Uncertainty Inequality for the Entanglement of Both Two-rebits and Two-qubits States

2019 ◽  
Vol 58 (10) ◽  
pp. 3234-3238
Author(s):  
M. Ávila
Keyword(s):  
Uncertainty Inequality

scholarly journals An uncertainty inequality involving $L^1$ norms

1999 ◽  
Vol 127 (12) ◽  
pp. 3565-3572 ◽  
Author(s):  
Enrico Laeng ◽  
Carlo Morpurgo
Keyword(s):  
Uncertainty Inequality

scholarly journals On the uncertainty inequality as applied to discrete signals

2006 ◽  
Vol 2006 ◽  
pp. 1-22 ◽  
Author(s):  
Y. V. Venkatesh ◽  
S. Kumar Raja ◽  
G. Vidyasagar
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Sampling Theorem ◽  
Discrete Signals ◽  
Bandlimited Signal ◽  
Time Signals ◽  
Shannon Sampling Theorem ◽  
Heisenberg Uncertainty ◽  
Comparison Of The Results ◽  
Uncertainty Inequality

Given a continuous-time bandlimited signal, the Shannon sampling theorem provides an interpolation scheme forexactly reconstructingit from its discrete samples. We analyze the relationship between concentration (orcompactness) in thetemporal/spectral domainsof the (i) continuous-time and (ii) discrete-time signals. The former is governed by the Heisenberg uncertainty inequality which prescribes a lower bound on the product ofeffectivetemporal and spectral spreads of the signal. On the other hand, the discrete-time counterpart seems to exhibit some strange properties, and this provides motivation for the present paper. We consider the following problem:for a bandlimited signal, can the uncertainty inequality be expressed in terms of the samples, using thestandard definitions of the temporal and spectral spreads of the signal?In contrast with the results of the literature, we present a new approach to solve this problem. We also present a comparison of the results obtained using the proposed definitions with those available in the literature.

Human resources management in context of corporate social responsibility

2016 ◽  
Vol 6 (2) ◽  
pp. 138-146
Author(s):  
Viera Šukalová ◽  
Pavel Ceniga
Keyword(s):  
Corporate Social Responsibility ◽  
Social Responsibility ◽  
Human Resources ◽  
Human Resources Management ◽  
Social Consequences ◽  
Economic Activities ◽  
Resources Management ◽  
Corporate Social ◽  
Uncertainty Inequality

The globalization of economic activities in the last decade brings changes in the world of work; there is uncertainty, inequality, new risks. The new requirements apply to the management of human resources and the sustainability development. To make the company successful in the long term, it must meet the new expectations of their surroundings, which necessarily include the responsible behaviour towards the society in which it operates. Man limits reliability of the features of the system. As a result of the failure to adapt labour conditions humans began to appear health, economic and social consequences. Through human resources and people management can be designed to target the working system and increasing the efficiency of human labour. The paper focuses on the sustainable management of human resources in the context of the requirements of social responsibility, identifying current problems in this area in practice and proposes solutions.   Keywords: Human resources; Management; Corporate social responsibility  

scholarly journals HEISENBERG–PAULI–WEYL UNCERTAINTY INEQUALITY FOR THE DUNKL TRANSFORM ON ℝd

2012 ◽  
Vol 87 (2) ◽  
pp. 316-325 ◽  
Author(s):  
FETHI SOLTANI
Keyword(s):  
Dunkl Transform ◽  
Local Uncertainty ◽  
Global Uncertainty ◽  
Uncertainty Inequality

AbstractIn this paper, we give analogues of the local uncertainty inequality for the Dunkl transform on ℝd, and indicate how the local uncertainty inequality implies a global uncertainty inequality.

scholarly journals On bandlimited signals with minimal product of effective spatial and spectral widths

2005 ◽  
Vol 2005 (10) ◽  
pp. 1589-1599 ◽  
Author(s):  
Y. V. Venkatesh ◽  
S. Kumar Raja ◽  
G. Vidya Sagar
Keyword(s):  
Gaussian Function ◽  
Finite Energy ◽  
Convolution Product ◽  
Time Frequency ◽  
Bandlimited Signals ◽  
Frequency Representation ◽  
Bandlimited Signal ◽  
Optimal Value ◽  
Gaussian Signal ◽  
Uncertainty Inequality

It is known that signals (which could be functions ofspaceortime) belonging to𝕃2-space cannot be localized simultaneously in space/time and frequency domains. Alternatively, signals have a positive lower bound on theproductof theireffective spatial andeffective spectral widths, for simplicity, hereafter called theeffective space-bandwidthproduct(ESBP). This is the classical uncertainty inequality (UI), attributed to many, but, from a signal processing perspective, to Gabor who, in his seminal paper, established the uncertainty relation and proposed a joint time-frequency representation in which the basis functions have minimal ESBP. It is found that the Gaussian function is the only signal that has thelowestESBP. Since the Gaussian function is not bandlimited, no bandlimited signal can have the lowest ESBP. We deal with the problem of determining finite-energy, bandlimited signals which have the lowest ESBP. The main result is as follows. By choosing the convolution product of a Gaussian signal (withσas the variance parameter) and a bandlimited filter with a continuous spectrum, we demonstrate that there exists a finite-energy, bandlimited signal whose ESBP can be made to be arbitrarily close (dependent on the choice ofσ) to the optimal value specified by the UI.

scholarly journals Extensions of the Heisenberg-Weyl inequality

1986 ◽  
Vol 9 (1) ◽  
pp. 185-192 ◽  
Author(s):  
H. P. Heinig ◽  
M. Smith
Keyword(s):  
Entropy Inequality ◽  
Optimal Form ◽  
One Dimensional ◽  
Higher Dimensional ◽  
Weyl Inequality ◽  
Uncertainty Inequality ◽  
Weighted Entropy ◽  
Inequality Theorem

In this paper a number of generalizations of the classical Heisenberg-Weyl uncertainty inequality are given. We prove then-dimensional Hirschman entropy inequality (Theorem 2.1) from the optimal form of the Hausdorff-Young theorem and deduce a higher dimensional uncertainty inequality (Theorem 2.2). From a general weighted form of the Hausdorff-Young theorem, a one-dimensional weighted entropy inequality is proved and some weighted forms of the Heisenberg-Weyl inequalities are given.

Heisenberg–Pauli–Weyl inequality for connected nilpotent Lie groups

2018 ◽  
Vol 29 (12) ◽  
pp. 1850086 ◽  
Author(s):  
Kais Smaoui
Keyword(s):  
Representation Theory ◽  
Lie Groups ◽  
Plancherel Formula ◽  
Nilpotent Lie Groups ◽  
Weyl Inequality ◽  
Uncertainty Inequality

The purpose of this paper is to formulate and prove an analogue of the classical Heisenberg–Pauli–Weyl uncertainty inequality for connected nilpotent Lie groups with noncompact center. Representation theory and a localized Plancherel formula play an important role in the proof.

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