Ziv and M. Zakai, IEEE Trans. Inform. Theor. 15, 386 (1969); IETTAW 0018-9448 10.1109/TIT.1969.1054301
-
(1969)
IEEE Trans. Inform. Theor.
, vol.15
, pp. 386
-
-
Ziv, J.1
Zakai, M.2
-
4
-
-
0014712123
-
-
IEEPAD 0018-9219 10.1109/PROC.1970.7720
-
L.P. Seidman, Proc. IEEE 58, 644 (1970); IEEPAD 0018-9219 10.1109/PROC.1970.7720
-
(1970)
Proc. IEEE
, vol.58
, pp. 644
-
-
Seidman, L.P.1
-
6
-
-
0016034562
-
-
IECMBT 0090-6778 10.1109/TCOM.1974.1092192
-
S. Bellini and G. Tartara, IEEE Trans. Commun. 22, 340 (1974); IECMBT 0090-6778 10.1109/TCOM.1974.1092192
-
(1974)
IEEE Trans. Commun.
, vol.22
, pp. 340
-
-
Bellini, S.1
Tartara, G.2
-
7
-
-
0023982878
-
Relations between belini-tartara, chazan-zakai-ziv, and wax-ziv lower bounds
-
DOI 10.1109/18.2648
-
E. Weinstein, IEEE Trans. Inform. Theor. 34, 342 (1988). IETTAW 0018-9448 10.1109/18.2648 (Pubitemid 18639992)
-
(1988)
IEEE Transactions on Information Theory
, vol.34
, Issue.2
, pp. 342-343
-
-
Weinstein, E.1
-
8
-
-
0001767173
-
-
PRVDAQ 0556-2821 10.1103/PhysRevD.57.4588
-
D. Nicholson and A. Vecchio, Phys. Rev. D 57, 4588 (1998); PRVDAQ 0556-2821 10.1103/PhysRevD.57.4588
-
(1998)
Phys. Rev. D
, vol.57
, pp. 4588
-
-
Nicholson, D.1
Vecchio, A.2
-
9
-
-
79959833800
-
-
MNRAA4 0035-8711 10.1111/j.1365-2966.2011.18622.x
-
K.J. Lee, Mon. Not. R. Astron. Soc. 414, 3251 (2011). MNRAA4 0035-8711 10.1111/j.1365-2966.2011.18622.x
-
(2011)
Mon. Not. R. Astron. Soc.
, vol.414
, pp. 3251
-
-
Lee, K.J.1
-
10
-
-
8844286884
-
Quantum-enhanced measurements: Beating the standard quantum limit
-
DOI 10.1126/science.1104149
-
V. Giovannetti, S. Lloyd, and L. Maccone, Science 306, 1330 (2004); SCIEAS 0036-8075 10.1126/science.1104149 (Pubitemid 39534415)
-
(2004)
Science
, vol.306
, Issue.5700
, pp. 1330-1336
-
-
Giovannetti, V.1
Lloyd, S.2
Maccone, L.3
-
15
-
-
0015681548
-
-
IETTAW 0018-9448 10.1109/TIT.1973.1055103
-
H.P. Yuen and M. Lax, IEEE Trans. Inform. Theor. 19, 740 (1973). IETTAW 0018-9448 10.1109/TIT.1973.1055103
-
(1973)
IEEE Trans. Inform. Theor.
, vol.19
, pp. 740
-
-
Yuen, H.P.1
Lax, M.2
-
16
-
-
79952293405
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.106.090401
-
M. Tsang, H.M. Wiseman, and C.M. Caves, Phys. Rev. Lett. 106, 090401 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.090401
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 090401
-
-
Tsang, M.1
Wiseman, H.M.2
Caves, C.M.3
-
17
-
-
0000519707
-
-
This Letter defines the tightness of a bound by comparing the bound to the achievable error. A QCRB is always less tight to the error than the classical CRB for a particular measurement strategy; see, PRLTAO 0031-9007 10.1103/PhysRevLett.72.3439
-
This Letter defines the tightness of a bound by comparing the bound to the achievable error. A QCRB is always less tight to the error than the classical CRB for a particular measurement strategy; see S.L. Braunstein and C.M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 72, 3439 (1994). 10.1103/PhysRevLett.72.3439
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 3439
-
-
Braunstein, S.L.1
Caves, C.M.2
-
18
-
-
79960633212
-
-
This has motivated many studies [see, for example, PRLTAO 0031-9007 10.1103/PhysRevLett.106.153603
-
This has motivated many studies [see, for example, M.G. Genoni, S. Olivares, and M.G.A. Paris, Phys. Rev. Lett. PRLTAO 0031-9007 106, 153603 (2011)] that analyze the tightness of a QCRB relative to a classical CRB, but the QCRB cannot be tight to the error if the classical CRB is not. 10.1103/PhysRevLett.106.153603
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 153603
-
-
Genoni, M.G.1
Olivares, S.2
Paris, M.G.A.3
-
20
-
-
8544230516
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.43.3795
-
J.H. Shapiro and S.R. Shepard, Phys. Rev. A 43, 3795 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.43.3795
-
(1991)
Phys. Rev. A
, vol.43
, pp. 3795
-
-
Shapiro, J.H.1
Shepard, S.R.2
-
21
-
-
77949341679
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.104.103602
-
P.M. Anisimov, G.M. Raterman, A. Chiruvelli, W.N. Plick, S.D. Huver, H. Lee, and J.P. Dowling, Phys. Rev. Lett. 104, 103602 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.104.103602
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 103602
-
-
Anisimov, P.M.1
Raterman, G.M.2
Chiruvelli, A.3
Plick, W.N.4
Huver, S.D.5
Lee, H.6
Dowling, J.P.7
-
22
-
-
84861893139
-
-
arXiv:1105.2990.
-
Y.R. Zhang, arXiv:1105.2990.
-
-
-
Zhang, Y.R.1
-
23
-
-
84861893136
-
-
A. Rivas and A. Luis, arXiv:1105.6310
-
A. Rivas and A. Luis, arXiv:1105.6310.
-
-
-
-
25
-
-
84859790461
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.85.043817
-
M. Genoni, S. Olivares, D. Brivio, S. Cialdi, D. Cipriani, A. Santamato, S. Vexxoli, and M. Paris, Phys. Rev. A 85, 043817 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.043817
-
(2012)
Phys. Rev. A
, vol.85
, pp. 043817
-
-
Genoni, M.1
Olivares, S.2
Brivio, D.3
Cialdi, S.4
Cipriani, D.5
Santamato, A.6
Vexxoli, S.7
Paris, M.8
-
26
-
-
0039384163
-
-
PYLAAG 0375-9601 10.1016/S0375-9601(96)00862-6
-
M.G.A. Paris, Phys. Lett. A 225, 23 (1997); PYLAAG 0375-9601 10.1016/S0375-9601(96)00862-6
-
(1997)
Phys. Lett. A
, vol.225
, pp. 23
-
-
Paris, M.G.A.1
-
27
-
-
0000721494
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.77.2352
-
Z.Y. Ou, Phys. Rev. Lett. 77, 2352 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.2352
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2352
-
-
Ou, Z.Y.1
-
28
-
-
0001489269
-
-
PLRAAN 0556-2791 10.1103/PhysRevA.33.4033
-
B. Yurke, S.L. McCall, and J.R. Klauder, Phys. Rev. A 33, 4033 (1986); PLRAAN 0556-2791 10.1103/PhysRevA.33.4033
-
(1986)
Phys. Rev. A
, vol.33
, pp. 4033
-
-
Yurke, B.1
McCall, S.L.2
Klauder, J.R.3
-
29
-
-
4243651699
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.75.2944
-
B.C. Sanders and G.J. Milburn, Phys. Rev. Lett. 75, 2944 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.75.2944
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 2944
-
-
Sanders, B.C.1
Milburn, G.J.2
-
30
-
-
0000721494
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.77.2352
-
Z.Y. Ou, Phys. Rev. Lett. 77, 2352 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.2352
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2352
-
-
Ou, Z.Y.1
-
31
-
-
0000755780
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.55.2598
-
Z.Y. Ou Phys. Rev. A 55, 2598 (1997); PLRAAN 1050-2947 10.1103/PhysRevA.55.2598
-
(1997)
Phys. Rev. A
, vol.55
, pp. 2598
-
-
Ou, Z.Y.1
-
32
-
-
0001119252
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.54.R4649
-
J.J. Bollinger, W.M. Itano, D.J. Wineland, and D.J. Heinzen, Phys. Rev. A 54, R4649 (1996); PLRAAN 1050-2947 10.1103/PhysRevA.54.R4649
-
(1996)
Phys. Rev. A
, vol.54
, pp. 4649
-
-
Bollinger, J.J.1
Itano, W.M.2
Wineland, D.J.3
Heinzen, D.J.4
-
33
-
-
77957173724
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.120501
-
P. Hyllus, L. Pezzé, and A. Smerzi, Phys. Rev. Lett. 105, 120501 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.105.120501
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 120501
-
-
Hyllus, P.1
Pezzé, L.2
Smerzi, A.3
-
34
-
-
78049233268
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.180402
-
M. Zwierz, C.A. Peez-Delgado, and P. Kok, Phys. Rev. Lett. 105, 180402 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.105.180402
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 180402
-
-
Zwierz, M.1
Peez-Delgado, C.A.2
Kok, P.3
-
36
-
-
84861889384
-
-
V. Giovannetti, S. Lloyd, and L. Maccone, arXiv:1109.5661
-
V. Giovannetti, S. Lloyd, and L. Maccone, arXiv:1109.5661.
-
-
-
-
37
-
-
84859999883
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.85.041802
-
M.J.W. Hall, D.W. Berry, M. Zwierz, and H.M. Wiseman, Phys. Rev. A 85, 041802(R) (2012); PLRAAN 1050-2947 10.1103/PhysRevA.85.041802
-
(2012)
Phys. Rev. A
, vol.85
-
-
Hall, M.J.W.1
Berry, D.W.2
Zwierz, M.3
Wiseman, H.M.4
-
38
-
-
0001050030
-
-
JMOPEW 0950-0340 10.1080/09500349314550841
-
M.J.W. Hall, J. Mod. Opt. 40, 809 (1993). JMOPEW 0950-0340 10.1080/09500349314550841
-
(1993)
J. Mod. Opt.
, vol.40
, pp. 809
-
-
Hall, M.J.W.1
-
39
-
-
84861901717
-
-
See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.230401 for supporting calculations.
-
-
-
-
41
-
-
0030577976
-
Generalized uncertainty relations: Theory, examples, and Lorentz invariance
-
DOI 10.1006/aphy.1996.0040
-
S.L. Braunstein, C.M. Caves, and G.J. Milburn, Ann. Phys. 247, 135 (1996). APNYA6 0003-4916 10.1006/aphy.1996.0040 (Pubitemid 126168681)
-
(1996)
Annals of Physics
, vol.247
, Issue.1
, pp. 135-173
-
-
Braunstein, S.L.1
Caves, C.M.2
Milburn, G.J.3
-
42
-
-
0038445852
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.67.052109
-
V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. A 67, 052109 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.052109
-
(2003)
Phys. Rev. A
, vol.67
, pp. 052109
-
-
Giovannetti, V.1
Lloyd, S.2
MacCone, L.3
-
43
-
-
33847676717
-
Generalized limits for single-parameter quantum estimation
-
DOI 10.1103/PhysRevLett.98.090401
-
S. Boixo, S.T. Flammia, C.M. Caves, and J.M. Geremia, Phys. Rev. Lett. 98, 090401 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.090401 (Pubitemid 46353833)
-
(2007)
Physical Review Letters
, vol.98
, Issue.9
, pp. 090401
-
-
Boixo, S.1
Flammia, S.T.2
Caves, C.M.3
Geremia, J.M.4
-
44
-
-
51249190963
-
-
NCIAAT 0369-3546 10.1007/BF02819419
-
G.H. Fleming, Nuovo Cimento Soc. Ital. Fis. 16A, 232 (1973). NCIAAT 0369-3546 10.1007/BF02819419
-
(1973)
Nuovo Cimento Soc. Ital. Fis.
, vol.16
, pp. 232
-
-
Fleming, G.H.1
-
45
-
-
0009163886
-
-
0031-8949 10.1088/0031-8949/1993/T48/019
-
M.J. Collett, Phys. Scr. T48, 124 (1993); 0031-8949 10.1088/0031-8949/ 1993/T48/019
-
(1993)
Phys. Scr.
, vol.48
, pp. 124
-
-
Collett, M.J.1
-
46
-
-
0000777950
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.57.2169
-
H.M. Wiseman and R.B. Killip, Phys. Rev. A 57, 2169 (1998); PLRAAN 1050-2947 10.1103/PhysRevA.57.2169
-
(1998)
Phys. Rev. A
, vol.57
, pp. 2169
-
-
Wiseman, H.M.1
Killip, R.B.2
-
47
-
-
4243734751
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.63.013813
-
D.W. Berry and H.M. Wiseman, Phys. Rev. A 63, 013813 (2000); PLRAAN 1050-2947 10.1103/PhysRevA.63.013813
-
(2000)
Phys. Rev. A
, vol.63
, pp. 013813
-
-
Berry, D.W.1
Wiseman, H.M.2
-
48
-
-
56849121847
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.78.053820
-
M. Tsang, J.H. Shapiro, and S. Lloyd, Phys. Rev. A 78, 053820 (2008); PLRAAN 1050-2947 10.1103/PhysRevA.78.053820
-
(2008)
Phys. Rev. A
, vol.78
, pp. 053820
-
-
Tsang, M.1
Shapiro, J.H.2
Lloyd, S.3
-
49
-
-
66349088495
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.79.053843
-
M. Tsang J.H. Shapiro S. Lloyd Phys. Rev. A 79, 053843 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.053843
-
(2009)
Phys. Rev. A
, vol.79
, pp. 053843
-
-
Tsang, M.1
Shapiro, J.H.2
Lloyd, S.3
-
50
-
-
84860273458
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.108.170502
-
M. Tsang, Phys. Rev. Lett. 108, 170502 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.170502
-
(2012)
Phys. Rev. Lett.
, vol.108
, pp. 170502
-
-
Tsang, M.1
|