758 research outputs found
Complementarity and the algebraic structure of 4-level quantum systems
The history of complementary observables and mutual unbiased bases is
reviewed. A characterization is given in terms of conditional entropy of
subalgebras. The concept of complementarity is extended to non-commutative
subalgebras. Complementary decompositions of a 4-level quantum system are
described and a characterization of the Bell basis is obtained.Comment: 19 page
Structure of sufficient quantum coarse-grainings
Let H and K be Hilbert spaces and T be a coarse-graining from B(H) to B(K).
Assume that density matrices D_1 and D_2 acting on H are given. In the paper
the consequences of the existence of a coarse-graining S from B(K) to B(H)
satisfying ST(D_1)=D_1 and ST(D_2)=D_2 are given. (This condition means the
sufficiency of T for D_1 and D_2.) Sufficiency implies a particular
decomposition of the density matrices. This decomposition allows to deduce the
exact condition for equality in the strong subadditivity of the von Neumann
entropy.Comment: 13 pages, LATE
Point Estimation of States of Finite Quantum Systems
The estimation of the density matrix of a -level quantum system is studied
when the parametrization is given by the real and imaginary part of the entries
and they are estimated by independent measurements. It is established that the
properties of the estimation procedure depend very much on the invertibility of
the true state. In particular, in case of a pure state the estimation is less
efficient. Moreover, several estimation schemes are compared for the unknown
state of a qubit when one copy is measured at a time. It is shown that the
average mean quadratic error matrix is the smallest if the applied observables
are complementary. The results are illustrated by computer simulations.Comment: 16 pages, 5 figure
On Mutual Information in Multipartite Quantum States and Equality in Strong Subadditivity of Entropy
The challenge of equality in the strong subadditivity inequality of entropy
is approached via a general additivity of correlation information in terms of
nonoverlapping clusters of subsystems in multipartite states (density
operators). A family of tripartite states satisfying equality is derived.Comment: 8 pages; Latex2e and Revtex
What sexuality? : An exploratory study examining sexual activity and affectionate sexual expression in a Western Australian sample of older adults
Sexuality later in life has been receiving increased research interest, however, a large majority of research investigates a narrow range of sexual behaviours, primarily frequency of sexual intercourse. There is limited information regarding other forms of sexual expression, specifically affectionate sexual expression that are relevant to older adults. The present day study explores what affectionate sexual behaviours constitute affectionate sexual expression and compares sexual intercourse with affectionate expression. The sample consisted of 77 married men (n=35) and women (n=42) aged 60-89 years who came from various senior groups and organisations in the Perth metropolitan area. A survey was developed that investigated what constituted affectionate expression, and interest and changes in affectionate sexual expression and sexual intercourse
Covariance and Fisher information in quantum mechanics
Variance and Fisher information are ingredients of the Cramer-Rao inequality.
We regard Fisher information as a Riemannian metric on a quantum statistical
manifold and choose monotonicity under coarse graining as the fundamental
property of variance and Fisher information. In this approach we show that
there is a kind of dual one-to-one correspondence between the candidates of the
two concepts. We emphasis that Fisher informations are obtained from relative
entropies as contrast functions on the state space and argue that the scalar
curvature might be interpreted as an uncertainty density on a statistical
manifold.Comment: LATE
The Timing of Unemployment Response in Austrian Regional Labour Markets
Series: Discussion Papers of the Institute for Economic Geography and GIScienc
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