scholarly journals De Finetti Theorems for Braided Parafermions

2019 ◽  
Vol 373 (1) ◽  
pp. 435-456
Author(s):  
Kaifeng Bu ◽  
Arthur Jaffe ◽  
Zhengwei Liu ◽  
Jinsong Wu
Keyword(s):  
Quantum Information ◽  
Braid Group ◽  
Natural Action ◽  
New Type ◽  
Invariant States ◽  
De Finetti Theorem ◽  
De Finetti ◽  
Natural Symmetry ◽  
Independence Of Random Variables

Abstract The classical de Finetti theorem in probability theory relates symmetry under the permutation group with the independence of random variables. This result has application in quantum information. Here we study states that are invariant with respect to a natural action of the braid group, and we emphasize the pictorial formulation and interpretation of our results. We prove a new type of de Finetti theorem for the four-string, double-braid group acting on the parafermion algebra to braid qudits, a natural symmetry in the quon language for quantum information. We prove that a braid-invariant state is extremal if and only if it is a product state. Furthermore, we provide an explicit characterization of braid-invariant states on the parafermion algebra, including finding a distinction that depends on whether the order of the parafermion algebra is square free. We characterize the extremal nature of product states (an inverse de Finetti theorem).

Characterization of a new type of mead fermented with Cannabis sativa L. (hemp)

2021 ◽  
Author(s):  
Raffaele Romano ◽  
Alessandra Aiello ◽  
Lucia De Luca ◽  
Rosario Sica ◽  
Emilio Caprio ◽  
...  
Keyword(s):  
Cannabis Sativa ◽  
New Type

scholarly journals A most compendious and facile quantum de Finetti theorem

2009 ◽  
Vol 50 (1) ◽  
pp. 012105 ◽  
Author(s):  
Robert König ◽  
Graeme Mitchison
Keyword(s):  
De Finetti Theorem ◽  
De Finetti ◽  
Quantum De Finetti Theorem

Characterization of the Generalized Pólya Process and its Applications

2014 ◽  
Vol 46 (4) ◽  
pp. 1148-1171 ◽  
Author(s):  
Ji Hwan Cha
Keyword(s):  
Joint Distribution ◽  
Arrival Times ◽  
Stochastic Intensity ◽  
Polya Process ◽  
New Type ◽  
Compound Process ◽  
Pólya Process

In this paper some important properties of the generalized Pólya process are derived and their applications are discussed. The generalized Pólya process is defined based on the stochastic intensity. By interpreting the defined stochastic intensity of the generalized Pólya process, the restarting property of the process is discussed. Based on the restarting property of the process, the joint distribution of the number of events is derived and the conditional joint distribution of the arrival times is also obtained. In addition, some properties of the compound process defined for the generalized Pólya process are derived. Furthermore, a new type of repair is defined based on the process and its application to the area of reliability is discussed. Several examples illustrating the applications of the obtained properties to various areas are suggested.

scholarly journals Apply current exponential de Finetti theorem to realistic quantum key distribution

2014 ◽  
Vol 33 ◽  
pp. 1460370 ◽  
Author(s):  
Yi-Bo Zhao ◽  
Zhen-Qiang Yin
Keyword(s):  
Quantum Key Distribution ◽  
Key Distribution ◽  
Small Error ◽  
Heterodyne Detection ◽  
Finite Dimensional Subspace ◽  
Dimensional System ◽  
Finite Dimensional ◽  
Security Proof ◽  
De Finetti Theorem ◽  
De Finetti

In the realistic quantum key distribution (QKD), Alice and Bob respectively get a quantum state from an unknown channel, whose dimension may be unknown. However, while discussing the security, sometime we need to know exact dimension, since current exponential de Finetti theorem, crucial to the information-theoretical security proof, is deeply related with the dimension and can only be applied to finite dimensional case. Here we address this problem in detail. We show that if POVM elements corresponding to Alice and Bob's measured results can be well described in a finite dimensional subspace with sufficiently small error, then dimensions of Alice and Bob's states can be almost regarded as finite. Since the security is well defined by the smooth entropy, which is continuous with the density matrix, the small error of state actually means small change of security. Then the security of unknown-dimensional system can be solved. Finally we prove that for heterodyne detection continuous variable QKD and differential phase shift QKD, the collective attack is optimal under the infinite key size case.

Characterization of a new type of molybdenum cofactor-mutant in cell cultures of Nicotiana tabacum

1984 ◽  
Vol 195 (1-2) ◽  
pp. 186-189 ◽  
Author(s):  
Ralf R. Mendel ◽  
Roger J. Buchanan ◽  
John L. Wray
Keyword(s):  
Nicotiana Tabacum ◽  
Cell Cultures ◽  
Molybdenum Cofactor ◽  
New Type

scholarly journals Partial purification and characterization of an endo-α-N-acetylgalactosaminidase from the culture medium of Streptomyces sp. OH-11242

1992 ◽  
Vol 288 (2) ◽  
pp. 475-482 ◽  
Author(s):  
I Ishii-Karakasa ◽  
H Iwase ◽  
K Hotta ◽  
Y Tanaka ◽  
S Omura
Keyword(s):  
Enzyme Activity ◽  
Culture Medium ◽  
Gel Filtration ◽  
Partial Purification ◽  
Gastric Mucus ◽  
Purification And Characterization ◽  
Streptomyces Sp ◽  
Optimum Ph ◽  
New Type

For the purification of a new type of endo-alpha-N-acetylgalactosaminidase from the culture medium of Streptomyces sp. OH-11242 (endo-GalNAc-ase-S) [Iwase, Ishii, Ishihara, Tanaka, Omura & Hotta (1988) Biochem. Biophys. Res. Commun. 151, 422-428], a method for assaying enzyme activity was established. Using purified pig gastric mucus glycoprotein (PGM) as the substrate, oligosaccharides liberated from PGM were pyridylaminated, and the reducing terminal sugars of oligosaccharides larger than Gal beta 1-3GalNAc were analysed by h.p.1.c. The crude enzyme of endo-GalNAc-ase-S was prepared as an 80% (w/v) ammonium sulphate precipitate from the concentrated culture medium. The enzyme was partially purified by gel chromatofocusing and subsequent DEAE-Toyopearl chromatography. Endo-enzyme activity eluted around pI 4.8 on a gel chromatofocusing column and eluted with 0.19-0.25 M-NaCl on a DEAE-Toyopearl column. In the enzyme fraction obtained, no exo-glycosidases or proteases could be detected. The molecular mass of the enzyme was estimated as 105 kDa by gel filtration, and the optimum pH was 5.5. Endo-GalNAc-ase-S hydrolysed the O-glycosidic linkage between GalNAc and Ser (Thr) in 3H-labelled and unlabelled asialofetuin, liberating both the disaccharide (Gal beta 1-3GalNAc) and the tetrasaccharide [Gal beta 1-3 (Gal beta 1-4GlcNAc beta 1-6)GalNAc]. When endo-alpha-N-acetylgalactosaminidase from Alcaligenes sp. (endo-GalNac-ase-A) was incubated with 3H-labelled and unlabelled asialofetuin, only the disaccharide (Gal beta 1-3GalNAc) was liberated.

Synthesis and Characterization of Foamed Cassava Starch Material

2012 ◽  
Vol 262 ◽  
pp. 405-409
Author(s):  
Yang Liu ◽  
Shan Shan Li ◽  
Xin Yan Yang ◽  
Chong Xing Huang
Keyword(s):  
Reaction Time ◽  
Cassava Starch ◽  
Synthesis And Characterization ◽  
Compression Stress ◽  
Static Compression ◽  
Foaming Agent ◽  
New Type ◽  
Analysis System ◽  
Central Composite

A new-type foam composites were fabricated by baking method from a mixture of cassava starch. A central composite design was constructed using the software Statistics Analysis System 9.0 to evaluate the static compression stress of foamed material. The optimum dosages of adhesive, foaming agent, catalyst were 2.0g, 6.0g, 2.4g, respectively; reaction temperature 65°C; reaction time 16 hour.

ChemInform Abstract: Crystal Growth and Characterization of New-Type Lead Tungstate Single Crystal.

ChemInform ◽  
2012 ◽  
Vol 43 (52) ◽  
pp. no-no
Author(s):  
Hong Wang ◽  
Hao-Hong Chen ◽  
Horst Borrmann ◽  
Zhi-Jun Zhang ◽  
Jing-Tai Zhao
Keyword(s):  
Crystal Growth ◽  
Single Crystal ◽  
Lead Tungstate ◽  
New Type
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