The sum of the Holevo quantity (that bounds the capacity of quantum channels to transmit classical information about an observable) and the quantum discord (a measure of the quantumness of correlations of that observable) yields an observable-independent total given by the quantum mutual information. This split naturally delineates information about...
Topological defects, such as monopoles, vortex lines or domain walls, mark locations where disparate choices of a broken-symmetry vacuum elsewhere in the system lead to irreconcilable differences(1,2). They are energetically costly (the energy density in their core reaches that of the prior symmetric vacuum) but topologically stable (the whole manifold...
Motivated by the advances of quantum Darwinism and recognizing the role played by redundancy in identifying the small subset of quantum states with resilience characteristic of objective classical reality, we explore the implications of redundant records for consistent histories. The consistent histories formalism is a tool for describing sequences of...
Amplification was regarded, since the early days of quantum theory, as a mysterious ingredient that
endows quantum microstates with macroscopic consequences, key to the “collapse of the wave packet,”
and a way to avoid embarrassing problems exemplified by Schrödinger’s cat. Such a bridge between the
quantum microworld and the classical...
Quantum Darwinism recognizes the role of the environment as a communication channel: Decoherence can selectively amplify information about the pointer states of a system of interest (preventing access to complementary information about their superpositions) and can make records of this information accessible to many observers. This redundancy explains the emergence...
A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine the state of a given subsystem. The objectivity of classical reality—the fact that...
Full Text:
Darwinism
C Jess Riedel1,2,5, WojciechH Zurek1,3 and Michael Zwolak1,4
1 Theoretical Division/CNLS, LANL
A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine the state of a given subsystem. The objectivity of classical reality—the fact that...
Full Text:
Darwinism
C Jess Riedel1,2,5, WojciechH Zurek1,3 and Michael Zwolak1,4
1 Theoretical Division/CNLS, LANL
A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine the state of a given subsystem. The objectivity of classical reality—the fact that...
Full Text:
Jess Riedel1,2,5, WojciechH Zurek1,3 and Michael Zwolak1,4
1 Theoretical Division, LANL, Los Alamos
A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine the state of a given subsystem. The objectivity of classical reality—the fact that...
Full Text:
Jess Riedel1,2,5, WojciechH Zurek1,3 and Michael Zwolak1,4
1 Theoretical Division, LANL, Los Alamos
A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine the state of a given subsystem. The objectivity of classical reality—the fact that...
A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine the state of a given subsystem. The objectivity of classical reality—the fact that...
A general discrete-time, adaptive, multidimensional framework is introduced
for estimating the motion of one or several object features from their successive
non-linear projections on an image plane. The motion model consists of
a set of linear difference equations with parameters estimated recursively from
a non-linear observation equation. The model dimensionality...
Most of the existing research on mathematical morphology is
restricted to the deterministic case. This thesis addresses the void
in the results on the stochastic properties of morphological filters.
The primary results include analysis of the stochastic
properties of morphological operations, such as dilation, erosion,
closing and opening. Two unbiased...
"Expert systems" is an area in the field of
artificial intelligence which attempts to encode an
"expert's" heuristic knowledge and reasoning ability into
a computer program. The purpose of this study is to
investigate the applicability of using an "expert system"
in a closed-loop automatic control system.
An "expert system"...
An application of the theory of conditionally Gaussian random
processes to filtering and stochastic control problems is presented
here. The results due to Liptser and Shiryayev are proved to hold
in the multidimensional case under somewhat relaxed conditions,
when compared to the original ones. Such a generalization is required
from...
Hybrid-Meshnet is a communication subnet architecture for local area networks (LANs) designed to achieve a high degree of network performance and flexibility. These objectives are achieved by utilizing a dual channel structure. A token ring is used for short or prioritized data transmissions. A complimentary mesh network with arbitrary data...
The stability analysis for a heated tube system is an
important safety feature of a nuclear power plant.
Although the system theory is well established for linear
systems described by ordinary differential equations, there
is still a shortage of theory dealing with a distributed
system, which is described by partial...
An observability problem for both deterministic and stochastic
systems is studied here.
Deterministic observability is a determination of whether every
state of the system is connected to the observation mechanism and how
it is connected, if connected. On the other hand, stochastic
observability discusses the "tightness" of the connection in...
Background: The uneven distribution of recombination across the length of chromosomes results in inaccurate estimates of genetic to physical distances. In wheat (Triticum aestivum L.) chromosome 3B, it has been estimated that 90% of the cross over events occur in distal sub-telomeric regions representing 40% of the chromosome. Radiation hybrid...