scholarly journals STATIONARY STATE ENTANGLEMENT AND TOTAL CORRELATION OF TWO QUBITS OR QUTRITS

2005 ◽  
Vol 19 (30) ◽  
pp. 1803-1811
Author(s):  
SHANG-BIN LI ◽  
JING-BO XU
Keyword(s):  
Mutual Information ◽  
Stationary State ◽  
Sufficient Condition ◽  
Stationary States ◽  
Driving Field ◽  
Total Correlation ◽  
Action Time ◽  
Damped Oscillation ◽  
External Driving

We investigate the mutual information and entanglement of stationary states of two locally driven qubits under the influence of collective dephasing. It is shown that both the mutual information and the entanglement of two qubits in the stationary state exhibit damped oscillation with the scaled action time γT of the local external driving field. It means that we can control both the entanglement and total correlation of the stationary state of two qubits by adjusting the action time of the driving field. We also consider the influence of collective dephasing on the entanglement of two qutrits and obtain the sufficient condition that the stationary state is entangled.

Absorption and fluorescence by thin molecular crystals, I. Theory

1971 ◽  
Vol 325 (1560) ◽  
pp. 1-21 ◽  
Keyword(s):  
Crystal Size ◽  
Molecular Crystals ◽  
Stationary States ◽  
Driving Field ◽  
Photon States ◽  
External Driving

A theory of exciton-photon states of molecular crystals is given to include the effect of finite crystal size. The internal and external retarded fields are calculated by summation of contributions by individual molecules and are shown compatible with the Ewald-Oseen theorem. Absorption processes (involving crystal states in an external driving field) and fluorescence (quasi-stationary states) are separately treated, and compared.

Coupled electric fields in photorefractive driven liquid crystal hybrid cells – theory and numerical simulation

2016 ◽  
Vol 24 (4) ◽  
Author(s):  
P. Moszczyński ◽  
A. Walczak ◽  
P. Marciniak
Keyword(s):  
Numerical Simulation ◽  
Laser Beam ◽  
Electric Fields ◽  
Cell Response ◽  
Liquid Crystalline ◽  
Driving Field ◽  
Self Organized ◽  
Photosensitive Polymer ◽  
Photosensitive Layer ◽  
External Driving

AbstractIn cyclic articles previously published we described and analysed self-organized light fibres inside a liquid crystalline (LC) cell contained photosensitive polymer (PP) layer. Such asymmetric LC cell we call a hybrid LC cell. Light fibre arises along a laser beam path directed in plane of an LC cell. It means that a laser beam is parallel to photosensitive layer. We observed the asymmetric LC cell response on an external driving field polarization. Observation has been done for an AC field first. It is the reason we decided to carry out a detailed research for a DC driving field to obtain an LC cell response step by step. The properly prepared LC cell has been built with an isolating layer and garbage ions deletion. We proved by means of a physical model, as well as a numerical simulation that LC asymmetric response strongly depends on junction barriers between PP and LC layers. New parametric model for a junction barrier on PP/LC boundary has been proposed. Such model is very useful because of lack of proper conductivity and charge carriers of band structure data on LC material.

Collective radiation of multi-atom in cavity under the external driving field

2021 ◽  
pp. 127772
Author(s):  
Na Li ◽  
Hanwen Jiang ◽  
Xiuwen Xia ◽  
Chengjie Zhu ◽  
Shuangyuan Xie ◽  
...  
Keyword(s):  
Driving Field ◽  
External Driving

scholarly journals Unsupervised Learning via Total Correlation Explanation

2017 ◽  
Author(s):  
Greg Ver Steeg
Keyword(s):  
Mutual Information ◽  
Unsupervised Learning ◽  
Supervised Learning ◽  
Human Behavior ◽  
Learning Problems ◽  
Information Theoretic ◽  
Sensory Environment ◽  
Total Correlation ◽  
Environment Dependence ◽  
Multivariate Mutual Information

Learning by children and animals occurs effortlessly and largely without obvious supervision. Successes in automating supervised learning have not translated to the more ambiguous realm of unsupervised learning where goals and labels are not provided. Barlow (1961) suggested that the signal that brains leverage for unsupervised learning is dependence, or redundancy, in the sensory environment. Dependence can be characterized using the information-theoretic multivariate mutual information measure called total correlation. The principle of Total Cor-relation Ex-planation (CorEx) is to learn representations of data that "explain" as much dependence in the data as possible. We review some manifestations of this principle along with successes in unsupervised learning problems across diverse domains including human behavior, biology, and language.

John Stuart Mill on China’s Stationary State

2021 ◽  
pp. 833-856
Author(s):  
Yue Xiao
Keyword(s):  
Stationary State ◽  
Capital Accumulation ◽  
Negative Impact ◽  
Mutual Effect ◽  
John Stuart Mill ◽  
East India Company ◽  
Stationary States ◽  
Individual Liberty ◽  
The West ◽  
Economic Stagnation

Current literature on John Stuart Mill’s writings about Asia have focused mainly on his relationship with India because of Mill’s thirty-five year career in the East India Company. Scholars in both China and the West have not paid attention to Mill’s views on China. This paper delves into Mill’s notion of China’s stationary state from two perspectives: (1) a stationary state of capital accumulation and (2) a stationary state of human improvement. In Principles, Mill explained his conception of stationary state. He linked China’s economic stagnation to the low desire for capital accumulation. In On Liberty and Considerations, Mill explored the reasons for China’s stagnancy in human improvement. He discussed the negative impact of the “despotism of custom” on individual liberty and the defects of a bureaucratic government in nineteenth-century China. Mill thought that a stationary state of capital accumulation does not necessarily imply a stationary state of human improvement. However, he seemed to argue that, in China, these two types of stationary states have a mutual effect upon each other.

SHANNON ENTROPY OF THE WIGNER FUNCTION AND POSITION-MOMENTUM CORRELATION IN MODEL SYSTEMS

2010 ◽  
Vol 08 (07) ◽  
pp. 1089-1100 ◽  
Author(s):  
HUMBERTO G. LAGUNA ◽  
ROBIN P. SAGAR
Keyword(s):  
Mutual Information ◽  
Quantum Number ◽  
Wigner Function ◽  
Model Systems ◽  
Space Distribution ◽  
Stationary States ◽  
Phase Space Distribution ◽  
Quantum Covariance ◽  
Momentum Correlation ◽  
Zero Values

Shannon entropies of the Wigner function are calculated for ground and excited stationary states of the Particle-In-A-Box and Harmonic Oscillator model systems and examined as a measure of the localization of the phase-space distribution. We show that their behavior is consistent with that of the sum of the position and momentum space entropies as a function of quantum number. Position-momentum correlation is then analyzed in these systems by defining mutual information between position and momentum variables. This mutual information yields non-zero values, in contrast to the quantum covariance, and increases with quantum number.

Three-terminal communication channels

1971 ◽  
Vol 3 (1) ◽  
pp. 120-154 ◽  
Author(s):  
Edward C. Van Der Meulen
Keyword(s):  
Mutual Information ◽  
Lower Bounds ◽  
Communication Channel ◽  
Communication Channels ◽  
Upper And Lower Bounds ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Symmetric Structure ◽  
Necessary And Sufficient ◽  
Positive Capacity

The problem of transmitting information in a specified direction over a communication channel with three terminals is considered. Examples are given of the various ways of sending information. Basic inequalities for average mutual information rates are obtained. A coding theorem and weak converse are proved and a necessary and sufficient condition for a positive capacity is derived. Upper and lower bounds on the capacity are obtained, which coincide for channels with symmetric structure.

STUDY OF THE CROSSOVER FROM NON-EQUILIBRIUM STATIONARY STATES TO QUASI-EQUILIBRIUM STATES IN A DRIVEN DIFFUSIVE SYSTEM UNDER THE INFLUENCE OF AN OSCILLATORY FIELD

2002 ◽  
Vol 16 (27) ◽  
pp. 4165-4174 ◽  
Author(s):  
ROBERTO A. MONETTI ◽  
EZEQUIEL V. ALBANO
Keyword(s):  
Steady State ◽  
Lattice Gas ◽  
Thermal Bath ◽  
Quasi Equilibrium ◽  
Stationary States ◽  
Driving Field ◽  
Driven Diffusive System ◽  
Crossover Behavior ◽  
Diffusive System ◽  
Non Equilibrium

A driven diffusive system (DDS) is a lattice-gas in contact with a thermal bath in the presence of an external field. Such DDS constantly gains (losses) energy from (to) the driving field (thermal bath) and therefore, for long enough time, it reaches a non-equilibrium steady-state (NESS) with a generally unknown statistical distribution. It is found that if the constant driving is replaced by an oscillatory field of magnitude E and period τ, the system exhibits a crossover from NESS to a quasi-equilibrium state (QES) driven by τ. The crossover behavior is characterized by a typical crossover time which is proportional to the lattice side and consequently relevant to confined systems.

Characteristic Function and Moments of the Distribution of Storage of Finite Dam with Exponential Input and of the Outflows

1968 ◽  
Vol 17 (1) ◽  
pp. 42-48
Author(s):  
K. C. Majumdar
Keyword(s):  
Characteristic Function ◽  
Exact Solutions ◽  
Stationary State ◽  
Characteristic Functions ◽  
Stationary States ◽  
Mean And Variance ◽  
Stationary Conditions ◽  
Finite Dam ◽  
Explicit Expressions

Though exact solutions of the problems of the distribution of storage and emptiness of dam are available for simple release scheme with exponential, Gamma and Poisson inputs under stationary state conditions and for Holdaway release scheme with exponential input under stationary as well as non­stationary conditions, the exact expressions for the characteristic functions and moments of these distributions have not been given. In this paper, simple and explicit expressions for the characteristic functions and moments of the distribution of storage have been derived under non­stationary as well as stationary conditions with exponential input for simple release rules. The distribution of the outflows below the dam, its characteristic function and moments have also been derived in this paper. The results obtained herein thus provide for the exact values of the useful measures like mean and variance of the storage and outflows below the dam at any point of time as well as for the stationary states. The method developed here can be extended to the more general cases where telease rules obey Holdaway scheme.

Sign in / Sign up

Export Citation Format

Share Document