-
1
-
-
0346268082
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.40.411
-
P. Carruthers and M. M. Nieto, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.40.411 40, 411 (1968).
-
(1968)
Rev. Mod. Phys.
, vol.40
, pp. 411
-
-
Carruthers, P.1
Nieto, M.M.2
-
2
-
-
3142745698
-
-
PRPLCM 0370-1573 10.1016/0370-1573(94)00095-K
-
R. Lynch, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)00095-K 256, 367 (1995).
-
(1995)
Phys. Rep.
, vol.256
, pp. 367
-
-
Lynch, R.1
-
4
-
-
0001741343
-
-
PRPLCM 1364-5021 10.1098/rspa.1927.0039
-
P. A. M. Dirac, Proc. R. Soc., Ser. A PRPLCM 1364-5021 10.1098/rspa.1927.0039 114, 243 (1927).
-
(1927)
Proc. R. Soc., Ser. A
, vol.114
, pp. 243
-
-
Dirac, P.A.M.1
-
6
-
-
6244277102
-
-
APNYA6 0003-4916 10.1016/0003-4916(76)90283-9
-
J.-M. Lévy-Leblond, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(76)90283-9 101, 319 (1976).
-
(1976)
Ann. Phys.
, vol.101
, pp. 319
-
-
Lévy-Leblond, J.-M.1
-
7
-
-
33749526691
-
-
EULEEJ 0295-5075 10.1209/0295-5075/6/6/002
-
D. T. Pegg and S. M. Barnett, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/6/6/002 6, 483 (1988);
-
(1988)
Europhys. Lett.
, vol.6
, pp. 483
-
-
Pegg, D.T.1
Barnett, S.M.2
-
8
-
-
22244458165
-
-
JMOPEW 0950-0340 10.1080/09500348914550021
-
S. M. Barnett and D. T. Pegg, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500348914550021 36, 7 (1989);
-
(1989)
J. Mod. Opt.
, vol.36
, pp. 7
-
-
Barnett, S.M.1
Pegg, D.T.2
-
9
-
-
18344362202
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.39.1665
-
D. T. Pegg and S. M. Barnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.1665 39, 1665 (1989).
-
(1989)
Phys. Rev. A
, vol.39
, pp. 1665
-
-
Pegg, D.T.1
Barnett, S.M.2
-
10
-
-
0006278237
-
-
JMOPEW 0950-0340 10.1080/09500349014550041
-
J. A. Vaccaro and D. T. Pegg, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349014550041 37, 17 (1990).
-
(1990)
J. Mod. Opt.
, vol.37
, pp. 17
-
-
Vaccaro, J.A.1
Pegg, D.T.2
-
11
-
-
0001300164
-
-
PRVDAQ 1550-7998 10.1103/PhysRevD.36.2399
-
G. D'Ariano, S. Morosi, M. Rasetti, J. Katriel, and A. I. Solomon, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.36.2399 36, 2399 (1987).
-
(1987)
Phys. Rev. D
, vol.36
, pp. 2399
-
-
D'Ariano, G.1
Morosi, S.2
Rasetti, M.3
Katriel, J.4
Solomon, A.I.5
-
12
-
-
1142280242
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.68.062310
-
G. Tóth, C. Simon, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062310 68, 062310 (2003); see also
-
(2003)
Phys. Rev. A
, vol.68
, pp. 062310
-
-
Tóth, G.1
Simon, C.2
Cirac, J.I.3
-
13
-
-
0036878893
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.66.052323
-
C. Simon, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.052323 66, 052323 (2002).
-
(2002)
Phys. Rev. A
, vol.66
, pp. 052323
-
-
Simon, C.1
-
14
-
-
67649480613
-
-
For reviews on quantum entanglement and entanglement criteria, see, RMPHAT 0034-6861 10.1103/RevModPhys.81.865
-
For reviews on quantum entanglement and entanglement criteria, see R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.865 81, 865 (2009);
-
(2009)
Rev. Mod. Phys.
, vol.81
, pp. 865
-
-
Horodecki, R.1
Horodecki, P.2
Horodecki, M.3
Horodecki, K.4
-
15
-
-
64349108096
-
-
PRPLCM 0370-1573 10.1016/j.physrep.2009.02.004
-
O. Gühne and G. Tóth, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.02.004 474, 1 (2009).
-
(2009)
Phys. Rep.
, vol.474
, pp. 1
-
-
Gühne, O.1
Tóth, G.2
-
16
-
-
0242694950
-
-
For entanglement detection based on local uncertainty relations, see, PLRAAN 1050-2947 10.1103/PhysRevA.68.032103
-
For entanglement detection based on local uncertainty relations, see H. F. Hofmann and S. Takeuchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68. 032103 68, 032103 (2003);
-
(2003)
Phys. Rev. A
, vol.68
, pp. 032103
-
-
Hofmann, H.F.1
Takeuchi, S.2
-
17
-
-
2342501807
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.92.117903
-
O. Gühne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 117903 92, 117903 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 117903
-
-
Gühne, O.1
-
18
-
-
70849121932
-
-
For entanglement detection with non-Hermitian operators, see also, PLRAAN 1050-2947 10.1103/PhysRevA.80.052335
-
For entanglement detection with non-Hermitian operators, see also M. Hillery, H. T. Dung, and J. Niset, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.052335 80, 052335 (2009);
-
(2009)
Phys. Rev. A
, vol.80
, pp. 052335
-
-
Hillery, M.1
Dung, H.T.2
Niset, J.3
-
19
-
-
33144463970
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.96.050503
-
M. Hillery and M. S. Zubairy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050503 96, 050503 (2006);
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 050503
-
-
Hillery, M.1
Zubairy, M.S.2
-
20
-
-
28844487354
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.230502
-
E. Shchukin and W. Vogel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.230502 95, 230502 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 230502
-
-
Shchukin, E.1
Vogel, W.2
-
21
-
-
0000693787
-
-
For entanglement conditions with such moments, see, PRLTAO 0031-9007 10.1103/PhysRevLett.84.2722
-
For entanglement conditions with such moments, see L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2722 84, 2722 (2000);
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 2722
-
-
Duan, L.-M.1
Giedke, G.2
Cirac, J.I.3
Zoller, P.4
-
22
-
-
0000588867
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726
-
R. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726 84, 2726 (2000).
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 2726
-
-
Simon, R.1
-
23
-
-
4243865481
-
-
There have been other uncertainty relations in the literature with a bound linear in N. See, PLRAAN 1050-2947 10.1103/PhysRevA.36.3796
-
There have been other uncertainty relations in the literature with a bound linear in N. See M. Hillery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.3796 36, 3796 (1987).
-
(1987)
Phys. Rev. A
, vol.36
, pp. 3796
-
-
Hillery, M.1
-
24
-
-
0000188650
-
-
†. See, for example PLRAAN 1050-2947 10.1103/PhysRevA.31.3068
-
†. See, for example, C. M. Caves and B. L. Schumaker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.3068 31, 3068 (1985);
-
(1985)
Phys. Rev. A
, vol.31
, pp. 3068
-
-
Caves, C.M.1
Schumaker, B.L.2
-
26
-
-
0033337705
-
-
JOBOFD 1464-4266 10.1088/1464-4266/1/2/009
-
T. B. L. Kist, M. Orszag, T. A. Brun, and L. Davidovich, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/1/2/009 1, 251 (1999).
-
(1999)
J. Opt. B
, vol.1
, pp. 251
-
-
Kist, T.B.L.1
Orszag, M.2
Brun, T.A.3
Davidovich, L.4
-
27
-
-
33645780444
-
-
APNYA6 0003-4916 10.1016/j.aop.2005.09.003
-
L. Sanza, M. H. Y. Moussa, and K. Furuya, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2005.09.003 321, 1206 (2006).
-
(2006)
Ann. Phys.
, vol.321
, pp. 1206
-
-
Sanza, L.1
Moussa, M.H.Y.2
Furuya, K.3
-
28
-
-
30244522989
-
-
PYLAAG 0375-9601 10.1016/0375-9601(93)90607-2
-
Y. Salama and N. Gisin, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90607-2 181, 269 (1993).
-
(1993)
Phys. Lett. A
, vol.181
, pp. 269
-
-
Salama, Y.1
Gisin, N.2
-
30
-
-
0000336119
-
-
PRPLCM 0370-1573 10.1016/0370-1573(86)90179-1
-
B. Schumaker, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(86)90179-1 135, 317 (1986).
-
(1986)
Phys. Rep.
, vol.135
, pp. 317
-
-
Schumaker, B.1
-
32
-
-
77952379316
-
-
If the closest point of the curve had (Δa)2<0, we considered the distance from the vertical axis instead. The distance between points A and B was computed as √[(Δa)A2-(Δa)B2]2+[(ΔN)A2-(ΔN)B2] 2.
-
If the closest point of the curve had (Δ a) 2 < 0, we considered the distance from the vertical axis instead. The distance between points A and B was computed as √ [(Δ a) A 2 - (Δ a) B 2] 2 + [(Δ N) A 2 - (Δ N) B 2] 2.
-
-
-
-
33
-
-
0001135483
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.34.3974
-
M. Kitagawa and Y. Yamamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.3974 34, 3974 (1986).
-
(1986)
Phys. Rev. A
, vol.34
, pp. 3974
-
-
Kitagawa, M.1
Yamamoto, Y.2
-
34
-
-
4244040655
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.41.2636
-
G. M. D'Ariano, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.2636 41, 2636 (1990).
-
(1990)
Phys. Rev. A
, vol.41
, pp. 2636
-
-
D'Ariano, G.M.1
-
35
-
-
0000466101
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.64.2771
-
J. Janszky and An. V. Vinogradov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2771 64, 2771 (1990);
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 2771
-
-
Janszky, J.1
Vinogradov, An.V.2
-
36
-
-
33747860939
-
-
PYLAAG 0375-9601 10.1016/0375-9601(91)91057-K
-
P. Adam and J. Janszky, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(91)91057-K 160, 506 (1991);
-
(1991)
Phys. Lett. A
, vol.160
, pp. 506
-
-
Adam, P.1
Janszky, J.2
-
37
-
-
5844403661
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.68.3815
-
M. Orszag, R. Ramirez, J. C. Retamal, and C. Saavedra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3815 68, 3815 (1992);
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 3815
-
-
Orszag, M.1
Ramirez, R.2
Retamal, J.C.3
Saavedra, C.4
-
39
-
-
0042644724
-
-
QUOPET 0954-8998 10.1088/0954-8998/4/3/004
-
J. Janszky, P. Adam, M. Bertolotti, and C. Sibilia, Quantum Opt. QUOPET 0954-8998 10.1088/0954-8998/4/3/004 4, 163 (1992);
-
(1992)
Quantum Opt.
, vol.4
, pp. 163
-
-
Janszky, J.1
Adam, P.2
Bertolotti, M.3
Sibilia, C.4
-
40
-
-
0001748013
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.48.2213
-
J. Janszky, P. Domokos, and P. Adam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.2213 48, 2213 (1993).
-
(1993)
Phys. Rev. A
, vol.48
, pp. 2213
-
-
Janszky, J.1
Domokos, P.2
Adam, P.3
-
41
-
-
0000407239
-
-
AJPIAS 0002-9505 10.1119/1.15631
-
R. W. Henry and S. C. Glozer, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.15631 56, 318 (1988).
-
(1988)
Am. J. Phys.
, vol.56
, pp. 318
-
-
Henry, R.W.1
Glozer, S.C.2
-
43
-
-
25544442961
-
-
JMOPEW 0950-0340 10.1080/09500349014550941
-
P. Král, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349014550941 37, 889 (1990);
-
(1990)
J. Mod. Opt.
, vol.37
, pp. 889
-
-
Král, P.1
-
44
-
-
0000199070
-
-
QUOPET 0954-8998 10.1088/0954-8998/3/6/005
-
A. Wünsche, Quantum Opt. QUOPET 0954-8998 10.1088/0954-8998/3/6/005 3, 359 (1991).
-
(1991)
Quantum Opt.
, vol.3
, pp. 359
-
-
Wünsche, A.1
-
45
-
-
0000236367
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.43.492
-
G. S. Agarwal and K. Tara, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.492 43, 492 (1991);
-
(1991)
Phys. Rev. A
, vol.43
, pp. 492
-
-
Agarwal, G.S.1
Tara, K.2
-
46
-
-
0033531859
-
-
JPHAC5 0305-4470 10.1088/0305-4470/32/18/317
-
S. Sivakumar, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/18/317 32, 3441 (1999);
-
(1999)
J. Phys. A
, vol.32
, pp. 3441
-
-
Sivakumar, S.1
-
47
-
-
7444243858
-
-
SCIEAS 0036-8075 10.1126/science.1103190
-
A. Zavatta, S. Viciani, and M. Bellini, Science SCIEAS 0036-8075 10.1126/science.1103190 306, 660 (2004).
-
(2004)
Science
, vol.306
, pp. 660
-
-
Zavatta, A.1
Viciani, S.2
Bellini, M.3
-
48
-
-
0000225206
-
-
JMAPAQ 0022-2488 10.1063/1.1664585
-
R. Jackiw, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664585 9, 339 (1968).
-
(1968)
J. Math. Phys.
, vol.9
, pp. 339
-
-
Jackiw, R.1
-
49
-
-
33645215486
-
-
JMAPAQ 1098-0121 10.1103/PhysRevB.40.546
-
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B JMAPAQ 1098-0121 10.1103/PhysRevB.40.546 40, 546 (1989);
-
(1989)
Phys. Rev. B
, vol.40
, pp. 546
-
-
Fisher, M.P.A.1
Weichman, P.B.2
Grinstein, G.3
Fisher, D.S.4
-
50
-
-
77956317907
-
-
EULEEJ 0295-5075 10.1209/0295-5075/22/4/004
-
K. Sheshadri, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/22/4/004 22, 257 (1993);
-
(1993)
Europhys. Lett.
, vol.22
, pp. 257
-
-
Sheshadri, K.1
-
51
-
-
71549145744
-
-
EULEEJ 0295-5075 10.1209/0295-5075/26/7/012
-
J. K. Freericks and H. Monien, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/26/7/012 26, 545 (1994);
-
(1994)
Europhys. Lett.
, vol.26
, pp. 545
-
-
Freericks, J.K.1
Monien, H.2
-
52
-
-
0000885735
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.80.2189
-
L. Amico and V. Penna, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2189 80, 2189 (1998);
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 2189
-
-
Amico, L.1
Penna, V.2
-
53
-
-
7244221608
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108
-
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3108
-
-
Jaksch, D.1
Bruder, C.2
Cirac, J.I.3
Gardiner, C.W.4
Zoller, P.5
-
54
-
-
77952391171
-
-
(private communication).
-
J. J. García-Ripoll (private communication).
-
-
-
García-Ripoll, J.J.1
-
55
-
-
0037996890
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.75.281
-
D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.281 75, 281 (2003).
-
(2003)
Rev. Mod. Phys.
, vol.75
, pp. 281
-
-
Leibfried, D.1
Blatt, R.2
Monroe, C.3
Wineland, D.4
-
57
-
-
73849135268
-
-
For recent experiments with a single ion, showing the measurement of x and p, see 0028-0836 10.1038/nature08688
-
For recent experiments with a single ion, showing the measurement of x and p, see R. Gerritsma, G. Kirchmair, F. Zähringer, E. Solano, R. Blatt, and C. F. Roos, Nature (London) 0028-0836 10.1038/nature08688 463, 68 (2010);
-
(2010)
Nature (London)
, vol.463
, pp. 68
-
-
Gerritsma, R.1
Kirchmair, G.2
Zähringer, F.3
Solano, E.4
Blatt, R.5
Roos, C.F.6
-
58
-
-
77749280134
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.104.100503
-
F. Zähringer, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, and C. F. Roos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.100503 104, 100503 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 100503
-
-
Zähringer, F.1
Kirchmair, G.2
Gerritsma, R.3
Solano, E.4
Blatt, R.5
Roos, C.F.6
-
60
-
-
0033246313
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.71.463
-
F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.463 71, 463 (1999).
-
(1999)
Rev. Mod. Phys.
, vol.71
, pp. 463
-
-
Dalfovo, F.1
Giorgini, S.2
Pitaevskii, L.P.3
Stringari, S.4
-
61
-
-
33644783589
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.96.090401
-
F. Gerbier, S. Fölling, A. Widera, O. Mandel, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.090401 96, 090401 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 090401
-
-
Gerbier, F.1
Fölling, S.2
Widera, A.3
Mandel, O.4
Bloch, I.5
-
62
-
-
0034499498
-
-
If N1 N2 then J -=(Jx, Jy, Jz) points almost in the -z direction. It is well known that such systems can be mapped to a harmonic oscillator. In this case, Jx and Jy play the roles of x and p, respectively. See , PRLTAO 0031-9007 10.1103/PhysRevLett.85.5643
-
If N1 N2 then J -=(Jx, Jy, Jz) points almost in the -z direction. It is well known that such systems can be mapped to a harmonic oscillator. In this case, Jx and Jy play the roles of x and p, respectively. See, L.-M. Duan, J. I. Cirac, P. Zoller, and E. S. Polzik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5643 85, 5643 (2000).
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 5643
-
-
Duan, L.-M.1
Cirac, J.I.2
Zoller, P.3
Polzik, E.S.4
|