-
1
-
-
38849107497
-
Uncertainty principle with quantum Fisher information
-
Andai, A.: Uncertainty principle with quantum Fisher information. J. Math. Phys. 49, 012106 (2008)
-
(2008)
J. Math. Phys.
, vol.49
, pp. 012106
-
-
Andai, A.1
-
3
-
-
30644467519
-
r statistics, coherent states and Robertson uncertainty relations
-
r statistics, coherent states and Robertson uncertainty relations. J. Phys. A Math. Gen. 39, 889-901 (2006)
-
(2006)
J. Phys. A Math. Gen.
, vol.39
, pp. 889-901
-
-
Daoud, M.1
-
4
-
-
12844256954
-
Separability dynamics of two-mode Gaussian states in parametric conversion and amplification
-
Dodonov, A.V., Dodonov, V.V., Mizrahi, S.S.: Separability dynamics of two-mode Gaussian states in parametric conversion and amplification. J. Phys. A Math. Gen. 38, 683-696 (2005)
-
(2005)
J. Phys. A Math. Gen.
, vol.38
, pp. 683-696
-
-
Dodonov, A.V.1
Dodonov, V.V.2
Mizrahi, S.S.3
-
5
-
-
33847237288
-
Uncertainty principle and quantum Fisher information
-
Gibilisco, P., Isola, T.: Uncertainty principle and quantum Fisher information. Ann. Inst. Stat. Math 59, 147-159 (2007)
-
(2007)
Ann. Inst. Stat. Math
, vol.59
, pp. 147-159
-
-
Gibilisco, P.1
Isola, T.2
-
6
-
-
44349086574
-
Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras
-
1
-
Gibilisco, P., Isola, T.: Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11(1), 127-133 (2008)
-
(2008)
Infin. Dimens. Anal. Quantum Probab. Relat. Top.
, vol.11
, pp. 127-133
-
-
Gibilisco, P.1
Isola, T.2
-
7
-
-
50249159741
-
An inequality related to uncertainty principle in von Neumann algebras
-
to appear arXiv:0804.2651v1
-
Gibilisco, P., Isola, T.: An inequality related to uncertainty principle in von Neumann algebras. Int. J. Math. (2008, to appear). arXiv:0804.2651v1
-
(2008)
Int. J. Math.
-
-
Gibilisco, P.1
Isola, T.2
-
8
-
-
52949122525
-
-
arXiv:0712.1208v1
-
Gibilisco, P., Hiai, F., Petz, D.: Quantum covariance, quantum Fisher information and the uncertainty principle. arXiv:0712.1208v1 (2007)
-
(2007)
Quantum Covariance, Quantum Fisher Information and the Uncertainty Principle
-
-
Gibilisco, P.1
Hiai, F.2
Petz, D.3
-
9
-
-
34547558280
-
Uncertainty principle and quantum Fisher information, II
-
Gibilisco, P., Imparato, D., Isola, T.: Uncertainty principle and quantum Fisher information, II. J. Math. Phys. 48, 072109 (2007)
-
(2007)
J. Math. Phys.
, vol.48
, pp. 072109
-
-
Gibilisco, P.1
Imparato, D.2
Isola, T.3
-
10
-
-
37549015661
-
A volume inequality for quantum Fisher information and the uncertainty principle
-
3
-
Gibilisco, P., Imparato, D., Isola, T.: A volume inequality for quantum Fisher information and the uncertainty principle. J. Stat. Phys. 130(3), 545-559 (2008)
-
(2008)
J. Stat. Phys.
, vol.130
, pp. 545-559
-
-
Gibilisco, P.1
Imparato, D.2
Isola, T.3
-
11
-
-
38849083940
-
A Robertson-type uncertainty principle and quantum Fisher information
-
Gibilisco, P., Imparato, D., Isola, T.: A Robertson-type uncertainty principle and quantum Fisher information. Linear Algebra Appl. 428, 1706-1724 (2008)
-
(2008)
Linear Algebra Appl.
, vol.428
, pp. 1706-1724
-
-
Gibilisco, P.1
Imparato, D.2
Isola, T.3
-
13
-
-
33749345393
-
Born reciprocity and the granularity of spacetime
-
Jarvis, P.D., Morgan, S.O.: Born reciprocity and the granularity of spacetime. Found. Phys. Lett. 19, 501 (2006)
-
(2006)
Found. Phys. Lett.
, vol.19
, pp. 501
-
-
Jarvis, P.D.1
Morgan, S.O.2
-
15
-
-
21644450302
-
Matrix trace inequality related to uncertainty principle
-
Kosaki, H.: Matrix trace inequality related to uncertainty principle. Int. J. Math. 16, 629-645 (2005)
-
(2005)
Int. J. Math.
, vol.16
, pp. 629-645
-
-
Kosaki, H.1
-
16
-
-
0040487157
-
Quantum Fisher information and uncertainty relations
-
Luo, S.: Quantum Fisher information and uncertainty relations. Lett. Math. Phys. 53, 243-251 (2000)
-
(2000)
Lett. Math. Phys.
, vol.53
, pp. 243-251
-
-
Luo, S.1
-
17
-
-
0346330991
-
Wigner-Yanase skew information and uncertainty relations
-
Luo, S.: Wigner-Yanase skew information and uncertainty relations. Phys. Rev. Lett. 91, 180403 (2003)
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 180403
-
-
Luo, S.1
-
19
-
-
3543025170
-
An informational characterization of Schrödinger's uncertainty relations
-
Luo, S., Zhang, Z.: An informational characterization of Schrödinger's uncertainty relations. J. Stat. Phys. 114, 1557-1576 (2004)
-
(2004)
J. Stat. Phys.
, vol.114
, pp. 1557-1576
-
-
Luo, S.1
Zhang, Z.2
-
20
-
-
29144485403
-
Correction to "on skew information"
-
Luo, S., Zhang, Q.: Correction to "On skew information". IEEE Trans. Inf. Theory 51, 4432 (2005)
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, pp. 4432
-
-
Luo, S.1
Zhang, Q.2
-
21
-
-
0030501619
-
Monotone Metrics on Matrix Spaces
-
Petz, D.: Monotone Metrics on Matrix Spaces. Linear Algebra Appl. 244, 81-96 (1996)
-
(1996)
Linear Algebra Appl.
, vol.244
, pp. 81-96
-
-
Petz, D.1
-
22
-
-
0009130255
-
On the Riemannian metric of α-entropies of density matrices
-
Petz, D., Hasegawa, H.: On the Riemannian metric of α-entropies of density matrices. Lett. Math. Phys. 38, 221-225 (1996)
-
(1996)
Lett. Math. Phys.
, vol.38
, pp. 221-225
-
-
Petz, D.1
Hasegawa, H.2
-
23
-
-
0000234949
-
An indeterminacy relation for several observables and its classical interpretation
-
Robertson, H.P.: An indeterminacy relation for several observables and its classical interpretation. Phys. Rev. 46, 794-801 (1934)
-
(1934)
Phys. Rev.
, vol.46
, pp. 794-801
-
-
Robertson, H.P.1
-
24
-
-
0003882537
-
-
Encyclopaedia of Mathematical Sciences Springer Berlin
-
Takesaki, M.: Theory of Operator Algebras, vol. I. Encyclopaedia of Mathematical Sciences, vol. 124. Springer, Berlin (2002)
-
(2002)
Theory of Operator Algebras
, vol.1
-
-
Takesaki, M.1
-
25
-
-
0003882537
-
-
Encyclopaedia of Mathematical Sciences Springer Berlin
-
Takesaki, M.: Theory of Operator Algebras, vol. II. Encyclopaedia of Mathematical Sciences, vol. 125. Springer, Berlin (2002)
-
(2002)
Theory of Operator Algebras
, vol.2
-
-
Takesaki, M.1
-
26
-
-
0003882537
-
-
Encyclopaedia of Mathematical Sciences Springer Berlin
-
Takesaki, M.: Theory of Operator Algebras, vol. III. Encyclopaedia of Mathematical Sciences, vol. 127. Springer, Berlin (2003)
-
(2003)
Theory of Operator Algebras
, vol.3
-
-
Takesaki, M.1
-
27
-
-
21344494568
-
Generalized intelligent states and squeezing
-
Trifonov, D.A.: Generalized intelligent states and squeezing. J. Math. Phys. 35, 2297-2308 (1994)
-
(1994)
J. Math. Phys.
, vol.35
, pp. 2297-2308
-
-
Trifonov, D.A.1
-
28
-
-
0034682685
-
State extended uncertainty relations
-
Trifonov, D.A.: State extended uncertainty relations. J. Phys. A Math. Gen. 33, 299-304 (2000)
-
(2000)
J. Phys. A Math. Gen.
, vol.33
, pp. 299-304
-
-
Trifonov, D.A.1
-
29
-
-
0041805360
-
Generalizations of Heisenberg uncertainty relation
-
Trifonov, D.A.: Generalizations of Heisenberg uncertainty relation. Eur. Phys. J. B 29, 349-353 (2002)
-
(2002)
Eur. Phys. J. B
, vol.29
, pp. 349-353
-
-
Trifonov, D.A.1
-
30
-
-
29144444600
-
A generalized skew information and uncertainty relation
-
Yanagi, K., Furuichi, S., Kuriyama, K.: A generalized skew information and uncertainty relation. IEEE Trans. Inf. Theory 51, 4401-4404 (2005)
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, pp. 4401-4404
-
-
Yanagi, K.1
Furuichi, S.2
Kuriyama, K.3
|