scholarly journals Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1583
Author(s):  
Jaehee Shin ◽  
Donghoon Ha ◽  
Younghun Kwon
Keyword(s):  
Prior Probability ◽  
The State ◽  
Mixed States ◽  
Minimum Error ◽  
Prior Probabilities ◽  
Quantum Properties ◽  
State Discrimination ◽  
The Given ◽  
Qubit States ◽  
Selection Of

Recently, Schmid and Spekkens studied the quantum contextuality in terms of state discrimination. By dealing with the minimum error discrimination of two quantum states with identical prior probabilities, they reported that quantum contextual advantage exists. Meanwhile, if one notes a striking observation that the selection of prior probability can affect the quantum properties of the system, it is necessary to verify whether the quantum contextual advantage depends on the prior probabilities of the given states. In this paper, we consider the minimum error discrimination of two states with arbitrary prior probabilities, in which both states are pure or mixed. We show that the quantum contextual advantage in state discrimination may depend on the prior probabilities of the given states. In particular, even though the quantum contextual advantage always exists in the state discrimination of two nonorthogonal pure states with nonzero prior probabilities, the quantum contextual advantage depends on prior probabilities in the state discrimination of two mixed states.

ENTANGLEMENT DISTRIBUTION AND STATE DISCRIMINATION IN TRIPARTITE QUBIT SYSTEMS

2008 ◽  
Vol 06 (02) ◽  
pp. 237-253 ◽  
Author(s):  
J. BATLE ◽  
M. CASAS
Keyword(s):  
Monte Carlo ◽  
Entangled States ◽  
Perfect State ◽  
Mixed States ◽  
W States ◽  
State Discrimination ◽  
Entanglement Measures ◽  
Entanglement Distribution ◽  
Maximally Entangled States ◽  
Qubit States

This work reviews and extends recent results concerning the distribution of entanglement, as well as nonlocality (in terms of inequality violations) in tripartite qubit systems. With recourse to a Monte Carlo generation of pure and mixed states of three-qubits, we explore several features related to the distribution of entanglement (expressed in the form of different measures of multiqubit entanglement based upon bipartitions). Also, special interest is paid to maximally entangled states (such as the GHZ for three-qubits) and W states. This study also sheds some light on the interesting relation existing between some entanglement measures and perfect state discrimination in LOCC measurements relevant to cryptographic protocols. We round off the results by studying the distribution of entanglement between Alice and Bob in a modified teleportation protocol toy model over three-qubit states.

scholarly journals اسلامی فلاحی مملکت میں انتظامی عہدے داروں کی تقرری کا معیار(تحقیقی مطالعہ)

2021 ◽  
Vol 3 (02) ◽  
pp. 181-196
Author(s):  
Shafqat Ur Rahman ◽  
Malik Farrukh Hussain
Keyword(s):  
Welfare State ◽  
Human Life ◽  
Well Being ◽  
The State ◽  
Human Beings ◽  
Eligibility Criteria ◽  
New Ideas ◽  
The Given ◽  
Selection Of ◽  
The Welfare State

A Welfare state refers to the concept of a state in which a state takes responsibility for the protection of all citizens and their well-being. A welfare state recognizes the security of its citizens as a priority and takes solid steps for it. In the olden days, the states were limited to the interests of the rulers; gradually there were born enlightened human beings who introduced new ideas to the state which improved human life. A new concept was introduced in the state system called the welfare state. For a welfare state, as far as the individuals are important to control all the systems in a state, in which the rules and regulations/principles also have far rich importance in any state. So, the selection of proper/eligible individuals for such a regulatory welfare state is necessary. If any state set aside the basic eligibility criteria while appointing any responsible administrative slot then it will cause the destruction of that state gradually as well society at the end. On the other hand, if any welfare state would strictly follow the eligibility criteria for the given administrative slot and appoint the individuals purely on merit and ability, then it will result in constructive and positive change in that welfare state which boost up the society towards prosperity peace and progress for the sake of humanity.In this manuscript, we tried our best to mention and focus on some qualitative levels/points which must be compulsory while appointing any administrative/key post in any Islamic welfare state to make it prosperous and progressive, keeping in view the interpretation purely from Quran and Sunnah.

Multicopy programmable discriminators between two unknown qudit states with group-theoretic approach

2012 ◽  
Vol 12 (11&12) ◽  
pp. 1017-1033
Author(s):  
Tao Zhou ◽  
Jing Xin Cui ◽  
Xiaohua Wu ◽  
Gui Lu Long
Keyword(s):  
Theoretic Approach ◽  
Data Systems ◽  
Mixed States ◽  
Minimum Error ◽  
Unambiguous Discrimination ◽  
State Discrimination ◽  
Jordan Basis ◽  
Orthogonal Measurement ◽  
The Mean ◽  
Programmable Discriminator

The discrimination between two unknown states can be performed by a universal programmable discriminator, where the copies of the two possible states are stored in two program systems respectively and the copies of data, which we want to confirm, are provided in the data system. In the present paper, we propose a group-theretic approach to the multi-copy programmable state discrimination problem. By equivalence of unknown pure states to known mixed states and with the representation theory of $U(n)$ group, we construct the Jordan basis to derive the analytical results for both the optimal unambiguous discrimination and minimum-error discrimination. The POVM operators for unambiguous discrimination and orthogonal measurement operators for minimum-error discrimination are obtained. We find that the optimal failure probability and minimum-error probability for the discrimination between the mean input mixd states are dependent on the dimension of the unknown qudit states. We applied the approach to generalize the results of He and Bergou (2007) from qubit to qudit case, and we further solve the problem of programmable dicriminators with arbitrary copies of unknown states in both program and data systems.

scholarly journals Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Donghoon Ha ◽  
Jeong San Kim
Keyword(s):  
Quantum State ◽  
Quantum States ◽  
Quantum Nonlocality ◽  
Quantum State Discrimination ◽  
Classical Communication ◽  
Minimum Error ◽  
Prior Probabilities ◽  
Separable States ◽  
Unambiguous Discrimination ◽  
State Discrimination

AbstractNonlocality without entanglement(NLWE) is a nonlocal phenomenon that occurs in quantum state discrimination of multipartite separable states. In the discrimination of orthogonal separable states, the term NLWE is used when the quantum states cannot be discriminated perfectly by local operations and classical communication. In this case, the occurrence of NLWE is independent of nonzero prior probabilities of quantum states being prepared. Recently, it has been found that the occurrence of NLWE can depend on nonzero prior probabilities in minimum-error discrimination of nonorthogonal separable states. Here, we show that even in optimal unambiguous discrimination, the occurrence of NLWE can depend on nonzero prior probabilities. We further show that NLWE can occur regardless of nonzero prior probabilities, even if only one state can be locally discriminated without error. Our results provide new insights into classifying sets of multipartite quantum states in terms of quantum state discrimination.

OPTIMAL UNAMBIGUOUS DISCRIMINATION OF TWO FINITE-DIMENSIONAL COHERENT STATES

2009 ◽  
Vol 07 (02) ◽  
pp. 517-528 ◽  
Author(s):  
M. REZAEI ◽  
M. R. REZAPOUR ◽  
M. A. FASIHI
Keyword(s):  
Success Rate ◽  
Coherent States ◽  
Decomposition Method ◽  
Prior Probability ◽  
Exact Analytical Solution ◽  
Prior Probabilities ◽  
Unambiguous Discrimination ◽  
State Discrimination ◽  
Finite Dimensional ◽  
Unambiguous State Discrimination

An exact analytical solution to the optimal unambiguous state discrimination involving two finite-dimensional coherent states that occur with given prior probabilities is presented using the Lewenstein–Sanpera decomposition method. Furthermore, a numerical method is advised for efficient solving of the unambiguous state discrimination of the two finite-dimensional coherent states with the same dimensions. In this manner, it is shown that the maximum success rate for the unambiguous states discrimination of the two finite-dimensional coherent states with the arbitrary prior probability is decreased by increasing the dimensionality of the finite-dimensional coherent states. Also, the success rate for the unambiguous states discrimination of the two coherent states satisfies the upper bound proportional to the fidelity of the states for a given prior probability.

Селекция и семеноводство картофеля в Камчатском крае

2018 ◽  
Author(s):  
N.I. Ryakhovskaya ◽  
T.P. Sherstyukova ◽  
M.L. Gamolina
Keyword(s):  
Russian Federation ◽  
Potato Yield ◽  
The State ◽  
Limiting Factors ◽  
State Register ◽  
Region Selection ◽  
New Varieties ◽  
The Russian Federation ◽  
Selection Of

Рассмотрены агроклиматические условия Камчатского края и лимитирующие факторы, сдерживающие рост урожайности картофеля. Приведены характеристики новых сортов картофеля селекции Камчатского НИИСХ созданных в соответствии с приоритетными для региона направлениями селекции, включенных в Государственный реестр селекционных достижений РФ и охраняемых патентами.Agroclimatic conditions of the Kamchatka Krai and limiting factors that restrain the growth of potato yield are considered. The characteristics of new varieties of potatoes of the selection of the Kamchatsky RIA are created in accordance with the priority for the region selection areas included in the State Register of Selection Achievements of the Russian Federation and protected by patents.

Application of the turbidity ratio method in the spherical particle size determination in the range m ∈ and α ∈

1979 ◽  
Vol 44 (7) ◽  
pp. 2064-2078 ◽  
Author(s):  
Blahoslav Sedláček ◽  
Břetislav Verner ◽  
Miroslav Bárta ◽  
Karel Zimmermann
Keyword(s):  
Refractive Index ◽  
Spherical Particle ◽  
Ratio Method ◽  
Refractive Indices ◽  
Relative Refractive Index ◽  
Particle Size Determination ◽  
The Individual ◽  
The Given ◽  
Turbidity Ratio ◽  
Selection Of

Basic scattering functions were used in a novel calculation of the turbidity ratios for particles having the relative refractive index m = 1.001, 1.005 (0.005) 1.315 and the size α = 0.05 (0.05) 6.00 (0.10) 15.00 (0.50) 70.00 (1.00) 100, where α = πL/λ, L is the diameter of the spherical particle, λ = Λ/μ1 is the wavelength of light in a medium with the refractive index μ1 and Λ is the wavelength of light in vacuo. The data are tabulated for the wavelength λ = 546.1/μw = 409.357 nm, where μw is the refractive index of water. A procedure has been suggested how to extend the applicability of Tables to various refractive indices of the medium and to various turbidity ratios τa/τb obtained with the individual pairs of wavelengths λa and λb. The selection of these pairs is bound to the sequence condition λa = λ0χa and λb = λ0χb, in which b-a = δ = 1, 2, 3; a = -2, -1, 0, 1, 2, ..., b = a + δ = -1, 0, 1, 2, ...; λ0 = λa=0 = 326.675 nm; χ = 546.1 : 435.8 = 1.2531 is the quotient of the given sequence.

scholarly journals Industrial clusters in St. Petersburg as a basis for development of Arctic territories

2018 ◽  
Vol 170 ◽  
pp. 02006
Author(s):  
Elena Khutieva ◽  
Alexander Maizel ◽  
Marina Vlasova
Keyword(s):  
Industrial Clusters ◽  
The State ◽  
State Support ◽  
Strategic Development ◽  
Cluster Development ◽  
Effective Implementation ◽  
Coordination Center ◽  
Cluster Environment ◽  
The Given ◽  
Essential Prerequisite

The exploitation of Arctic resources is becoming now one of the most important directions of Russia’s strategic development. The coordination center for this project is St. Petersburg. The article assesses the potential of this region which forms an essential prerequisite for the effective implementation of the given work from the standpoint of the state and prospects of industrial clusters formed in its territory. The subjects of the cluster environment of St. Petersburg relevant programs of state support are divided into three categories: 2 innovative territorial clusters, 3 territorial clusters, 9 territorial clusters administered by the Center for cluster development. Specific recommendations for them are proposed on the basis of analysis of their strengths and weaknesses, as well as assessment of opportunities and threats to their development.

scholarly journals Selection of cotton lines for high oil content

2017 ◽  
Vol 52 (7) ◽  
pp. 530-538 ◽  
Author(s):  
Luiz Paulo de Carvalho ◽  
Josiane Isabela da Silva Rodrigues ◽  
Francisco José Correia Farias
Keyword(s):  
Oil Content ◽  
Genetic Parameters ◽  
Fiber Quality ◽  
Rio Grande ◽  
Field Trials ◽  
The State ◽  
The Other ◽  
Expected Gain ◽  
High Heritability ◽  
Selection Of

Abstract: The objective of this work was to evaluate the oil content and characters related to fiber quality and yield in cotton lines (Gossypium hirsutum), in order to select genotypes with high oil content and acceptable levels of the other characters. Twenty-two F6 lines and three checks were cultivated in three field trials - two in the municipality of Apodi, in the state of Rio Grande do Norte, and one in the municipality of Barbalha, in the state of Ceará, both in Brazil. The genetic parameters and the genetic gain from selecting 20% of the lines were estimated according to their means in each environment and in the group of environments. Regarding oil content, there is genetic variability, and the selection based on the overall mean is indicated, since this character showed high heritability, with 4.58% expected gain. The lines selected with this criterion have oil contents between 23.52 and 24.51%, which are higher than those of the Brazilian cultivar BRS Aroeira with the highest grain oil content (22.04%).

Observations On the Sexual Behaviour of Some Longicorn Beetles, Subfamily Lepturinae (Coleoptera, Cerambycidae)

Behaviour ◽  
1963 ◽  
Vol 22 (1-2) ◽  
pp. 152-166 ◽  
Author(s):  
Axel Michelsen
Keyword(s):  
Comparative Analysis ◽  
Sexual Behaviour ◽  
The State ◽  
Round Dance ◽  
Selection Of ◽  
Stimulation Of

AbstractA description is given of the sexual behaviour of 16 longicorn beetles of the subfamily Lepturinae. The following points have been investigated:- 1. Stimulation of the female performed by the male either as a "licking" or combined "licking and tapping" of the female elytra or the grasping of an antenna of the female. 2. Movements of the antennae of the male, which seem to be an expression of the "state of excitement" of the male. These movements are in principle thought to be one of the behaviour patterns originally present in the order Coleoptera. 3. A "round dance", one of the methods for the female to throw off the male after copula, is described. 4. A selection of partner according to size is described in the genus Rhagium. 5. A comparative analysis is attempted for some species and systematic conclusions of such comparisons are proposed.

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