Wootters, W. K. Random quantum states. Found. Phys. 20 (1990), 1365-1378. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Quantum Mechanics as Quantum Information (and only a little more) - Fuchs (Correct)
....on the set of measurements. Regardless, there is a fairly canonical answer. There is a unique measure d## on the space of one dimensional projectors that is invariant with respect to all unitary operations. That in turn induces a canonical measure d#P on the space of von Neumann measurements [83]. Using this measure leads to the following quantity H(#) d#P D (tr##) log (tr##) d## , 79) which is intimately connected to the so called quantum subentropy of Ref. 84] This mean entropy can be evaluated explicitly in terms of the eigenvalues of # and takes on the expression S(#) ....
W. K. Wootters, "Random Quantum States," Found. Phys. 20, 1365--1378 (1990); K. R. W. Jones, "Riemann-Liouville Fractional Integration and Reduced Distributions on Hyperspheres," J. Phys. A 24, 1237--1244 (1991).
Quantum Foundations in the Light of Quantum Information - Fuchs (2000) (Correct)
....Regardless, there is a fairly canonical answer. There is a unique measure d Omega Pi on the space of one dimensional projectors that is invariant with respect to all unitary operations. That in turn induces a canonical measure d Omega P on the space of von Neumann measurements P [46]. Using this measure leads to the following quantity S(ae) Z H( Pi) d Omega P = Gammad Z (trae Pi) log (trae Pi) d Omega Pi ; 44) which is intimately connected to the so called quantum subentropy of Ref. 47] This mean entropy can be evaluated explicitly in terms of the ....
W. K. Wootters, "Random Quantum States," Found. Phys. 20, 1365--1378 (
Quantum Information Theory - Barnum, III (1998) (Correct)
....X b g b log g b Z d Omega jhbj ij 2 Gamma X b g b Z d Omega jhbj ij 2 log jhbj ij 2 : 4. 46) The first integral is the same one we encountered in H(B) and its value is 1=d: The second integral is more complicated, but can be done using the same formula as the first (or see [40]) its value is Gamma 1 d d Gamma1 X k=1 1 1 k : 4.47) 96 Hence H(Bj Psi) 1 d X b g b log g b d Gamma1 X k=1 1 1 k : 4.48) Combining equations (4.48) and (4.42) we obtain H(B : Psi) log d Gamma d Gamma1 X k=1 1 1 k : 4.49) This depends only on d, and ....
W. K. Wootters, "Random quantum states," Foundations of Physics, vol. 20(11), pp. 1365--1378, 1990. 210
Information-Disturbance Tradeoff in Quantum Measurement on the.. - Barnum (2000) (Correct)
.... X b g b log g b Z d Omega jhbj ij 2 Gamma X b g b Z d Omega jhbj ij 2 log jhbj ij 2 : 44) The first integral is the same one we encountered in H(B) and its value is 1=d: The second integral is more complicated, but can be done using the same formula as the first (or see [20]) its value is Gamma 1 d d Gamma1 X k=1 1 1 k : 45) Hence H(Bj Psi) 1 d X b g b log g b d Gamma1 X k=1 1 1 k : 46) Combining equations (46) and (40) we obtain 18 H(B : Psi) log d Gamma d Gamma1 X k=1 1 1 k : 47) This depends only on d, and not on the weights ....
W. K. Wootters, "Random quantum states," Foundations of Physics, vol. 20(11), pp. 1365--1378, 1990.
Measures of Dynamical Complexity - Andrei Soklakov Rhul (2001) (Correct)
No context found.
Wootters, W. K. Random quantum states. Found. Phys. 20 (1990), 1365-1378.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC