-
1
-
-
0000086953
-
Measurement of quantum mechanical operators
-
H. Araki and M. M. Yanase, Measurement of quantum mechanical operators, Phys. Rev. 120:622-626 (1960).
-
(1960)
Phys. Rev.
, vol.120
, pp. 622-626
-
-
Araki, H.1
Yanase, M.M.2
-
2
-
-
0000617016
-
Uncertainty relations for information entropy in wave mechanics
-
I. Bialynicki-Birula and J. Mycielski, Uncertainty relations for information entropy in wave mechanics, Comm. Math. Phys. 44:129-132 (1975).
-
(1975)
Comm. Math. Phys.
, vol.44
, pp. 129-132
-
-
Bialynicki-Birula, I.1
Mycielski, J.2
-
3
-
-
0000273265
-
Superadditivity of Fisher's information and logarithmic Sobolev inequalities
-
E. A. Carlen, Superadditivity of Fisher's information and logarithmic Sobolev inequalities, J. Funct. Anal. 101:194-211 (1991).
-
(1991)
J. Funct. Anal.
, vol.101
, pp. 194-211
-
-
Carlen, E.A.1
-
4
-
-
0000860574
-
Entropy production by block variable summation and central limit theorems
-
E. A. Carlen and A. Soffer, Entropy production by block variable summation and central limit theorems, Comm. Math. Phys. 140:339-371 (1991).
-
(1991)
Comm. Math. Phys.
, vol.140
, pp. 339-371
-
-
Carlen, E.A.1
Soffer, A.2
-
7
-
-
84939431353
-
Theory of statistical estimation
-
R. A. Fisher, Theory of statistical estimation, Proc. Camb. Phil. Soc. 22:700-725 (1925).
-
(1925)
Proc. Camb. Phil. Soc.
, vol.22
, pp. 700-725
-
-
Fisher, R.A.1
-
8
-
-
0039768601
-
The uncertainty principle: A mathematical survey
-
G. B. Folland and A. Sitaram, The uncertainty principle: A mathematical survey, J. Fourier Anal. Appl. 3:207-236 (1997).
-
(1997)
J. Fourier Anal. Appl.
, vol.3
, pp. 207-236
-
-
Folland, G.B.1
Sitaram, A.2
-
10
-
-
0035505261
-
Exact Heisenberg uncertainty relations
-
M. J. W. Hall, Exact Heisenberg uncertainty relations, Phys. Rev. A 64:052103 (2001).
-
(2001)
Phys. Rev. A
, vol.64
, pp. 052103
-
-
Hall, M.J.W.1
-
11
-
-
0037066664
-
Schrödinger equation from an exact uncertainty principle
-
M. J. W. Hall and M. Reginatto, Schrödinger equation from an exact uncertainty principle, J. Phys. A 35:3289-3303 (2002).
-
(2002)
J. Phys. A
, vol.35
, pp. 3289-3303
-
-
Hall, M.J.W.1
Reginatto, M.2
-
12
-
-
0009448302
-
Über den anschaulichen inhalt der quantumtheoretischen kinematik und mechanik
-
W. Heisenberg, Über den anschaulichen Inhalt der quantumtheoretischen Kinematik und Mechanik, Z. Phys. 43:172-198 (1927).
-
(1927)
Z. Phys.
, vol.43
, pp. 172-198
-
-
Heisenberg, W.1
-
15
-
-
0004083934
-
-
Butterworth-Heinemann, Oxford
-
L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd edn. (Butterworth-Heinemann, Oxford, 1977), p. 2.
-
(1977)
Quantum Mechanics, 3rd Edn.
, pp. 2
-
-
Landau, L.D.1
Lifshitz, E.M.2
-
16
-
-
36649022319
-
Convex trace functions and the Wigner-Yanase-Dyson conjecture
-
E. H. Lieb, Convex trace functions and the Wigner-Yanase-Dyson conjecture, Adv. Math. 11:267-288 (1973).
-
(1973)
Adv. Math.
, vol.11
, pp. 267-288
-
-
Lieb, E.H.1
-
17
-
-
0040487157
-
Quantum Fisher information and uncertainty relations
-
S. L. Luo, Quantum Fisher information and uncertainty relations, Lett. Math. Phys. 53:243-251 (2000).
-
(2000)
Lett. Math. Phys.
, vol.53
, pp. 243-251
-
-
Luo, S.L.1
-
18
-
-
0035534232
-
Fisher information matrix of Husimi distribution
-
S. L. Luo, Fisher information matrix of Husimi distribution, J. Stat. Phys. 102:1417-1428 (2001).
-
(2001)
J. Stat. Phys.
, vol.102
, pp. 1417-1428
-
-
Luo, S.L.1
-
19
-
-
0036961426
-
Maximum Shannon entropy, minimum Fisher information, and an elementary game
-
S. L. Luo, Maximum Shannon entropy, minimum Fisher information, and an elementary game, Found. Phys. 32:1757-1772 (2002).
-
(2002)
Found. Phys.
, vol.32
, pp. 1757-1772
-
-
Luo, S.L.1
-
21
-
-
0030501619
-
Monotone metrics on matrix spaces
-
D. Petz, Monotone metrics on matrix spaces, Linear Alg. Appl. 244:81-96 (1996).
-
(1996)
Linear Alg. Appl.
, vol.244
, pp. 81-96
-
-
Petz, D.1
-
22
-
-
0000540215
-
The uncertainty principle
-
H. P. Robertson, The uncertainty principle, Phys. Rev. 34:163-164 (1929).
-
(1929)
Phys. Rev.
, vol.34
, pp. 163-164
-
-
Robertson, H.P.1
-
23
-
-
0038296882
-
About Heisenberg uncertainty relation
-
See also arXiv: quant-ph/9903100 for an English translation
-
E. Schrödinger, About Heisenberg uncertainty relation, Proc. Prussian Acad. Sci., Phy-Math. Section XIX:293-303 (1930). See also arXiv: quant-ph/9903100 for an English translation.
-
(1930)
Proc. Prussian Acad. Sci., Phy-Math. Section
, vol.19
, pp. 293-303
-
-
Schrödinger, E.1
-
24
-
-
12944295719
-
Some inequalities satisfied by the quantities of information of Fisher and Shannon
-
A. J. Stam, Some inequalities satisfied by the quantities of information of Fisher and Shannon, Inf. Control 2:101-112 (1959).
-
(1959)
Inf. Control
, vol.2
, pp. 101-112
-
-
Stam, A.J.1
-
25
-
-
0036389222
-
Schrödinger uncertainty relations and physical features of correlated-coherent states
-
A. D. Sukhanov, Schrödinger uncertainty relations and physical features of correlated-coherent states, Theor. Math. Phys. 132:1277-1294 (2002).
-
(2002)
Theor. Math. Phys.
, vol.132
, pp. 1277-1294
-
-
Sukhanov, A.D.1
-
26
-
-
0005145695
-
Inference in quantum physics
-
J. Summhammer, Inference in quantum physics, Found. Phys. Lett. 1:113-137 (1988).
-
(1988)
Found. Phys. Lett.
, vol.1
, pp. 113-137
-
-
Summhammer, J.1
-
27
-
-
5844266551
-
General concept of entropy
-
A. Wehrl, General concept of entropy, Rev. Modern Phys. 50:221-260 (1978).
-
(1978)
Rev. Modern Phys.
, vol.50
, pp. 221-260
-
-
Wehrl, A.1
-
29
-
-
0003217172
-
Information, physics, quantum: The search for links
-
Z. H. Zurek, ed. (Addison-Wesley, MA)
-
J. A. Wheeler, Information, physics, quantum: the search for links, in Complexity, Entropy, and Physics of Information, Z. H. Zurek, ed. (Addison-Wesley, MA, 1990), pp. 3-28.
-
(1990)
Complexity, Entropy, and Physics of Information
, pp. 3-28
-
-
Wheeler, J.A.1
-
31
-
-
34250932377
-
Die messung quantenmechanischer operatoren
-
E. P. Wigner, Die Messung quantenmechanischer Operatoren, Z. Phys. 133:101-118 (1952).
-
(1952)
Z. Phys.
, vol.133
, pp. 101-118
-
-
Wigner, E.P.1
-
33
-
-
0001534741
-
Optimal measuring apparatus
-
M. M. Yanase, Optimal measuring apparatus, Phys. Rev. 123:666-668 (1961).
-
(1961)
Phys. Rev.
, vol.123
, pp. 666-668
-
-
Yanase, M.M.1
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