scholarly journals k-stretchability of entanglement, and the duality of k-separability and k-producibility

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 204 ◽  
Author(s):  
Szilárd Szalay
Keyword(s):  
Detailed Analysis ◽  
Partial Order ◽  
Classification Scheme ◽  
Quantum Systems ◽  
General Treatment ◽  
Young Diagrams ◽  
Multipartite Quantum Systems ◽  
Maximal Size ◽  
Correlation Properties

The notions of k-separability and k-producibility are useful and expressive tools for the characterization of entanglement in multipartite quantum systems, when a more detailed analysis would be infeasible or simply needless. In this work we reveal a partial duality between them, which is valid also for their correlation counterparts. This duality can be seen from a much wider perspective, when we consider the entanglement and correlation properties which are invariant under the permutations of the subsystems. These properties are labeled by Young diagrams, which we endow with a refinement-like partial order, to build up their classification scheme. This general treatment reveals a new property, which we call k-stretchability, being sensitive in a balanced way to both the maximal size of correlated (or entangled) subsystems and the minimal number of subsystems uncorrelated with (or separable from) one another.

MALAT1 as a Versatile Regulator of Cancer: Overview of the updates from Predatory role as Competitive Endogenous RNA to Mechanistic In-sights

2020 ◽  
Vol 20 ◽  
Author(s):  
Ammad Ahmad Farooqi ◽  
Evangelia Legaki ◽  
Maria Gazouli ◽  
Silvia Rinaldi ◽  
Rossana Berardi
Keyword(s):  
Molecular Biology ◽  
Detailed Analysis ◽  
Signaling Pathways ◽  
Individualized Medicine ◽  
Signaling Cascades ◽  
Oncogenic Signaling ◽  
Non Coding Rnas ◽  
Oncogenic Signaling Pathways ◽  
Competitive Endogenous Rna

: Central dogma of molecular biology has remained cornerstone of classical molecular biology but serendipitous discovery of microRNAs (miRNAs) in nematodes paradigmatically shifted our current understanding of the intricate mech-anisms which occur during transitions from transcription to translation. Discovery of miRNA captured tremendous attention and appreciation and we had witnessed an explosion in the field of non-coding RNAs. Ground-breaking discoveries in the field of non-coding RNAs have helped in better characterization of microRNAs and long non-coding RNAs (LncRNAs). There is an ever-increasing list of miRNA targets which are regulated by MALAT1 to stimulate or repress expression of tar-get genes. However, in this review our main focus is to summarize mechanistic insights related to MALAT1-mediated regu-lation of oncogenic signaling pathways. We have discussed how MALAT1 modulated TGF/SMAD and Hippo pathways in various cancers. We have also comprehensively summarized how JAK/STAT and Wnt/β-catenin pathways stimulated MALAT1 expression and consequentially how MALAT1 potentiated these signaling cascades to promote cancer. MALAT1 research has undergone substantial broadening however, there is still a need to identify additional mechanisms. MALAT1 is involved in multi-layered regulation of multiple transduction cascades and detailed analysis of different pathways will be helpful in getting a step closer to individualized medicine.

Separability criteria based on the Bloch representation of density matrices

2007 ◽  
Vol 7 (7) ◽  
pp. 624-638
Author(s):  
J. de Vicente
Keyword(s):  
Sufficient Conditions ◽  
Quantum Systems ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Pure Product ◽  
Separability Problem ◽  
Arbitrary Dimensions ◽  
Necessary And Sufficient ◽  
Bloch Representation

We study the separability of bipartite quantum systems in arbitrary dimensions using the Bloch representation of their density matrix. This approach enables us to find an alternative characterization of the separability problem, from which we derive a necessary condition and sufficient conditions for separability. For a certain class of states the necessary condition and a sufficient condition turn out to be equivalent, therefore yielding a necessary and sufficient condition. The proofs of the sufficient conditions are constructive, thus providing decompositions in pure product states for the states that satisfy them. We provide examples that show the ability of these conditions to detect entanglement. In particular, the necessary condition is proved to be strong enough to detect bound entangled states.

scholarly journals Selective Phase Rotation Quantum Gate Entangler

2009 ◽  
Vol 16 (04) ◽  
pp. 407-412
Author(s):  
Hoshang Heydari
Keyword(s):  
Integral Transform ◽  
Quantum Algorithms ◽  
Quantum Systems ◽  
Quantum Gate ◽  
Multipartite Quantum Systems ◽  
Phase Rotation ◽  
Quantum Integral ◽  
Qubit States

We construct a quantum gate entangler for multi-qubit states based on a selective phase rotation transform. In particular, we establish a relation between the quantum integral transform and the quantum gate entangler in terms of universal controlled gates for multi-qubit states. Our result gives an effective way of constructing topological and geometrical quantum gate entanglers for multipartite quantum systems, which could also lead to a construction of geometrical quantum algorithms.

Characterization of Defect Structures in SiC Single Crystals Using Synchrotron X-Ray Topography

1993 ◽  
Vol 307 ◽  
Author(s):  
S. Wang ◽  
M. Dudley ◽  
C. Carter ◽  
D. Asbury ◽  
C. Fazit
Keyword(s):  
Detailed Analysis ◽  
Single Crystals ◽  
Basal Plane ◽  
Defect Structures ◽  
Dislocation Generation ◽  
Screw Dislocations ◽  
X Ray ◽  
White Beam

ABSTRACTSynchrotron white beam X-ray topography has been used to characterize defect structures in 6H-SiC wafers grown on (0001) seeds. Two major types of defects are observed: super screw dislocations approximately perpendicular to the basal plane and dislocation networks lying in the basal plane. The super screw dislocations, which have open cores, are growth dislocations. These dislocations act as sources and/or sinks for the glide dislocation networks. Detailed analysis and discussion of dislocation generation phenomena and Burgers vectors will be presented.

scholarly journals Production and Characterization of Oxyhydroxyapatites

2018 ◽  
Vol 762 ◽  
pp. 48-53
Author(s):  
Liene Pluduma ◽  
Karlis Agris Gross ◽  
Christian Rey ◽  
Arnolds Ubelis ◽  
Astrida Berzina
Keyword(s):  
Fourier Transform ◽  
Detailed Analysis ◽  
Absorption Line ◽  
Infrared Absorption ◽  
Fourier Transform Infrared ◽  
Peak Shift ◽  
Ion Absorption ◽  
Hydroxyl Ion

The amount and alignment of hydroxyl ions influence the bioactivity of hydroxyapatite. Hydroxyl ions in hydroxyapatite are the most mobile and upon heating are the first to leave the lattice to form oxyhydroxyapatite. This work describes a method for producing hydroxyapatite with different amounts of hydroxyl ions, and reports on the changes in Fourier transform infrared absorption at increasing level of dehydroxylation. Detailed analysis of spectra in the 500 – 700 cm-1 range showed a peak shift for the hydroxyl ion absorption line at 632 cm-1 to 637 cm-1 and an increase in the wavenumber for the phosphate line at 575 cm-1.

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