1,822 research outputs found
Chains of Quasi-Classical Informations for Bipartite Correlations and the Role of Twin Observables
Having the quantum correlations in a general bipartite state in mind, the
information accessible by simultaneous measurement on both subsystems is shown
never to exceed the information accessible by measurement on one subsystem,
which, in turn is proved not to exceed the von Neumann mutual information. A
particular pair of (opposite- subsystem) observables are shown to be
responsible both for the amount of quasi-classical correlations and for that of
the purely quantum entanglement in the pure-state case: the former via
simultaneous subsystem measurements, and the latter through the entropy of
coherence or of incompatibility, which is defined for the general case. The
observables at issue are so-called twin observables. A general definition of
the latter is given in terms of their detailed properties.Comment: 7 pages, Latex2e, selected for the December 2002 issue of the Virtual
Journal of Quantum Informatio
The role of coherence entropy of physical twin observables in entanglement
The concept of physical twin observables (PTO) for bipartite quantum
states,introduced and proved relevant for quantum information theory in recent
work, is substantially simplified. The relation of observable and state is
studied in detail from the point of view of coherence entropy. Properties of
this quantity are further explored. It is shown that, besides for pure states,
quantum discord (measure of entanglement) can be expressed through the
coherence entropy of a PTO complete in relation to the state.Comment: 19 pages, Latex+Revtex
Asymptotics of Quantum Relative Entropy From Representation Theoretical Viewpoint
In this paper it was proved that the quantum relative entropy can be asymptotically attained by Kullback Leibler divergences of
probabilities given by a certain sequence of POVMs. The sequence of POVMs
depends on , but is independent of the choice of .Comment: LaTeX2e. 8 pages. The title was changed from "Asymptotic Attainment
for Quantum Relative Entropy
Quantum Control of Two-Qubit Entanglement Dissipation
We investigate quantum control of the dissipation of entanglement under
environmental decoherence. We show by means of a simple two-qubit model that
standard control methods - coherent or open-loop control - will not in general
prevent entanglement loss. However, we propose a control method utilising a
Wiseman-Milburn feedback/measurement control scheme which will effectively
negate environmental entanglement dissipation.Comment: 11 pages,4 figures, minor correctio
Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
Given an quantum dynamical semigroup expressed as an exponential
superoperator acting on a space of N-dimensional density operators, eigenvalue
methods are presented by which canonical Kraus and Lindblad operator sum
representations can be computed. These methods provide a mathematical basis on
which to develop novel algorithms for quantum process tomography, the
statistical estimation of superoperators and their generators, from a wide
variety of experimental data. Theoretical arguments and numerical simulations
are presented which imply that these algorithms will be quite robust in the
presence of random errors in the data.Comment: RevTeX4, 31 pages, no figures; v4 adds new introduction and a
numerical example illustrating the application of these results to Quantum
Process Tomograph
On the decay law for unstable open systems
We use (nonconservative) dynamical semigroups to investigate the decay law of
a quantum unstable system weakly coupled with a large environment. We find that
the deviations from the classical exponential law are small and can be safely
ignored in any actual experiment.Comment: 12 pages, plain-TeX, to appear in Phys. Lett.
OB Stars in the Solar Neighborhood I: Analysis of their Spatial Distribution
We present a newly-developed, three-dimensional spatial classification
method, designed to analyze the spatial distribution of early type stars within
the 1 kpc sphere around the Sun. We propose a distribution model formed by two
intersecting disks -the Gould Belt (GB) and the Local Galactic Disk (LGD)-
defined by their fundamental geometric parameters. Then, using a sample of
about 550 stars of spectral types earlier than B6 and luminosity classes
between III and V, with precise photometric distances of less than 1 kpc, we
estimate for some spectral groups the parameters of our model, as well as
single membership probabilities of GB and LGD stars, thus drawing a picture of
the spatial distribution of young stars in the vicinity of the Sun.Comment: 28 pages including 9 Postscript figures, one of them in color.
Accepted for publication in The Astronomical Journal, 30 January 200
Completely positive maps with memory
The prevailing description for dissipative quantum dynamics is given by the
Lindblad form of a Markovian master equation, used under the assumption that
memory effects are negligible. However, in certain physical situations, the
master equation is essentially of a non-Markovian nature. This paper examines
master equations that possess a memory kernel, leading to a replacement of
white noise by colored noise. The conditions under which this leads to a
completely positive, trace-preserving map are discussed for an exponential
memory kernel. A physical model that possesses such an exponential memory
kernel is presented. This model contains a classical, fluctuating environment
based on random telegraph signal stochastic variables.Comment: 4 page
Isotropic phase squeezing and the arrow of time
We prove that isotropic squeezing of the phase is equivalent to reversing the
arrow of time.Comment: 8 pages. 2 eps figures. elsart styl
A quantum measure of coherence and incompatibility
The well-known two-slit interference is understood as a special relation
between observable (localization at the slits) and state (being on both slits).
Relation between an observable and a quantum state is investigated in the
general case. It is assumed that the amount of ceherence equals that of
incompatibility between observable and state. On ground of this, an argument is
peresented that leads to a natural quantum measure of coherence, called
"coherence or incompatibility information". Its properties are studied in
detail making use of 'the mixing property of relative entropy' derived in this
article. A precise relation between the measure of coherence of an observable
and that of its coarsening is obtained and discussed from the intutitive point
of view. Convexity of the measure is proved, and thus the fact that it is an
information entity is established. A few more detailed properties of coherence
information are derived with a view to investigate final-state entanglement in
general repeatable measurement, and, more importantly, general bipartite
entanglement in follow ups of this study.Comment: 19 GS pages; supercedes quant-ph/030921
- …