scholarly journals Boundary of the set of separable states

2015 ◽  
Vol 471 (2181) ◽  
pp. 20150102 ◽  
Author(s):  
Lin Chen ◽  
Dragomir Ž Ðoković
Keyword(s):  
Dimensional Simplex ◽  
Separable States ◽  
Finite Dimensional ◽  
Entanglement Witnesses ◽  
The Family ◽  
Full State ◽  
The Face ◽  
Separability Problem ◽  
Arbitrary Quantum ◽  
Finite Dimensional Hilbert Space

Motivated by the separability problem in quantum systems 2⊗4, 3⊗3 and 2⊗2⊗2, we study the maximal (proper) faces of the convex body, S 1 , of normalized separable states in an arbitrary quantum system with finite-dimensional Hilbert space H = H 1 ⊗ H 2 ⊗ ⋯ ⊗ H n . To any subspace V ⊆ H , we associate a face F V of S 1 consisting of all states ρ ∈ S 1 whose range is contained in V . We prove that F V is a maximal face if and only if V is a hyperplane. If V =| ψ 〉 ⊥ , where | ψ 〉 is a product vector, we prove that Dim   F V = d 2 − 1 − ∏ ( 2 d i − 1 ) , where d i = Dim   H i and d = ∏ d i . We classify the maximal faces of S 1 in the cases 2⊗2 and 2⊗3. In particular, we show that the minimum and the maximum dimension of maximal faces is 6 and 8 for 2⊗2, and 20 and 24 for 2⊗3. The boundary, ∂ S 1 , of S 1 is the union of all maximal faces. When d >6, it is easy to show that there exist full states on ∂ S 1 , i.e. states ρ ∈ ∂ S 1 such that all partial transposes of ρ (including ρ itself) have rank d . Ha and Kye have recently constructed explicit such states in 2⊗4 and 3⊗3. In the latter case, they have also constructed a remarkable family of faces, depending on a real parameter b >0, b ≠1. Each face in the family is a nine-dimensional simplex, and any interior point of the face is a full state. We construct suitable optimal entanglement witnesses for these faces and analyse the three limiting cases b = 0 , 1 , ∞ .

Is absolute separability determined by the partial transpose?

2015 ◽  
Vol 15 (7&8) ◽  
pp. 694-720 ◽  
Author(s):  
Srinivasan Arunachalam ◽  
Nathaniel Johnston ◽  
Vincent Russo
Keyword(s):  
Quantum States ◽  
Entanglement Witness ◽  
Unitary Matrices ◽  
Positive Partial Transpose ◽  
Entanglement Witnesses ◽  
The Family ◽  
Separability Criteria ◽  
Separability Problem ◽  
Partial Transpose

The absolute separability problem asks for a characterization of the quantum states $\rho \in M_m\otimes M_n$ with the property that $U\rho U^\dagger$ is separable for all unitary matrices $U$. We investigate whether or not it is the case that $\rho$ is absolutely separable if and only if $U\rho U^\dagger$ has positive partial transpose for all unitary matrices $U$. In particular, we develop an easy-to-use method for showing that an entanglement witness or positive map is unable to detect entanglement in any such state, and we apply our method to many well-known separability criteria, including the range criterion, the realignment criterion, the Choi map and its generalizations, and the Breuer--Hall map. We also show that these two properties coincide for the family of isotropic states, and several eigenvalue results for entanglement witnesses are proved along the way that are of independent interest.

Mansfield Park

2008 ◽  
Author(s):  
Jane Austen ◽  
Jane Stabler
Keyword(s):  
The Novel ◽  
Mansfield Park ◽  
Sexual Jealousy ◽  
The Family ◽  
The World ◽  
The Face

‘Me!’ cried Fanny … ‘Indeed you must excuse me. I could not act any thing if you were to give me the world. No, indeed, I cannot act.’ At the age of ten, Fanny Price leaves the poverty of her Portsmouth home to be brought up among the family of her wealthy uncle, Sir Thomas Bertram, in the chilly grandeur of Mansfield Park. There she accepts her lowly status, and gradually falls in love with her cousin Edmund. When the dazzling and sophisticated Henry and Mary Crawford arrive, Fanny watches as her cousins become embroiled in rivalry and sexual jealousy. As the company starts to rehearse a play by way of entertainment, Fanny struggles to retain her independence in the face of the Crawfords’ dangerous attractions; and when Henry turns his attentions to her, the drama really begins… This new edition does full justice to Austen’s complex and subtle story, placing it in its Regency context and elucidating the theatrical background that pervades the novel.

scholarly journals Nuclear subalgebras of UHF C*-algebras

1986 ◽  
Vol 29 (1) ◽  
pp. 97-100 ◽  
Author(s):  
R. J. Archbold ◽  
Alexander Kumjian
Keyword(s):  
Tensor Product ◽  
Inductive Limit ◽  
Inductive Limits ◽  
C Algebra ◽  
C Algebras ◽  
Finite Dimensional ◽  
The Family ◽  
Algebraic Tensor Product

A C*-algebra A is said to be approximately finite dimensional (AF) if it is the inductive limit of a sequence of finite dimensional C*-algebras(see [2], [5]). It is said to be nuclear if, for each C*-algebra B, there is a unique C*-norm on the *-algebraic tensor product A ⊗B [11]. Since finite dimensional C*-algebras are nuclear, and inductive limits of nuclear C*-algebras are nuclear [16];,every AF C*-algebra is nuclear. The family of nuclear C*-algebras is a large and well-behaved class (see [12]). The AF C*-algebras for a particularly tractable sub-class which has been completely classified in terms of the invariant K0 [7], [5].

Palaeonema phyticum gen. n., sp. n. (Nematoda: Palaeonematidae fam. n.), a Devonian nematode associated with early land plants

Nematology ◽  
2008 ◽  
Vol 10 (1) ◽  
pp. 9-14 ◽  
Author(s):  
George Poinar Jr ◽  
Hans Kerp ◽  
Hagen Hass
Keyword(s):  
Early Stage ◽  
Land Plant ◽  
Terrestrial Plants ◽  
Early Devonian ◽  
Plant Parasitism ◽  
New Family ◽  
The Earth ◽  
The Family ◽  
The Face ◽  
Early Land

AbstractNematodes are one of the most abundant groups of invertebrates on the face of the earth. Their extremely poor fossil record hinders our ability to assess just when members of this group invaded land and first became associated with plants. This study reports fossil nematodes from the stomatal chambers of the Early Devonian (396 mya) land plant, Aglaophyton major. These nematodes, which are tentatively assigned to the order Enoplia, are described as Palaeonema phyticum gen. n., sp. n. in the new family Palaeonematidae fam. n. Diagnostic characters of the family are: i) cuticular striations; ii) uniform, cylindrical pharynx with the terminal portion only slightly set off from the remainder; and iii) a two-portioned buccal cavity with the upper portion bearing protuberances. The presence of eggs, juveniles and adults in family clusters within the plant tissues provide the earliest evidence of an association between terrestrial plants and animals and may represent an early stage in the evolution of plant parasitism by nematodes.

scholarly journals Educational and Ethical Views of Attar Neishabouri

2016 ◽  
Vol 8 (1) ◽  
pp. 267
Author(s):  
Reza Yazdani
Keyword(s):  
Well Being ◽  
Health Issues ◽  
Mental Images ◽  
Divine Attributes ◽  
Age And Gender ◽  
Stages Of Growth ◽  
Self Confidence ◽  
The Family ◽  
The Face ◽  
And Gender

<p>Attar believes that some health standards and different hygienic methods should be taught to children. Although teaching the methods of healthcare and well-being is among the necessities of life, child’s understanding and intelligence should not be ignored. There is no doubt that religious give great importance to health issues and even emphasize that they should be taught to children. Dealing with appearance causes that their truth-seeking spirit is misled. Accordingly, Sufism recommends people to abandon appearance and deal with the interior. In the stages of growth, child’s mental images are related to sensory issues. He gradually understands lighting, heating and other things that are exposed to his senses and realizes their differences. Formation of mental images and attention to their differences are related to the growth and complexity of the child’s nerves and experience. Affection and kindness to children is desirable. But parents and educators should know that going to extremes in this case is harmful. Attar believes that loving the children excessively causes that he is brought up as a weak and powerless person and loses his self-confidence. So, he shows weakness in the face of problems. But if he is educated with moderation, he will act accordingly. Too much attention to children makes them timid. Treating the children with justice and fairness is one of the Divine attributes. According to Attar, parents should not discriminate between their children and should deal with them justly in all aspects just as you like to be treated with justice in all situations. In many educational books, it is said that the apparent treatment of parents with children may vary according to their age and gender and this is difference rather than discrimination. Attar states that we should act carefully and accurately. These differences should not make parents not act fairly in loving children, but they should justify the children that if they were in such a situation, they would receive the same treatment. Discrimination and injustice in the family, whether tangible or intangible, cause that children feel contempt and become alienated from their family and education.</p>

scholarly journals Complete Bredon cohomology and its applications to hierarchically defined groups

2016 ◽  
Vol 161 (1) ◽  
pp. 143-156
Author(s):  
BRITA E. A. NUCINKIS ◽  
NANSEN PETROSYAN
Keyword(s):  
Integral Characteristic ◽  
Linear Groups ◽  
Dimensional Model ◽  
Classifying Space ◽  
Soluble Groups ◽  
3 Dimensional ◽  
Cyclic Groups ◽  
Bredon Cohomology ◽  
Finite Dimensional ◽  
The Family

AbstractBy considering the Bredon analogue of complete cohomology of a group, we show that every group in the class$\cll\clh^{\mathfrak F}{\mathfrak F}$of type Bredon-FP∞admits a finite dimensional model for$E_{\frak F}G$.We also show that abelian-by-infinite cyclic groups admit a 3-dimensional model for the classifying space for the family of virtually nilpotent subgroups. This allows us to prove that for$\mathfrak {F}$, the class of virtually cyclic groups, the class of$\cll\clh^{\mathfrak F}{\mathfrak F}$-groups contains all locally virtually soluble groups and all linear groups over${\mathbb{C}}$of integral characteristic.

scholarly journals Pertussis in a child of the first month of life from family contact

2021 ◽  
Vol 13 (2) ◽  
pp. 149-153
Author(s):  
O. V. Iozefovich ◽  
S. M. Kharit ◽  
E. I. Bobova ◽  
E. A. Budnikova
Keyword(s):  
Young Children ◽  
Pregnant Women ◽  
Clinical Observation ◽  
Whooping Cough ◽  
Pertussis Infection ◽  
Early Stages ◽  
Parents And Children ◽  
The Family ◽  
The Face ◽  
Family Contact

A case of whooping cough in a moderate form in a child of the first month of life is described in the presented clinical observation. The moderate form was manifested by the duration of the preconvulsive period up to 5 days, the appearance of cyanosis of the face when coughing in the early stages of the disease (1 week), an increase in the number of coughing attacks. The difficulties of treating pertussis in young children are demonstrated by our observation of the course of the disease. There is no vaccination against pertussis in children in the family due to the refusal of parents and children with prolonged coughing were not examined at the outpatient stage. As a result, chemoprophylaxis was not performed on time and the newborn was discharged from the hospital to the center of pertussis infection. The solution to the problem of reducing the incidence in children in the first months of life should be vaccination of pregnant women in the last stages, and vaccination of the environment, including agerelated revaccinations. 

scholarly journals A CONCEPÇÃO E A PERSPECTIVA FILOSÓFICA SOBRE O MODELO DE FAMÍLIA EUDEMONISTA FRENTE AO ENTENDIMENTO MAJORITÁRIO DE VÍNCULO BIOLÓGICO COMO ELEMENTO CARACTERIZADOR DA ENTIDADE FAMILIAR

2021 ◽  
Vol 9 (204) ◽  
pp. 1-18
Author(s):  
Gabriela Dantas da Silva
Keyword(s):  
Immanuel Kant ◽  
Legal System ◽  
Fundamental Rights ◽  
Main Topic ◽  
Social Sphere ◽  
Legal Challenges ◽  
The Family ◽  
The Face ◽  
The Subject ◽  
Philosophical Nature

The main topic of this article is to analyze the philosophical contributions on the subject and to criticize the State's actions as an entity that supports this family model. In a second moment, emphasis is given to the philosophical contributions of Immanuel Kant and Aristotle on morals and ethics, extending them to the family and social sphere. The concept of the Eudemonist Family with great Aristotelian influence, as well as some of the main contemporary family entities in brief contextualization, is also presented, to finally address the main problem of this article: the legal challenges of the Eudemonist family in the face of the majority understanding of biological bond as a characterizing element of the family entity. In conclusion, the philosophical nature is of great importance for the understanding of these new conceptions of the family, since the Brazilian legal system did not, in fact, contemplate the experience of society, not giving up texts that were expressly discriminatory and that excluded fundamental rights of individuals.

Indecomposability of entanglement witnesses

2015 ◽  
pp. 478-488
Author(s):  
Xiao-Fei Qi ◽  
Jin-Chuan Hou
Keyword(s):  
Entangled States ◽  
Finite Dimensional ◽  
Entanglement Witnesses ◽  
Ppt Criterion

We present a way to construct indecomposable entanglement witnesses from any permutations pi with pi^2 not equal to id for any finite dimensional bipartite systems. Some new bounded entangled states are also found, which can be detected by such witnesses while cannot be distinguished by PPT criterion, realignment criterion, etc.

Sign in / Sign up

Export Citation Format

Share Document